2016

• Arne Weigenand and Schellenberger Costa, Michael and Ngo, Hong-Viet and Matthias Mölle and Lisa Marshall and Jens Christian Claussen and Thomas Martinetz: A thalamocortical neural mass model of evoked potentials during NREM sleep. in Cosyne Abstracts 2016, Salt Lake City USA, 2016
  

  @inproceedings{WeScNgMoMaClMa16,
  author = {Arne Weigenand and Schellenberger Costa, Michael and Ngo, Hong-Viet and Matthias M{\"o}lle and Lisa Marshall and Jens Christian Claussen and Thomas Martinetz},
  title = {A thalamocortical neural mass model of evoked potentials during NREM sleep},
  booktitle = {Cosyne Abstracts 2016, Salt Lake City USA},
  year = {2016}
  }
  
  

• Schellenberger Costa, Michael and Arne Weigenand and Ngo, Hong-Viet V. and Lisa Marshall and Jan Born and Thomas Martinetz and Jens Christian Claussen: A Thalamocortical Neural Mass Model of the EEG during NREM Sleep and Its Response to Auditory Stimulation. PloS computational Biology, no. 12, pp. e1005022, 2016
  

  @article{ScWeNgMaBoMaCl16,
  author = {Schellenberger Costa, Michael and Arne Weigenand and Ngo, Hong-Viet V. and Lisa Marshall and Jan Born and Thomas Martinetz and Jens Christian Claussen},
  title = {{A} {T}halamocortical {N}eural {M}ass {M}odel of the {EEG} during {NREM} {S}leep and {I}ts {R}esponse to {A}uditory {S}timulation},
  journal = {PloS computational Biology},
  volume = {12},
  number = {9},
  pages = {e1005022},
  year = {2016},
  url = {https://www.inb.uni-luebeck.de/fileadmin/files/publications/inb-publications/pdfs/ScWeNgMaBoMaCl16.pdf}
  }
  
  

• Schellenberger Costa, Michael and Jan Born and Jens Christian Claussen and Thomas Martinetz: Modeling the effect of sleep regulation on a neural mass model. Journal of Computational Neuroscience, no. 41, pp. 15-28, 2016
  

  @article{ScBoClMa16,
  author = {Schellenberger Costa, Michael and Jan Born and Jens Christian Claussen and Thomas Martinetz},
  title = {{Modeling the effect of sleep regulation on a neural mass model}},
  journal = {Journal of Computational Neuroscience},
  volume = {41},
  number = {1},
  pages = {15--28},
  year = {2016},
  issn={1573-6873},
  doi={10.1007/s10827-016-0602-z},
  url = {https://www.inb.uni-luebeck.de/fileadmin/files/publications/inb-publications/pdfs/ScBoClMa16.pdf}
  }
  
  

2015

• Simon Dornseifer and Sarah Willkomm and Kretschmer-Kazemi Far, Rosel and Janine Liebschwager and Foteini Beltsiou and Kirsten Frank and Sandra D. Laufer and Thomas Martinetz and Georg Sczakiel and Jens Christian Claussen and Tobias Restle: RNAi revised-target mRNA-dependent enhancement of gene silencing. Nucleic acids research, no. 43, pp. 10623-10632, 2015
  

  @article{DoWiKrLiBeFrLaMaScClRe16,
  author = {Simon Dornseifer and Sarah Willkomm and Kretschmer-Kazemi Far, Rosel and Janine Liebschwager and Foteini Beltsiou and Kirsten Frank and Sandra D. Laufer and Thomas Martinetz and Georg Sczakiel and Jens Christian Claussen and Tobias Restle},
  title = {{RNAi} revised-target {mRNA}-dependent enhancement of gene silencing},
  journal = {Nucleic acids research},
  volume = {43},
  number = {22},
  pages = {10623--10632},
  year = {2015},
  url = {https://www.inb.uni-luebeck.de/fileadmin/files/publications/inb-publications/pdfs/DoWiKrLiBeFrLaMaScClRe16.pdf},
  url = {http://nar.oxfordjournals.org/content/43/22/10623.full},
  doi = {http://dx.doi.org/10.1093/nar/gkv1200}
  }
  
  

2014

• Arne Weigenand and Schellenberger Costa, Michael and Ngo, Hong-Viet Victor and Jens Christian Claussen and Thomas Martinetz: Characterization of K-Complexes and Slow Wave Activity in a Neural Mass Model. PLoS Computational Biology, no. 10, pp. e1003923, 2014
  

  @article{WeScNgClMa14,
  author = {Arne Weigenand and Schellenberger Costa, Michael and Ngo, Hong-Viet Victor and Jens Christian Claussen and Thomas Martinetz},
  title = {{Characterization of {K}-{C}omplexes and {S}low {W}ave {A}ctivity in a {N}eural {M}ass {M}odel}},
  journal = {PLoS Computational Biology},
  volume = {10},
  pages = {e1003923},
  year = {2014},
  doi = {10.1371/journal.pcbi.1003923},
  url = {https://www.inb.uni-luebeck.de/fileadmin/files/publications/inb-publications/pdfs/WeScNgClMa14.pdf}
  }
  
  

2012

• Markus Schütt and Jens Christian Claussen: Desynchronizing effect of high-frequency stimulation in a generic cortical network model. Cognitive Neurodynamics, no. 6, pp. 343-351, 2012
  

  @article{ScCl12,
  author = {Markus Sch{\"u}tt and Jens Christian Claussen},
  title = {Desynchronizing effect of high-frequency stimulation in a generic cortical network model},
  journal = {Cognitive Neurodynamics},
  volume = {6},
  number = {4},
  pages = {343--351},
  url = {http://dx.doi.org/10.1007/s11571-012-9199-8},
  year = {2012}
  }
  
  

• Ngo, Hong-Viet V. and Claussen, Jens Christian and Jan Born and Matthias Mölle: Induction of slow oscillations by rhythmic acoustic stimulation. Journal of Sleep Research, 2012
  

  @article{NgClBoMo12,
  author = {Ngo, Hong-Viet V. and Claussen, Jens Christian and Jan Born and Matthias M{\"o}lle},
  title = {Induction of slow oscillations by rhythmic acoustic stimulation},
  journal = {Journal of Sleep Research},
   year = {2012}
  }
  
  

• Felix Njap and Jens Christian Claussen and Andreas Moser and Ulrich G. Hofmann: Modeling Effect of GABAergic Current in Basal Ganglia Computational Model. Cognitive Neurodynamics, no. 6, pp. 333-342, 2012
  

  @article{NjClMoHo12,
  author = {Felix Njap and Jens Christian Claussen and Andreas Moser and Ulrich G. Hofmann},
  title = {Modeling Effect of GABAergic Current in Basal Ganglia Computational Model},
  journal = {Cognitive Neurodynamics},
  volume = {6},
  number = {4},
  pages = {333--342},
  year = {2012},
  url = {http://dx.doi.org/10.1007/s11571-012-9203-3}
  }
  
  

• Jens Christian Claussen and Ulrich G. Hofmann: Sleep, Neuroengineering, and Dynamics. Cognitive Neurodynamics, no. 6, pp. 211-214, 2012
  

  @article{ClHo12,
  author = {Jens Christian Claussen and Ulrich G. Hofmann},
  title = {Sleep, Neuroengineering, and Dynamics},
  journal = {Cognitive Neurodynamics},
  volume = {6},
  number = {3},
  pages = {211--214},
  url = {http://dx.doi.org/10.1007/s11571-012-9204-2},
  year = {2012}
  }
  
  

• Arne Traulsen and Jens Christian Claussen and Christoph Hauert: Stochastic differential equations for evolutionary dynamics with demographic noise and mutations. Physical Review E, no. 85, pp. 041901, 2012
  

