Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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Selected publications of the group: Network Dynamics Group

F. van Bussel, B. Kriener, and M. Timme (2011).
Inferring synaptic connectivity from spatio-temporal spike patterns
Frontiers Comput. Neurosci. 5:3. (download file)

J. Nagler, A. Levina, and M. Timme (2011).
Impact of single links in competitive percolation
Nature Physics 7:265. (download file)

S. Gorur Shandilya, and M. Timme (2011).
Inferring network topology from complex dynamics
New J. Phys. 13:013004. (download file)

T. Niewalda, T. Völler, C. Eschbach, . Ehmer, W. Chou, M. Timme, A. Fiala, and B. Gerber (2011).
A Combined Perceptual, Physico-Chemical, and Imaging Approach to ‘Odour-Distances’ Suggests a Categorizing Function of the Drosophila Antennal Lobe
PLoS ONE. (download file)

C. Grabow, S. Hill, S. Grosskinsky, and M. Timme (2010).
Do small worlds synchronize fastest?
Europhys. Lett. 90:48002. (download file)

C. Kirst, and M. Timme (2010).
Partial Reset in Pulse-coupled Oscillators
SIAM J. Appl. Math. 70:2119--2149. (download file)

C. Olavarría, J. Acevedo, and H. Vester (2010).
Southernmost Distribution of Common Bottlenose Dolphins (Tursiops truncatus) in the Eastern South Pacific
Aquatic Mammals 36:288. (download file)

F. van Bussel, C. Ehrlich, D. Fliegner, S. Stolzenberg, and M. Timme (2010).
Chromatic polynomials of random graphs
J. Phys. A: Math. Theor. 43:175002. (download file)

H. Vester, and M. Timme (2010).
Call for cooperation to contain damage by Chile’s salmon farms
Nature 465:869. (download file)

R.M. Memmesheimer, and M. Timme (2010).
Stable and unstable periodic orbits in complex networks of spiking neurons with delays
Discr. Cont. Dyn. Syst. 28:1555 - 1588. (download file)

R.M. Memmesheimer, and M. Timme (2010).
Synchrony and Precise Timing in Complex Neural Networks
In: Handbook on Biological Networks, edited by Stefano Boccaletti, Vito Latora and Yamir Moreno. World Scientific, Singapore, chapter 13, pages 279-304. (download file)

S. Steingrube, M. Timme, F. Wörgötter, and P. Manoonpong (2010).
Self-organized adaptation of a simple neural circuit enables complex robot behaviour
Nature Physics 6:224-230. (download file)

B. Kriener, M. Helias, A. Aertsen, and S. Rotter (2009).
Correlations in spiking neuronal networks with distance dependent connections
Journal of Computational Neuroscience 27:177--200. (download file)

C. Bick, and M. Rabinovich (2009).
Dynamical Origin of the Effective Storage Capacity in the Brain’s Working Memory
Phys. Rev. Lett. 103:218101. (download file)

C. Kirst, and M. Timme (2009).
How precise is the timing of action potentials?
Frontiers in Neurosci. 3:2. (download file)

C. Kirst, T. Geisel, and M. Timme (2009).
Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset
Phys. Rev. Lett. 102:068101. (download file)

D. Witthaut, F. Trimborn, and S. Wimberger (2009).
Dissipation-induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate
Phys. Rev. A 79(3):033621. (download file)

D. Witthaut, K. Rapedius, and H.J. Korsch (2009).
The nonlinear Schröder equation for the delta-comb potential: quasi-classical chaos and bifurcations of periodic stationary solutions
J. Nonlin. Math. Phys. 16(2):207. (download file)

F.S. Neves, and M. Timme (2009).
Controlled perturbation-induced switching in pulse-coupled oscillator networks
J. Phys. A: Math. Theor. 42:345103. (download file)

J. Klingmayr, C. Bettstetter, and M. Timme (2009).
Globally Stable Synchronization by Inhibitory Pulse Coupling
Proc. IEEE Intern. Symp. Appl. Sci. in Biomedical and Communication Technologies (ISABEL), Bratislava, Slovak Republic. (download file)

M. Timme, F. van Bussel, D. Fliegner, and S. Stolzenberg (2009).
Counting Complex Disordered States by Efficient Pattern Matching: Chromatic Polynomials and Potts Partition Functions
New J. Phys. 11:023001. (download file)

S. Jahnke, R.M. Memmesheimer, and M. Timme (2009).
How chaotic is the balanced State?
Frontiers Comput. Neurosci. 3:13. (download file)

C. Kirst, and M. Timme (2008).
From networks of unstable attractors to heteroclinic switching
Phys. Rev. E (Rapid Communication) 78:065201. (download file)

C. Kolodziejski, and F. Wörgötter (2008).
On the plasticity of many synapse systems
In: Frontiers in Computational Neuroscience. Conference Abstract: Bernstein Symposium 2008. Frontiers.