  @article{TrClHa12,
  author = {Arne Traulsen and Jens Christian Claussen and Christoph Hauert},
  title = {Stochastic differential equations for evolutionary dynamics with demographic noise and mutations},
  journal = {Physical Review E},
  volume = {85},
  pages = {041901},
  url = {http://arxiv.org/abs/1203.3367},
  url = {http://dx.doi.org/10.1103/PhysRevE.85.041901},
  year = {2012}
  }
  
  

• Weigenand, Arne and Martinetz, Thomas and Claussen, Jens Christian: The phase response of the cortical slow oscillation. Cognitive Neurodynamics, no. 6, pp. 367-375, 2012
  

  @article{WeMaCl12,
  author = {Weigenand, Arne and Martinetz, Thomas and Claussen, Jens Christian},
  title = {The phase response of the cortical slow oscillation},
  journal = {Cognitive Neurodynamics},
  volume = {6},
  number = {4},
  pages = {367--375},
  year = {2012},
  url = {http://dx.doi.org/10.1007/s11571-012-9207-z}
  }
  
  

2011

• Felix Njap and Jens Christian Claussen and Andreas Moser and Ulrich G. Hofmann: Comparing Realistic subthalamic nucleus neuron models. AIP Conf. Proc, in AIP Conf. Proc. / Volume 1371 / Issue 1, no. 1371, pp. 102-109, 2011
  

  @inproceedings{NjClMoHo11,
  author = {Felix Njap and Jens Christian Claussen and Andreas Moser and Ulrich G. Hofmann},
  title = {Comparing Realistic subthalamic nucleus neuron models},
  booktitle = {AIP Conf. Proc. / Volume 1371 / Issue 1},
  journal = {AIP Conf. Proc},
  volume = {1371},
  pages = {102--109},
  url = {http://link.aip.org/link/?APCPCS/1371/102/1},
  comment = {Proceedings of the CMLS 2011, Japan},
  year = {2011}
  }
  
  

• Eckehard Olbrich and Jens Christian Claussen and Peter Achermann: The multiple time scales of sleep dynamics as a challenge for modeling the sleeping brain. Phil. Trans. Roy. Soc A, no. 369, pp. 3884-3901, 2011
  

  @article{OlClAc11,
  author = {Eckehard Olbrich and Jens Christian Claussen and Peter Achermann},
  title = {The multiple time scales of sleep dynamics as a challenge for modeling the sleeping brain},
  journal = {Phil. Trans. Roy. Soc A},
  volume = {369},
  pages= {3884--3901},
  year = {2011},
  url = {http://dx.doi.org/10.1098/rsta.2011.0082}
  }
  
  

2010

• Markus Schütt and Jens Christian Claussen: Mean extinction times in cyclic coevolutionary rock-paper-scissors dynamics. 2010
  

  @misc{ScCl10a,
  author = {Markus Sch{\"u}tt and Jens Christian Claussen},
  title = {Mean extinction times in cyclic coevolutionary rock-paper-scissors dynamics},
  note = {working paper q-bio},
  year = {2010},
  url = {http://arxiv.org/abs/1003.2427}
  }
  
  

• Markus Schütt and Jens Christian Claussen: Stabilization of biodiversity in the coevolutionary rock-paper-scissors game on complex networks. 2010
  

  @misc{ScCl10b,
  author = {Markus Sch{\"u}tt and Jens Christian Claussen},
  title = {Stabilization of biodiversity in the coevolutionary rock-paper-scissors game on complex networks},
  note = {working paper q-bio},
  year = {2010},
  url = {http://arxiv.org/abs/1003.2922}
  }
  
  

• Weigenand, Arne and Ngo, Hong-Viet V. and Higgins, David and Martinetz, Thomas and Claussen, Jens Christian: Switching between Up and Down States in a conductance-based cortex model. in Proceedings of the International Biosignal Processing Conference, Berlin, Germany, pp. 105:1-3, 2010
  

  @inproceedings{WeNgHiMaCl10,
  author = {Weigenand, Arne and Ngo, Hong-Viet V. and Higgins, David and Martinetz, Thomas and Claussen, Jens Christian},
  title = {Switching between {U}p and {D}own {S}tates in a conductance-based cortex model},
  booktitle = {Proceedings of the International Biosignal Processing Conference, Berlin, Germany},
  pages = {105:1--3},
  year = {2010}
  }
  
  

• Ngo, Hong-Viet V. and Köhler, Jan and Mayer, Jörg and Claussen, Jens Christian and Schuster, Heinz Georg: Triggering up states in all-to-all coupled neurons. Europhysics Letters, no. 89, pp. 68002, 2010
  

  @article{NgKoMaClSc10,
  author = {Ngo, Hong-Viet V. and K{\"o}hler, Jan and Mayer, J{\"o}rg and Claussen, Jens Christian and Schuster, Heinz Georg},
  title = {Triggering up states in all-to-all coupled neurons},
  journal = {Europhysics Letters},
  volume = {89},
  pages = {68002},
  year = {2010},
  url = {http://dx.doi.org/10.1209/0295-5075/89/68002},
  url = {http://arxiv.org/abs/1003.2111}
  }
  
  

• Ngo, Hong-Viet V. and Köhler, Jan and Mayer, Jörg and Claussen, Jens Christian and Schuster, Heinz Georg: Triggering up states in all-to-all coupled neurons: a simple model of cortical up-down switching. in Proceedings of the International Biosignal Processing Conference, Berlin, Germany, pp. 57:1-4, 2010
  

  @inproceedings{NgKoMaClSc10a,
  author = {Ngo, Hong-Viet V. and K{\"o}hler, Jan and Mayer, J{\"o}rg and Claussen, Jens Christian and Schuster, Heinz Georg},
  title = {Triggering up states in all-to-all coupled neurons: a simple model of cortical up-down switching},
  booktitle = {Proceedings of the International Biosignal Processing Conference, Berlin, Germany},
  pages = {57:1--4},
  year = {2010}
  }
  
  

2009

• Heinz Georg Schuster and Le Van Quyen, Michel and Mario Chavez and Jan Köhler and Jörg Mayer and Jens Christian Claussen: Dynamical Behavior and Control of Coupled Threshold Elements with Self-Inhibition. International Journal of Bifurcation and Chaos, no. 19, pp. 3119-3128, 2009
  

  @article{ScQuChKoMaCl09,
  author = {Heinz Georg Schuster and Le Van Quyen, Michel and Mario Chavez and Jan K{\"o}hler and J{\"o}rg Mayer and Jens Christian Claussen},
  title = {Dynamical {B}ehavior and {C}ontrol of {C}oupled {T}hreshold {E}lements with {S}elf-{I}nhibition},
  journal = {International Journal of Bifurcation and Chaos},
  pages = {3119--3128},
  volume = {19},
  number = {9},
  year = {2009},
  abstract= {Coupled threshold elements with self-inhibition display a phase transition to an oscillating state where the elements fire in synchrony with a period T that is of the order of the dead-time caused by self-inhibition. This transition is noise-activated and therefore displays strong collectively enhanced stochastic resonance. For an exponentially decaying distribution of dead-times the transition to the oscillating state occurs, coming from high noise temperatures, via a Hopf bifurcation and coming from low temperatures, via a saddle node bifurcation. The transitions can be triggered externally by noise and oscillating signals. This opens up new possibilities for controlling slow wave sleep.},
  url = {http://dx.doi.org/10.1142/S0218127409024694}
  }
  
  

2008

• Jens Christian Claussen: Cyclic coevolutionary dynamics in finite populations: From discrete stochastic processes to replicator and Fokker-Planck equations. in Proceedings of the 8-th German Workshop on Artificial Life GWAL8, Leipzig, 2008
  

  @inproceedings{Cl08d,
  author = {Jens Christian Claussen},
  title = {Cyclic coevolutionary dynamics in finite populations: From discrete stochastic processes to replicator and Fokker-Planck equations},
  booktitle = {Proceedings of the 8-th German Workshop on Artificial Life GWAL8, Leipzig},
  year = {2008},
  url = {http://gwal.izbi.uni-leipzig.de/index.php?page=70}
  }
  
  

• Jens Christian Claussen and Arne Traulsen: Cyclic dominance and biodiversity in well-mixed populations. Physical Review Letters, no. 100, pp. 058104, 2008
  

  @article{ClTr08,
  author = {Jens Christian Claussen and Arne Traulsen},
  title = {Cyclic dominance and biodiversity in well-mixed populations},
  journal = {Physical Review Letters},
  volume = {100},
  pages = {058104},
  year = {2008},
  abstract = {Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we show that even in well-mixed finite populations, where the dynamics is inherently stochastic, biodiversity is possible with three cyclic-dominant strategies. We show how the interplay of evolutionary dynamics, discreteness of the population, and the nature of the interactions influences the coexistence of strategies. We calculate a critical population size above which coexistence is likely.},
  url = {http://dx.doi.org/10.1103/PhysRevLett.100.058104}
  }
  
  

• Jens Christian Claussen: Drift reversal in asymmetric coevolutionary conflicts: influence of microscopic processes and population size. Banach Center Publications, no. 80, pp. 17-31, 2008
  

  @article{Cl08bc,
  author = {Jens Christian Claussen},
  title = {Drift reversal in asymmetric coevolutionary conflicts: influence of microscopic processes and population size},
  journal = {Banach Center Publications},
  volume = {80},
  pages = {17--31},
  year = {2008},
  url = {http://dx.doi.org/10.4064/bc80-0-1},
  url = {http://journals.impan.gov.pl/bc/},
  note = {(Invited Review)}
  }
  
  

• Jens Christian Claussen: Floquet stability analysis of Ott-Grebogi-Yorke and difference control. New Journal of Physics, no. 10, pp. 063006, 2008
  

  @article{Cl08a,
  author = {Jens Christian Claussen},
  title = {Floquet stability analysis of {O}tt-{G}rebogi-{Y}orke and difference control},
  journal = {New Journal of Physics},
  volume = {10},
  pages = {063006},
  year = {2008},
  url = {http://dx.doi.org/10.1088/1367-2630/10/6/063006},
  abstract = {Stabilization of instable periodic orbits of nonlinear dynamical systems has been a widely explored field theoretically and in applications. The techniques can be grouped into time-continuous control schemes based on Pyragas, and the two Poincaré-based chaos control schemes, Ott–Gebogi–Yorke (OGY) and difference control. Here, a new stability analysis of these two Poincaré-based chaos control schemes is given by means of the Floquet theory. This approach allows to calculate exactly the stability restrictions occurring for small measurement delays and for an impulse length shorter than the length of the orbit. This is of practical experimental relevance; to avoid a selection of the relative impulse length by trial and error, it is advised to investigate whether the used control scheme itself shows systematic limitations on the choice of the impulse length. To investigate this point, a Floquet analysis is performed. For OGY control the influence of the impulse length is marginal. As an unexpected result, difference control fails when the impulse length is taken longer than a maximal value that is approximately one half of the orbit length for small Ljapunov numbers and decreases with the Ljapunov number.}
  }
  
  

• Torsten Röhl and Arne Traulsen and Jens Christian Claussen and Heinz Georg Schuster: Stochastic gain in finite populations. Physical Review E, no. 78, pp. 026108, 2008
  

  @article{RoTrClSc08,
  author = {Torsten R{\"o}hl and Arne Traulsen and Jens Christian Claussen and Heinz Georg Schuster},
  title = {Stochastic gain in finite populations},
  journal = {Physical Review E},
  pages = {026108},
  volume = {78},
  year = {2008},
  abstract = {Flexible learning rates can lead to increased payoffs under the influence of noise. In a previous paper [Traulsen et al., Phys. Rev. Lett. 93, 028701 (2004)], we have demonstrated this effect based on a replicator dynamics model which is subject to external noise. Here, we utilize recent advances on finite population dynamics and their connection to the replicator equation to extend our findings and demonstrate the stochastic gain effect in finite population systems. Finite population dynamics is inherently stochastic, depending on the population size and the intensity of selection, which measures the balance between the deterministic and the stochastic parts of the dynamics. This internal noise can be exploited by a population using an appropriate microscopic update process, even if learning rates are constant.},
  url = {http://dx.doi.org/10.1103/PhysRevE.78.026108}
  }
  
  

• Jens Christian Claussen: Time evolution of the rule 150 cellular automaton activity from a Fibonacci iteration. Journal of Mathematical Physics, no. 49, pp. 062701, 2008
  

  @article{Cl08b,
  author = {Jens Christian Claussen},
  title = {Time evolution of the rule 150 cellular automaton activity from a Fibonacci iteration},
  journal = {Journal of Mathematical Physics},
  volume = {49},
  pages = {062701},
  year = {2008},
  url = {http://dx.doi.org/10.1063/1.2939398},
  abstract = {The rule 150 cellular automaton is a remarkable discrete dynamical system, as it shows 1/f alpha spectra if started from a single seed [J. Nagler and J. C. Claussen, Phys. Rev. E 71, 067103 (2005)]. Despite its simplicity, a feasible solution for its time behavior is not obvious. Its self-similarity does not follow a one-step iteration like other elementary cellular automata. Here it is shown how its time behavior can be solved as a two-step vectorial, or string, iteration, which can be viewed as a generalization of Fibonacci iteration generating the time series from a sequence of vectors of increasing length. This allows us to compute the total activity time series more efficiently than by simulating the whole spatiotemporal process or even by using the closed expression. The results are further extended to the generalization of rule 150 to the two-dimensional case and to Bethe lattices and the relation to corresponding integer sequences is discussed.}
  }
  
  

• Jens Christian Claussen: Time-evolution of the Rule 150 cellular automaton activity on two-dimensional and Bethe lattices. in Proceedings of the 8-th German Workshop on Artificial Life GWAL8, Leipzig, 2008
  

  @inproceedings{Cl08c,
  author = {Jens Christian Claussen},
  title = {Time-evolution of the Rule 150 cellular automaton activity on two-dimensional and Bethe lattices},
  booktitle = {Proceedings of the 8-th German Workshop on Artificial Life GWAL8, Leipzig},
  year = {2008},
  url = {http://gwal.izbi.uni-leipzig.de/index.php?page=70}
  }
  
  

2007

• Jörg Mayer and Heinz Georg Schuster and Jens Christian Claussen and Matthias Mölle: Corticothalamic projections control synchronization in locally coupled bistable thalamic oscillators. Physical Review Letters, no. 99, pp. 068102, 2007
  

  @article{MaScClMo07,
  author = {J{\"o}rg Mayer and Heinz Georg Schuster and Jens Christian Claussen and Matthias M{\"o}lle},
  title = {Corticothalamic projections control synchronization in locally coupled bistable thalamic oscillators},
  journal = {Physical Review Letters},
  pages = {068102},
  volume = {99},
  year = {2007},
  abstract = {Thalamic circuits are able to generate state-dependent oscillations of different frequencies and degrees of synchronization. However, little is known about how synchronous oscillations, such as spindle oscillations in the thalamus, are organized in the intact brain. Experimental findings suggest that the simultaneous occurrence of spindle oscillations over widespread territories of the thalamus is due to the corticothalamic projections, as the synchrony is lost in the decorticated thalamus. In this Letter we study the influence of corticothalamic projections on the synchrony in a thalamic network, and uncover the underlying control mechanism, leading to a control method which is applicable for several types of oscillations in the central nervous system.},
  url = {http://dx.doi.org/10.1103/PhysRevLett.99.068102}
  }
  