D. Kozen, and M. Timme (2008).
Indefinite Summation and the Kronecker Delta
Technical Report, Cornell University.

M. Timme, and F. Wolf (2008).
The simplest problem in the collective dynamics of neural networks: is synchrony stable?
Nonlinearity 21:1579-1599. (download file)

S. Jahnke, R.M. Memmesheimer, and M. Timme (2008).
Stable Irregular Dynamics in Complex Neural Networks
Phys. Rev. Lett. 100:048102. (download file)

M. Denker, S. Roux, M. Timme, A. Riehle, and S. Grün (2007).
Phase synchronization between LFP and spiking activity in motor cortex during movement preparation
Neurocomputing 70:2096–2101.

M. Timme (2007).
Revealing Network Connectivity from Response Dynamics
Phys. Rev. Lett. 98(22):224101.

M. Timme (2006).
Does Dynamics Reflect Topology in Directed Networks?
Europhys. Lett. 76:367-373.

M. Timme, T. Geisel, and F. Wolf (2006).
Speed of synchronization in complex networks of neural oscillators: Analytic results based on Random Matrix Theory
Chaos 16:015108.

R.-. Memmesheimer, and M. Timme (2006).
Designing the Dynamics of Spiking Neural Networks
Phys. Rev. Lett. 97:188101.

R.M. Memmesheimer, and M. Timme (2006).
Designing complex networks
Physica D 224:182-201.

P. Ashwin, and M. Timme (2005).
Unstable attractors: existence and robustness in networks of oscillators with delayed pulse coupling
Nonlinearity 18:2035-2060.

P. Ashwin, and M. Timme (2005).
When instability makes sense
Nature 436:36-37.

A. Zumdieck, M. Timme, T. Geisel, and F. Wolf (2004).
Long Chaotic Transients in Complex Networks
Phys. Rev. Lett. 93:244103.

H. Vester, L.P. Folkow, and A.S. Blix (2004).
Click sounds produced by cod (Gadus morhua)
J. Acoust. Soc. Am. 115:914. (download file)

M. Denker, M. Timme, M. Diesmann, F. Wolf, and T. Geisel (2004).
Breaking Synchrony by Heterogeneity in Complex Networks
Phys. Rev. Lett. 92:074103.

M. Timme, F. Wolf, and T. Geisel (2004).
Topological Speed Limits to Network Synchronization
Phys. Rev. Lett. 92:074101.

M. Timme, F. Wolf, and T. Geisel (2003).
Unstable attractors induce perpetual synchronization and desynchronization
Chaos 13:377–387.

M. Timme, F. Wolf, and T. Geisel (2002).
Coexistence of Regular and Irregular Dynamics in Complex Networks of Pulse-Coupled Oscillators
Phys. Rev. Lett. 89:258701.

M. Timme, F. Wolf, and T. Geisel (2002).
Prevalence of Unstable Attractors in Networks of Pulse-Coupled Oscillators
Phys. Rev. Lett. 89(15):154105.

S. Großkinsky, M. Timme, and B. Naundorf (2002).
Universal Attractors of Reversible Aggregate-Reorganization Processes
Phys. Rev. Lett. 88(24):245501.

M. Timme, F. Wolf, and T. Geisel (2001).
Complex networks of pulse-coupled oscillators: Exact stability analysis of synchronous states
In: WE-Heraeus Seminar "Synchronization in Physics and Neuroscience".

M. Timme, F. Wolf, and T. Geisel (2001).
Unstable attractors in networks of biological oscillators
In: European Dynamics Days 2001 - Book of Abstracts, pages 51-52.

M. Timme, F. Wolf, and T. Geisel (2001).
Unstable attractors in networks of pulse-coupled oscillators
In: Europhysics Conference Abstracts, pages 20.

M. Timme, F. Wolf, and T. Geisel (2001).
Unstable synchronization and switching among unstable attractors in spiking neural networks
In: 265. WE-Heraeus Seminar "Synchronization in Physics and Neuroscience".

M. Timme, T. Geisel, and F. Wolf (2001).
Synchronization and Desynchronization in Neural Networks with General Connectivity
In: Soc. Neurosci. Abstr., pages 821.

M. Timme, T. Geisel, and F. Wolf (2000).
Unstable synchronization in networks of integrate-and-fire neurons
In: European Journal of Neuroscience, pages 194.