  

• Jens Christian Claussen: Drift reversal in asymmetric coevolutionary conflicts: influence of microscopic processes and population size. European Physical Journal B, no. 60, pp. 391-399, 2007
  

  @article{Cl07b,
  author = {Jens Christian Claussen},
  title = {Drift reversal in asymmetric coevolutionary conflicts: influence of microscopic processes and population size},
  journal = {European Physical Journal B},
  volume = {60},
  pages = {391--399},
  year = {2007},
  url = {http://dx.doi.org/10.1140/epjb/e2007-00357-2},
  abstract = {The coevolutionary dynamics in finite populations currently is investigated in a wide range of disciplines, as chemical catalysis, biological evolution, social and economic systems. The dynamics of those systems can be formulated within the unifying framework of evolutionary game theory. However it is not a priori clear which mathematical description is appropriate when populations are not infinitely large. Whereas the replicator equation approach describes the infinite population size limit by deterministic differential equations, in finite populations the dynamics is inherently stochastic which can lead to new effects. Recently, an explicit mean-field description in the form of a Fokker-Planck equation was derived for frequency-dependent selection in finite populations based on microscopic processes. In asymmetric conflicts between two populations with a cyclic dominance, a finite-size dependent drift reversal was demonstrated, depending on the underlying microscopic process of the evolutionary update. Cyclic dynamics appears widely in biological coevolution, be it within a homogeneous population, or be it between disjunct populations as female and male. Here explicit analytic address is given and the average drift is calculated for the frequency-dependent Moran process and for different pairwise comparison processes. It is explicitely shown that the drift reversal cannot occur if the process relies on payoff differences between pairs of individuals. Further, also a linear comparison with the average payoff does not lead to a drift towards the internal fixed point. Hence the nonlinear comparison function of the frequency-dependent Moran process, together with its usage of nonlocal information via the average payoff, is the essential part of the mechanism.}
  }
  
  

• Jens Christian Claussen: Offdiagonal complexity: A computationally quick complexity measure for graphs and networks. Physica A, no. 375, pp. 365-373, 2007
  

  @article{Cl07a,
  author = {Jens Christian Claussen},
  title = {Offdiagonal complexity: A computationally quick complexity measure for graphs and networks},
  journal = {Physica A},
  volume = {375},
  pages = {365--373},
  year = {2007},
  url = {http://dx.doi.org/doi:10.1016/j.physa.2006.08.067},
  abstract = {A vast variety of biological, social, and economical networks shows topologies drastically differing from random graphs; yet the quantitative characterization remains unsatisfactory from a conceptual point of view. Motivated from the discussion of small scale-free networks, a biased link distribution entropy is defined, which takes an extremum for a power-law distribution. This approach is extended to the node–node link cross-distribution, whose nondiagonal elements characterize the graph structure beyond link distribution, cluster coefficient and average path length. From here a simple (and computationally cheap) complexity measure can be defined. This offdiagonal complexity (OdC) is proposed as a novel measure to characterize the complexity of an undirected graph, or network. While both for regular lattices and fully connected networks OdC is zero, it takes a moderately low value for a random graph and shows high values for apparently complex structures as scale-free networks and hierarchical trees. The OdC approach is applied to the Helicobacter pylori protein interaction network and randomly rewired surrogates.}
  }
  
  

• Jens Christian Claussen: Offdiagonal complexity: A computationally quick network complexity measure - Application to protein networks and cell division.. in Mathematical Modeling of Biological Systems, Volume II., pp. 279-287, Birkhäuser, Boston, 2007
  

  @inbook{Cl07odcbirk,
  author = {Jens Christian Claussen},
  title = {Offdiagonal complexity: A computationally quick network complexity measure -- Application to protein networks and cell division.},
  note = {(eds. A. Deutsch and R. Bravo de la Parra and R. de Boer and O. Diekmann and P. Jagers and E. Kisdi and M. Kretzschmar and P. Lansky and H. Metz)},
  booktitle = {Mathematical Modeling of Biological Systems, Volume II.},
  publisher = {Birkh{\"a}user, Boston},
  pages = {279--287},
  year = {2007}
  }
  
  

• Jens Christian Claussen: Poincare-based control of delayed measured systems: Limitations and Improved Control. in Handbook of Chaos Control, pp. 109-128, VCH Wiley, 2007
  

  @inbook{Cl07cc,
  author = {Jens Christian Claussen},
  title = {Poincare-based control of delayed measured systems: Limitations and Improved Control},
  note = {(eds. Heinz Georg Schuster and Eckehard Sch{\"o}ll)},
  booktitle = {Handbook of Chaos Control},
  pages = {109--128},
  publisher = {VCH Wiley},
  year = {2007},
  url = {http://arxiv.org/abs/0712.4221}
  }
  
  

• Jens Christian Claussen and Jürgen Carstensen: Underetching from simple reaction kinetics. in Proceedings of the 3-rd International Conference Physics and Control (PhysCon 2007), Potsdam, 2007
  

  @inproceedings{ClCa07,
  author = {Jens Christian Claussen and J{\"u}rgen Carstensen},
  title = {Underetching from simple reaction kinetics},
  booktitle = {Proceedings of the 3-rd International Conference Physics and Control (PhysCon 2007), Potsdam},
  year = {2007},
  url = {http://lib.physcon.ru/?item=1379},
  abstract = {The morphological richness of electrochemical semiconductor etching is not sufficiently counterparted yet by theoretical modeling. This paper investigates a minimal version of the Current-Burst model with Aging of F\"oll and Carstensen and demonstrates for a restricted geometry that the Aging concept is essential for underetching, or cavity generation. If the influence of Aging is neglected, the dynamics reduces to a Random Etching Model similar to the Random Deposition model. This computer {\sl gedanken experiment} demonstrates that the stochastic dynamics with ageing-dependent kinetic reaction probabilities accounts for the different etching morphologies compared to those obtained in surface roughening and related systems.}
  }
  
  

2006

• Arne Traulsen and Jens Christian Claussen and Christoph Hauert: Coevolutionary dynamics in large, but finite populations. Physical Review E, no. 74, pp. 011901, 2006
  

  @article{TrClHa06,
  author = {Arne Traulsen and Jens Christian Claussen and Christoph Hauert},
  title = {Coevolutionary dynamics in large, but finite populations},
  journal = {Physical Review E},
  pages = {011901},
  volume = {74},
  year = {2006},
  abstract = {Coevolving and competing species or game-theoretic strategies exhibit rich and complex dynamics for which a general theoretical framework based on finite populations is still lacking. Recently, an explicit mean-field description in the form of a Fokker-Planck equation was derived for frequency-dependent selection with two strategies in finite populations based on microscopic processes [A. Traulsen, J. C. Claussen, and C. Hauert, Phys. Rev. Lett. 95, 238701 (2005)]. Here we generalize this approach in a twofold way: First, we extend the framework to an arbitrary number of strategies and second, we allow for mutations in the evolutionary process. The deterministic limit of infinite population size of the frequency-dependent Moran process yields the adjusted replicator-mutator equation, which describes the combined effect of selection and mutation. For finite populations, we provide an extension taking random drift into account. In the limit of neutral selection, i.e., whenever the process is determined by random drift and mutations, the stationary strategy distribution is derived. This distribution forms the background for the coevolutionary process. In particular, a critical mutation rate uc is obtained separating two scenarios: above uc the population predominantly consists of a mixture of strategies whereas below uc the population tends to be in homogeneous states. For one of the fundamental problems in evolutionary biology, the evolution of cooperation under Darwinian selection, we demonstrate that the analytical framework provides excellent approximations to individual based simulations even for rather small population sizes. This approach complements simulation results and provides a deeper, systematic understanding of coevolutionary dynamics.},
  url = {http://dx.doi.org/10.1103/PhysRevE.74.011901}
  }
  
  

• Jens Christian Claussen and Arne Traulsen: Fluctuations in Coevolutionary Dynamics and Implications for Multi-Agent Models. in Proceedings of: Potentials of Complexity Science for Business, Government and the Media, Collegium Budapest, pp. 411-419, 2006
  

  @inproceedings{ClTr06,
  author = {Jens Christian Claussen and Arne Traulsen},
  title = {Fluctuations in Coevolutionary Dynamics and Implications for Multi-Agent Models},
  editor = {Dirk Helbing},
  booktitle = {Proceedings of: Potentials of Complexity Science for Business, Government and the Media, Collegium Budapest},
  pages = {411--419},
  year = {2006}
  }
  
  

• Thomas Villmann and Jens Christian Claussen: Investigation of Magnification Control in Self-Organizing Maps and Neural Gas. Neural Computation, no. 18, pp. 446-469, 2006
  

  @article{ViCl06,
  author = {Thomas Villmann and Jens Christian Claussen},
  title = {Investigation of {M}agnification {C}ontrol in {S}elf-{O}rganizing {M}aps and {N}eural {G}as},
  journal = {Neural Computation},
  pages = {446--469},
  volume = {18},
  year = {2006},
  abstract = {We consider different ways to control the magnification in self-organizing maps (SOM) and neural gas (NG). Starting from early approaches of magnification control in vector quantization, we then concentrate on different approaches for SOM and NG. We show that three structurally similar approaches can be applied to both algorithms that are localized learning, concave-convex learning, and winner-relaxing learning. Thereby, the approach of concave-convex learning in SOM is extended to a more general description, whereas the concave-convex learning for NG is new. In general, the control mechanisms generate only slightly different behavior comparing both neural algorithms. However, we emphasize that the NG results are valid for any data dimension, whereas in the SOM case, the results hold only for the one-dimensional case.},
  url = {http://dx.doi.org/10.1162/089976606775093918}
  }
  
  

• Fabien Molle and Jens Christian Claussen: Investigation of Topographical Stability of the Concave and Convex Self-Organizing Map Variant. in ICANN 2006, no. 4131, pp. 208-215, Springer, 2006
  

  @inproceedings{MoCl06,
  author = {Fabien Molle and Jens Christian Claussen},
  title = {Investigation of Topographical Stability of the Concave and Convex Self-Organizing Map Variant},
  booktitle = {ICANN 2006},
  series = {Lecture Notes in Computer Science},
  publisher = {Springer},
  volume = {4131},
  pages = {208--215},
  year = {2006},
  url = {http://arxiv.org/abs/cond-mat/0609510},
  url = {http://www.springerlink.com/content/qpl3763627l58601/fulltext.pdf},
  abstract = {We investigate, by a systematic numerical study, the parameter dependence of the stability of the Kohonen Self-Organizing Map and the Zheng and Greenleaf concave and convex learning with respect to different input distributions, input and output dimensions.}
  }
  
  

• Jens Christian Claussen: Processing of Information in Synchroneously Firing Chains in Networks of Neurons. in ICANN 2006, no. 4131, pp. 710-717, Springer, 2006
  

  @inproceedings{Cl06m,
  author = {Jens Christian Claussen},
  title = {Processing of Information in Synchroneously Firing Chains in Networks of Neurons},
  booktitle = {ICANN 2006},
  series = {Lecture Notes in Computer Science},
  publisher = {Springer},
  volume = {4131},
  pages = {710--717},
  year = {2006},
  doi = {http://dx.doi.org/10.1007/11840817_74},
  url = {http://www.springerlink.com/content/x1110p74484m5640/},
  url = {http://www.springerlink.com/content/x1110p74484m5640/fulltext.pdf},
  abstract = {The Abeles model of cortical activity assumes that in absence of stimulation neural activity in zero order can be described by a Poisson process. Here the model is extended to describe information processing by synfire chains within a network of activity uncorrelated to the synfire chain. A quantitative derivation of the transfer function from this concept is given.}
  }
  
  

• Jörg Mayer and Heinz Georg Schuster and Jens Christian Claussen: The role of inhibitory feedback for information processing in thalamocortical circuits. Physical Review E, no. 73, pp. 031908, 2006
  

  @article{MaScCl06,
  author = {J{\"o}rg Mayer and Heinz Georg Schuster and Jens Christian Claussen},
  title = {The role of inhibitory feedback for information processing in thalamocortical circuits},
  journal = {Physical Review E},
  pages = {031908},
  volume = {73},
  year = {2006},
  abstract = {The information transfer in the thalamus is blocked dynamically during sleep, in conjunction with the occurrence of spindle waves. In order to describe the dynamic mechanisms which control the sensory transfer of information, it is necessary to have a qualitative model for the response properties of thalamic neurons. As the theoretical understanding of the mechanism remains incomplete, we analyze two modeling approaches for a recent experiment by Le Masson et al. [Nature (London) 417, 854 (2002)] on the thalamocortical loop. We use a conductance based model in order to motivate an extension of the Hindmarsh-Rose model, which mimics experimental observations of Le Masson et al. Typically, thalamic neurons posses two different firing modes, depending on their membrane potential. At depolarized potentials, the cells fire in a single spike mode and relay synaptic inputs in a one-to-one manner to the cortex. If the cell gets hyperpolarized, T-type calcium currents generate burst-mode firing which leads to a decrease in the spike transfer. In thalamocortical circuits, the cell membrane gets hyperpolarized by recurrent inhibitory feedback loops. In the case of reciprocally coupled excitatory and inhibitory neurons, inhibitory feedback leads to metastable self-sustained oscillations, which mask the incoming input, and thereby reduce the information transfer significantly.},
  url = {http://dx.doi.org/10.1103/PhysRevE.73.031908}
  }
  
  

2005

• Jan Nagler and Jens Christian Claussen: 1?f alpha spectra in elementary cellular automata and fractal signals. Physical Review E, no. 71, pp. 067103, 2005
  

  @article{NaCl05,
  author = {Jan Nagler and Jens Christian Claussen},
  title = {1?f alpha spectra in elementary cellular automata and fractal signals},
  journal = {Physical Review E},
  pages = {067103},
  volume = {71},
  year = {2005},
  abstract = {We systematically compute the power spectra of the one-dimensional elementary cellular automata introduced by Wolfram. On the one hand our analysis reveals that one automaton displays 1?f spectra though considered as trivial, and on the other hand that various automata classified as chaotic or complex display no 1?f spectra. We model the results generalizing the recently investigated Sierpinski signal to a class of fractal signals that are tailored to produce 1?f alpha spectra. From the widespread occurrence of (elementary) cellular automata patterns in chemistry, physics, and computer sciences, there are various candidates to show spectra similar to our results.},
  url = {http://dx.doi.org/10.1103/PhysRevE.71.067103}
  }
  
  

• Arne Traulsen and Jens Christian Claussen and Christoph Hauert: Coevolutionary Dynamics: From Finite to Infinite Populations. Physical Review Letters, no. 95, pp. 238701, 2005
  

  @article{TrClHa05,
  author = {Arne Traulsen and Jens Christian Claussen and Christoph Hauert},
  title = {Coevolutionary {D}ynamics: {F}rom {F}inite to {I}nfinite {P}opulations},
  journal = {Physical Review Letters},
  pages = {238701},
  volume = {95},
  year = {2005},
  abstract = {Traditionally, frequency dependent evolutionary dynamics is described by deterministic replicator dynamics assuming implicitly infinite population sizes. Only recently have stochastic processes been introduced to study evolutionary dynamics in finite populations. However, the relationship between deterministic and stochastic approaches remained unclear. Here we solve this problem by explicitly considering large populations. In particular, we identify different microscopic stochastic processes that lead to the standard or the adjusted replicator dynamics. Moreover, differences on the individual level can lead to qualitatively different dynamics in asymmetric conflicts and, depending on the population size, can even invert the direction of the evolutionary process.},
  url = {http://dx.doi.org/10.1103/PhysRevLett.95.238701}
  }
  
  

• Jens Christian Claussen: Delayed measured systems in Poincare-based chaos control. in Proceedings of ENOC 2005, Eindhoven, pp. 1236-1245, 2005
  

  @inproceedings{Cl05q,
  author = {Jens Christian Claussen},
  title = {Delayed measured systems in Poincare-based chaos control},
  booktitle = {Proceedings of ENOC 2005, Eindhoven},
  year = {2005},
  pages = {1236--1245}
  }
  
  

• R.B. Govindan and Jan Raethjen and F. Kopper and Jens Christian Claussen and G. Deuschl: Estimation of time delay by coherence analysis. Physica A, no. 350, pp. 277-295, 2005
  

  @article{GoRaKoClDe05,
  author = {R.B. Govindan and Jan Raethjen and F. Kopper and Jens Christian Claussen and G. Deuschl},
  title = {Estimation of time delay by coherence analysis},
  journal = {Physica A},
  volume = {350},
  pages = {277--295},
  year = {2005},
  abstract = {Using coherence analysis (which is an extensively used method to study the correlations in frequency domain, between two simultaneously measured signals) we estimate the time delay between two signals. This method is suitable for time delay estimation of narrow band coherence signals for which the conventional methods cannot be reliably applied. We show, by analysing coupled Rössler attractors with a known delay, that the method yields satisfactory results. Then, we apply this method to human pathologic tremor. The delay between simultaneously measured traces of electroencephalogram (EEG) and electromyogram (EMG) data of subjects with essential hand tremor is calculated. We find that there is a delay of 11–27 milli-seconds (ms) between the tremor correlated parts (cortex) of the brain (EEG) and the trembling hand (EMG) which is in agreement with the experimentally observed delay value of 15 ms for the cortico-muscular conduction time. By surrogate analysis we calculate error bars of the estimated delay.},
  url = {http://dx.doi.org/doi:10.1016/j.physa.2004.11.043}
  }
  
  

• Jens Christian Claussen: Generalized Winner-Relaxing Kohonen Feature Maps. Neural Computation, no. 17, pp. 996-1009, 2005
  

  @article{Cl05,
  author = {Jens Christian Claussen},
  title = {Generalized {W}inner-{R}elaxing {K}ohonen {F}eature {M}aps},
  journal = {Neural Computation},
  pages = {996--1009},
  volume = {17},
  year = {2005},
  abstract = {A new family of self-organizing maps, the winner-relaxing Kohonen algorithm, is introduced as a generalization of a variant given by Kohonen in 1991. The magnification behavior is calculated analytically. For the original variant, a magnification exponent of 4/7 is derived; the generalized version allows steering the magnification in the wide range from exponent 1/2 to 1 in the one-dimensional case, thus providing optimal mapping in the sense of information theory. The winner-relaxing algorithm requires minimal extra computations per learning step and is conveniently easy to implement.}
  url = {http://dx.doi.org/10.1162/0899766053491922},
  }
  
  

• Jens Christian Claussen: Influence of the impulse length in Poincare-based chaos control. in Proceedings of ENOC 2005, Eindhoven, pp. 1100-1107, 2005
  

  @inproceedings{Cl05p,
  author = {Jens Christian Claussen},
  title = {Influence of the impulse length in Poincare-based chaos control},
  booktitle = {Proceedings of ENOC 2005, Eindhoven},
  year = {2005},
  pages = {1100--1107}
  }
  
  

• Jens Christian Claussen and Tomas Villmann: Magnification control in winner relaxing neural gas. Neurocomputing, no. 63, pp. 125-137, 2005
  

  @article{ClVi05,
  author = {Jens Christian Claussen and Tomas Villmann},
  title = {Magnification control in winner relaxing neural gas},
  journal = {Neurocomputing},
  volume = {63},
  pages = {125--137},
  year = {2005},
  abstract = {An important goal in neural map learning, which can conveniently be accomplished by magnification control, is to achieve information optimal coding in the sense of information theory. In the present contribution we consider the winner relaxing approach for the neural gas network. Originally, winner relaxing learning is a slight modification of the self-organizing map learning rule that allows for adjustment of the magnification behavior by an a priori chosen control parameter. We transfer this approach to the neural gas algorithm. The magnification exponent can be calculated analytically for arbitrary dimension from a continuum theory, and the entropy of the resulting map is studied numerically confirming the theoretical prediction. The influence of a diagonal term, which can be added without impacting the magnification, is studied numerically. This approach to maps of maximal mutual information is interesting for applications as the winner relaxing term only adds computational cost of same order and is easy to implement. In particular, it is not necessary to estimate the generally unknown data probability density as in other magnification control approaches.},
  url = {http://dx.doi.org/10.1016/j.neucom.2004.01.191}
  }
  
  

2004

• Jens Christian Claussen and Heinz Georg Schuster: Improved control of delayed measured systems. Physical Review E, no. 70, pp. 056225, 2004
  

  @article{ClSc04,
  author = {Jens Christian Claussen and Heinz Georg Schuster},
  title = {Improved control of delayed measured systems},
  journal = {Physical Review E},
  pages = {056225},
  volume = {70},
  year = {2004},
  abstract = {In this paper, we address the question of how the control of delayed measured chaotic systems can be improved. Both unmodified Ott-Grebogi-Yorke control and difference control can be successfully applied only for a certain range of Lyapunov numbers depending on the delay time. We show that this limitation can be overcome by at least two classes of methods, namely, by rhythmic control and by the memory methods of linear predictive logging control and memory difference control.},
  url = {http://dx.doi.org/10.1103/PhysRevE.70.056225}
  }
  
  

• Jens Christian Claussen and Arne Traulsen: Nongaussian fluctuations arising from finite populations: Exact results for the evolutionary Moran process. Physical Review E, no. 70, pp. 056225, 2004
  

  @article{ClTr04,
  author = {Jens Christian Claussen and Arne Traulsen},
  title = {Nongaussian fluctuations arising from finite populations: Exact results for the evolutionary Moran process},
  journal = {Physical Review E},
  pages = {056225},
  volume = {70},
  year = {2004},
  abstract = {The appropriate description of fluctuations within the framework of evolutionary game theory is a fundamental unsolved problem in the case of finite populations. The Moran process recently introduced into this context in Nowak et al., [Nature (London) 428, 646 (2004)] defines a promising standard model of evolutionary game theory in finite populations for which analytical results are accessible. In this paper, we derive the stationary distribution of the Moran process population dynamics for arbitrary 2x2 games for the finite-size case. We show that a nonvanishing background fitness can be transformed to the vanishing case by rescaling the payoff matrix. In contrast to the common approach to mimic finite-size fluctuations by Gaussian distributed noise, the finite-size fluctuations can deviate significantly from a Gaussian distribution.},
  note = {(Rapid Communication)},
  url = {http://dx.doi.org/10.1103/PhysRevE.71.025101}
  }
  
  

• Jens Christian Claussen and Jan Nagler and Heiz Georg Schuster: Sierpinski signal generates 1?f alpha spectra. Physical Review E, no. 70, pp. 032101, 2004
  

  @article{ClNaSc04,
  author = {Jens Christian Claussen and Jan Nagler and Heiz Georg Schuster},
  title = {Sierpinski signal generates 1?f alpha spectra},
  journal = {Physical Review E},
  pages = {032101},
  volume = {70},
  year = {2004},
  abstract = {We investigate the row sum of the binary pattern generated by the Sierpinski automaton: Interpreted as a time series we calculate the power spectrum of this Sierpinski signal analytically and obtain a unique rugged fine structure with underlying power law decay with an exponent of approximately 1.15. Despite the simplicity of the model, it can serve as a model for 1?f alpha spectra in a certain class of experimental and natural systems such as catalytic reactions and mollusc patterns.},
  url = {http://dx.doi.org/10.1103/PhysRevE.70.032101}
  }
  
  

• Arne Traulsen and Jens Christian Claussen: Similarity-based cooperation and spatial segregation. Physical Review E, no. 70, pp. 046128, 2004
  

  @article{TrCl04,
  author = {Arne Traulsen and Jens Christian Claussen},
  title = {Similarity-based cooperation and spatial segregation},
  journal = {Physical Review E},
  pages = {046128},
  volume = {70},
  year = {2004},
  abstract = {We analyze a cooperative game, where the cooperative act is not based on the previous behavior of the coplayer, but on the similarity between the players. This system has been studied in a mean-field description recently [A. Traulsen and H. G. Schuster, Phys. Rev. E 68, 046129 (2003)]. Here, the spatial extension to a two-dimensional lattice is studied, where each player interacts with eight players in a Moore neighborhood. The system shows a strong segregation independent of parameters. The introduction of a local conversion mechanism towards tolerance allows for four-state cycles and the emergence of spiral waves in the spatial game. In the case of asymmetric costs of cooperation a rich variety of complex behavior is observed depending on both cooperation costs. Finally, we study the stabilization of a cooperative fixed point of a forecast rule in the symmetric game, which corresponds to cooperation across segregation borders. This fixed point becomes unstable for high cooperation costs, but can be stabilized by a linear feedback mechanism.},
  url = {http://dx.doi.org/10.1103/PhysRevE.70.046128}
  }
  
  

• Jens Christian Claussen: Stability borders of feedback control of delayed measured systems. Physical Review E, no. 70, pp. 046205, 2004
  

  @article{Cl04,
  author = {Jens Christian Claussen},
  title = {Stability borders of feedback control of delayed measured systems},
  journal = {Physical Review E},
  pages = {046205},
  volume = {70},
  year = {2004},
  abstract = {When stabilization of unstable periodic orbits or fixed points by the method given by Ott, Grebogi, and Yorke (OGY) must be based on a measurement delayed by τ orbit lengths, the performance of unmodified OGY method is expected to decline. For experimental considerations, it is desired to know the range of stability with minimal knowledge of the system. We find that unmodified OGY control fails beyond a maximal Lyapunov number of lambda max=1+(1?tau). In this paper the area of stability is investigated both for OGY control of known fixed points and for difference control of unknown or inaccurately known fixed points. An estimated value of the control gain is given. Finally we outline what extensions must be considered if one wants to stabilize fixed points with Lyapunov numbers above lambda max.},
  url = {http://dx.doi.org/10.1103/PhysRevE.70.046205}
  }
  
  

2003

• Jens Christian Claussen: Control of delayed measured systems and impulse length limitations in difference control. in Proceedings PHSYCON03 vol. 4 (ed. Alexander L. Fradkov) St. Petersburg, pp. 1296-1302, 2003
  

  @inproceedings{Cl03p,
  author = {Jens Christian Claussen},
  title = {Control of delayed measured systems and impulse length limitations in difference control},
  booktitle = {Proceedings PHSYCON03 vol. 4 (ed. Alexander L. Fradkov) St. Petersburg},
  year = {2003},
  pages = {1296--1302}
  }
  
  

• Jens Christian Claussen and Mathias Schlüter and Uwe-Jens Krabbenhöft: Dust Recognition by Two-Scale Variance Analysis and Graded Information Fusion. in Proceedings IFSA 2003, Istanbul, pp. 261-264, 2003
  

  @inproceedings{ClScKr03,
  author = {Jens Christian Claussen and Mathias Schl{\"u}ter and Uwe-Jens Krabbenh{\"o}ft},
  title = {Dust Recognition by Two-Scale Variance Analysis and Graded Information Fusion},
  booktitle = {Proceedings IFSA 2003, Istanbul},
  year = {2003},
  pages = {261--264}
  }
  
  

• Thomas Villmann and Jens Christian Claussen: Investigation of Magnification Control in Self-Organizing Maps and Neural Gas. in Proceedings WSOM 2003 (ed. Yamakawa), pp. 59-64, 2003
  

  @inproceedings{ViCl03,
  author = {Thomas Villmann and Jens Christian Claussen},
  title = {Investigation of {M}agnification {C}ontrol in {S}elf-{O}rganizing {M}aps and {N}eural {G}as},
  booktitle = {Proceedings WSOM 2003 (ed. Yamakawa)},
  year = {2003},
  pages = {59--64}
  }
  
  

• Jens Christian Claussen: Magnification behaviour of Winner Relaxing and Winner-Enhancing Kohonen Feature Maps. in Mathematical Modelling and Computing in Biology and Medicine, (V.Capasso Ed.), The MIRIAM Project Series, Progetto Leonardo, ESCULAPIO Pub. Co., Bologna, Italy, pp. 17-22, 2003
  

  @inproceedings{Cl03m,
  author = {Jens Christian Claussen},
  title = {Magnification behaviour of Winner Relaxing and Winner-Enhancing Kohonen Feature Maps},
  booktitle = {Mathematical Modelling and Computing in Biology and Medicine, (V.Capasso Ed.), The MIRIAM Project Series, Progetto Leonardo, ESCULAPIO Pub. Co., Bologna, Italy},
  year = {2003},
  pages = {17--22}
  }
  
  

• Jens Christian Claussen and Thomas Villmann: Magnification Control in Neural Gas by Winner Relaxing Learning: Independence of a diagonal term.. in Proceedings ICANN 2003, Istanbul, pp. 58-61, 2003
  

  @inproceedings{ClVi03i,
  author = {Jens Christian Claussen and Thomas Villmann},
  title = {Magnification Control in Neural Gas by Winner Relaxing Learning: Independence of a diagonal term.},
  booktitle = {Proceedings ICANN 2003, Istanbul},
  year = {2003},
  pages = {58--61}
  }
  
  

• Jens Christian Claussen and Thomas Villmann: Magnification Control in Winner Relaxing Neural Gas. in Proceedings ESANN 2003 (ed. M. Verleysen), Brugge, pp. 93-98, d-side publications, 2003
  

  @inproceedings{ClVi03e,
  author = {Jens Christian Claussen and Thomas Villmann},
  title = {Magnification Control in Winner Relaxing Neural Gas},
  booktitle = {Proceedings ESANN 2003 (ed. M. Verleysen), Brugge},
  publisher = {d-side publications},
  year = {2003},
  pages = {93--98}
  }
  
  

• Jens Christian Claussen and Jürgen Carstensen and Marc Christophersen and Sergiu Langa and Helmut Föll: Open-Loop Control of Pore Formation in Semiconductor Etching. in Proceedings PHSYCON03 vol. 3 (ed. Alexander L. Fradkov) St. Petersburg, pp. 895-900, 2003
  

  @inproceedings{ClCaChLaFo03p,
  author = {Jens Christian Claussen and J{\"u}rgen Carstensen and Marc Christophersen and Sergiu Langa and Helmut F{\"o}ll},
  title = {Open-Loop Control of Pore Formation in Semiconductor Etching},
  booktitle = {Proceedings PHSYCON03 vol. 3 (ed. Alexander L. Fradkov) St. Petersburg},
  year = {2003},
  pages = {895--900}
  }
  
  

• Jens Christian Claussen and Jürgen Carstensen and Marc Christophersen and Sergiu Langa and Helmut Föll: Self-Organized Formation of Fractal and Regular Pores in Semiconductors. in Lecture Notes in Computational Science and Engineering, no. 32, pp. 00-01, Springer, 2003
  

  @inbook{Cl03lncse,
  author = {Jens Christian Claussen and J{\"u}rgen Carstensen and Marc Christophersen and Sergiu Langa and Helmut F{\"o}ll},
  title = {Self-Organized Formation of Fractal and Regular Pores in Semiconductors},
  note = {(eds. H. Emmerich, B. Nestler, M. Schreckenberg)},
  booktitle = {Lecture Notes in Computational Science and Engineering},
  publisher = {Springer},
  volume = {32},
  pages = {00--01},
  year = {2003}
  }
  
  

• Jens Christian Claussen and Jürgen Carstensen and Marc Christophersen and Serfiu Langa and Helmut Föll: Self-organized pore formation and open-loop control in semiconductor etching. Chaos, no. 13, pp. 217-224, 2003
  

  @article{ClCaChLaFo03,
  author = {Jens Christian Claussen and J{\"u}rgen Carstensen and Marc Christophersen and Serfiu Langa and Helmut F{\"o}ll},
  title = {Self-organized pore formation and open-loop control in semiconductor etching},
  journal = {Chaos},
  pages = {217--224},
  volume = {13},
  year = {2003},
  abstract = {Electrochemical etching of semiconductors, apart from many technical applications, provides an interesting experimental setup for self-organized structure formation capable, e.g., of regular, diameter-modulated, and branching pores. The underlying dynamical processes governing current transfer and structure formation are described by the current burst model: all dissolution processes are assumed to occur inhomogeneously in time and space as a current burst (CB); the properties and interactions between CBs are described by a number of material- and chemistry-dependent ingredients, like passivation and aging of surfaces in different crystallographic orientations, giving a qualitative understanding of resulting pore morphologies. These morphologies cannot be influenced only by the current, by chemical, material and other etching conditions, but also by an open-loop control, triggering the time scale given by the oxide dissolution time. With this method, under conditions where only branching pores occur, the additional signal hinders side pore formation resulting in regular pores with modulated diameter.},
  url = {http://dx.doi.org/10.1063/1.1497835}
  }
  
  

• Jens Christian Claussen: Winner-relaxing and winner-enhancing Kohonen maps: Maximal mutual information from enhancing the winner. Complexity, no. 8, pp. 15-22, 2003
  

  @article{Cl03,
  author = {Jens Christian Claussen},
  title = {Winner-relaxing and winner-enhancing {K}ohonen maps: Maximal mutual information from enhancing the winner},
  journal = {Complexity},
  volume = {8},
  number = {4},
  pages = {15--22},
  year = {2003},
  url = {http://dx.doi.org/10.1002/cplx.10084},
  abstract = {The magnification behavior of a generalized family of self-organizing feature maps, the winner relaxing and winner enhancing Kohonen algorithms is analyzed by the magnification law in the one-dimensional case, which can be obtained analytically. The winner-enhancing case allows to achieve a magnification exponent of one and therefore provides optimal mapping in the sense of information theory. A numerical verification of the magnification law is included, and the ordering behavior is analyzed. Compared to the original self-organizing map and some other approaches, the generalized winner enforcing algorithm requires minimal extra computations per learning step and is conveniently easy to implement.}
  }
  
  

2002

• Jens Christian Claussen and Heinz Georg Schuster: Asymptotic Level Density of the Elastic Net Self-Organizing Feature Map. in ICANN 2002, no. 2415, pp. 939-944, Springer, 2002
  

  @inproceedings{ClSc02,
  author = {Jens Christian Claussen and Heinz Georg Schuster},
  title = {Asymptotic Level Density of the Elastic Net Self-Organizing Feature Map},
  booktitle = {ICANN 2002},
  series = {Lecture Notes in Computer Science},
  publisher = {Springer},
  volume = {2415},
  pages = {939--944},
  year = {2002},
  url = {http://www.springerlink.com/content/1ud5f2ea7du5jgx0/fulltext.pdf},
  abstract = {Whileas the Kohonen Self Organizing Map shows an asymptotic level density following a power law with a magnification exponent 2/3, it would be desired to have an exponent 1 in order to provide optimal mapping in the sense of information theory. In this paper, we study analytically and numerically the magnification behaviour of the Elastic Net algorithm as a model for self-organizing feature maps. In contrast to the Kohonen map the Elastic Net shows no power law, but for onedimensional maps nevertheless the density follows an universal magnification law, i.e. depends on the local stimulus density only and is independent on position and decouples from the stimulus density at other positions.}
  }
  
  

1999

• Jens Christian Claussen and U. Heim and P. Schmucker andH. G. Schuster: Kontrolle von Chaos in räumlich ausgedehnten Systemen. in Technische Anwendungen von Erkenntnissen der Nichtlinearen Dynamik, ed. H. Hoffschulz, VDI Technologiezentrum Physikalische Technologien, Frankfurt, pp. 371-374, 1999
  

  @inproceedings{ClHeScSc99,
  author = {Jens Christian Claussen and U. Heim and P. Schmucker andH. G. Schuster},
  title = {Kontrolle von {C}haos in r{\"a}umlich ausgedehnten {S}ystemen},
  booktitle = {Technische Anwendungen von Erkenntnissen der Nichtlinearen Dynamik, ed. H. Hoffschulz, VDI Technologiezentrum Physikalische Technologien, Frankfurt},
  year = {1999},
  pages = {371--374}
  }
  
  

1998

• Jens Christian Claussen and Thorsten Mausbach and Alexander Piel and Heinz Georg Schuster: Memory difference control of unknown unstable fixed points: Drifting parameter conditions and delayed measurement. Physical Review E, no. 58, pp. 7256-7260, 1998
  

  @article{ClMaPiSc98,
  author = {Jens Christian Claussen and Thorsten Mausbach and Alexander Piel and Heinz Georg Schuster},
  title = {Memory difference control of unknown unstable fixed points: Drifting parameter conditions and delayed measurement},
  journal = {Physical Review E},
  pages = {7256--7260},
  volume = {58},
  year = {1998},
  abstract = {Difference control schemes for controlling unstable fixed points become important if the exact position of the fixed point is unavailable or moving due to drifting parameters. We propose a memory difference control method for stabilization of a priori unknown unstable fixed points by introducing a memory term. If the amplitude of the control applied in the previous time step is added to the present control signal, fixed points with arbitrary Lyapunov numbers can be controlled. This method is also extended to compensate arbitrary time steps of measurement delay. We show that our method stabilizes orbits of the Chua circuit where ordinary difference control fails.},
  url = {http://dx.doi.org/10.1103/PhysRevE.58.7256}
  }
  
  

1992

• J. Schuchhardt and J. C. geb. Gruel Claussen and N. Lüthje and L. Molgedey and G. Radons and H. G. Schuster: Neural Networks for the Classification of Sound Patterns. in Applications of Neural Networks (ed. H.G. Schuster), pp. 192-202, VCH Wiley, 1992
  

  @inbook{ScGrLuMoRaSc92,
  author = {J. Schuchhardt and J. {C}. geb. {G}ruel Claussen and N. L{\"u}thje and L. Molgedey and G. Radons and H. G. Schuster},
  title = {Neural {N}etworks for the {C}lassification of {S}ound {P}atterns},
  note = {(ed. Heinz Georg Schuster)},
  booktitle = {Applications of Neural Networks (ed. H.G. Schuster)},
  publisher = {VCH Wiley},
  pages = {192--202},
  year = {1992}
  }