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

B. Lünsmann, C. Kirst, and M. Timme (2017).
Transition to reconstructibility in weakly coupled networks
PLOS ONE 12(10):e0186624. (download file)

B. Schäfer, M. Matthiae, X. Zhang, M. Rohden, M. Timme, and D. Witthaut (2017).
Escape routes, weak links, and desynchronization in fluctuation-driven networks
Phys. Rev. E 95(6):060203. (download file)

D. Manik, M. Rohden, H. Ronellenfitsch, X. Zhang, S. Hallerberg, D. Witthaut, and M. Timme (2017).
Network susceptibilities: Theory and applications
Phys. Rev. E 95(1):012319. (download file)

D. Manik, M. Timme, and D. Witthaut (2017).
Cycle flows and multistability in oscillatory networks
Chaos 27(8):083123. (download file)

D. Witthaut, S. Wimberger, R. Burioni, and M. Timme (2017).
Classical synchronization indicates persistent entanglement in isolated quantum systems
Nature Comm. 8:15829. (download file)

F.S. Neves, M. Voit, and M. Timme (2017).
Noise-constrained switching times for heteroclinic computing
Chaos 27(3):033107. (download file)

H. Vester, S. Hallerberg, M. Timme, and K. Hammerschmidt (2017).
Vocal repertoire of long-finned pilot whales (Globicephala melas) in northern Norway
J. Acoust. Soc. Am. 141(6):4289. (download file)

J. Klinglmayr, C. Bettstetter, M. Timme, and C. Kirst (2017).
Convergence of Self-Organizing Pulse-Coupled Oscillator Synchronization in Dynamic Networks
IEEE Trans. Autom. Control. 66(4). (download file)

M. Nitzan, J.L. Casadiego Bastidas, and M. Timme (2017).
Revealing physical interaction networks from statistics of collective dynamics
Science Advances 3:e1600396. (download file)

M. Rohden, D. Witthaut, M. Timme, and H. Meyer-Ortmanns (2017).
Curing critical links in oscillator networks as power flow models
New J. Phys. 19(1):013002. (download file)

M. Schröder, M. Timme, and D. Witthaut (2017).
A universal order parameter for synchrony in networks of limit cycle oscillators
Chaos 27(7):073119. (download file)

M. Schröder, N. Araújo, D. Sornette, and J. Nagler (2017).
Controlling percolation with limited resources
Phys. Rev. E 96(6):062302. (download file)

N. Sharafi, M. Timme, and S. Hallerberg (2017).
Critical transitions and perturbation growth directions
Phys. Rev. E 96(3):032220. (download file)

A. Tandon, M. Schröder, M. Mannattil, M. Timme, and S. Chakraborty (2016).
Synchronizing noisy nonidentical oscillators by transient uncoupling
Chaos 26(9):094817. (download file)

B. Schäfer, C. Grabow, A. Sabine, K. J, D. Witthaut, and M. Timme (2016).
Taming instabilities in power grid networks by decentralized control
Eur. Phys. J. ST 225(3):569. (download file)

C. Kirst, M. Timme, and D. Battaglia (2016).
Dynamic information routing in complex networks
Nature Comm. 7:11061. (download file)

D. Witthaut, M. Rohden, X. Zhang, S. Hallerberg, and M. Timme (2016).
Critical Links and Nonlocal Rerouting in Complex Supply Networks
Phys. Rev. Lett. 116(13):138701. (download file)

H. Ronellenfitsch, M. Timme, and D. Witthaut (2016).
A Dual Method for Computing Power Transfer Distribution Factors
IEEE Trans. Power Syst. PP(99). (download file)

H. Vester, H. Kurt, M. Timme, and S. Hallerberg (2016).
Quantifying group specificity of animal vocalizations without specific sender information
Phys. Rev. E 93(2):022138. (download file)

M. Schröder, S. Chakraborty, D. Witthaut, J. Nagler, and M. Timme (2016).
Interaction Control to Synchronize Non-synchronizable Networks
Sci. Rep. 6:37142. (download file)

N. Molkenthin, and M. Timme (2016).
Scaling Laws in Spatial Network Formation
Phys. Rev. Lett. 117(16):168301. (download file)

B. Lünsmann (2015).
Reconstruction of Physical Interactions in Stationary Stochastic Network Dynamics
Masters thesis, University Goettingen. (download file)

B. Schäfer, M. Matthiae, M. Timme, and D. Witthaut (2015).
Decentral Smart Grid Control
New J. Phys. 17(1):015002. (download file)

C. Grabow, S. Grosskinsky, J. Kurths, and M. Timme (2015).
Collective relaxation dynamics of small-world networks
Phys. Rev. E 91:052815. (download file)

D. Witthaut, and M. Timme (2015).
Nonlocal effects and countermeasures in cascading failures
Phys. Rev. E 92(3):032809. (download file)

F. Faraci (2015).
The 60th anniversary of the Hodgkin-Huxley model: a critical assessment from a historical and modeller’s viewpoint
Masters thesis, Mathematical Institute of Leiden University. (download file)

F.S. Neves, B.M. Schubert, and R. Erichsen (2015).
Information flow in layered networks of non-monotonic units
J. Stat. Mech. 2015(7):P07022. (download file)

G. Bertella, and H. Vester (2015).
Whale Watching in Norway Caught Between More Traditional Hunting Canons and the Lucrative Promise of Seismic Airguns
Tourism in Marine Environments 11(1):73--77. (download file)

H. Arnoldt, S. Chang, S. Jahnke, B. Urmersbach, H. Taschenberger, and M. Timme (2015).
When Less Is More: Non-monotonic Spike Sequence Processing in Neurons
PLoS Comput. Biol. 11(2):e1004002. (download file)

H. Arnoldt, S.H. Strogatz, and M. Timme (2015).
Toward the Darwinian transition: Switching between distributed and speciated states in a simple model of early life
Phys. Rev. E 92(5):052909. (download file)

J. Casadiego, and M. Timme (2015).
Network Dynamics as an Inverse Problem
In: Mathematical Technology of Networks, edited by Delio Mugnolo. Springer International Publishing, Switzerland, chapter 3, pages 39-48. (download file)

M. Schröder, M. Mannattil, D. Dutta, S. Chakraborty, and M. Timme (2015).
Transient Uncoupling Induces Synchronization
Phys. Rev. Lett. 115:054101. (download file)

M. Timme, L. Kocarev , and D. Witthaut (2015).
Focus on networks, energy and the economy
New J. Phys. 17(11):110201. (download file)

S. Jahnke, M. Timme, and R.M. Memmesheimer (2015).
A Unified Dynamic Model for Learning, Replay, and Sharp-Wave/Ripples
J. Neurosci. 35(49):16236. (download file)

C. Bick, C. Kolodziejski, and M. Timme (2014).
Controlling chaos faster
Chaos 24(3):033138. (download file)

D. Breuer, M. Timme, and R.M. Memmesheimer (2014).
Statistical Physics of Neural Systems with Nonadditive Dendritic Coupling
Phys. Rev. X 4(1):011053. (download file)

D. Manik, D. Witthaut, B. Schäfer, M. Matthiae, A. Sorge, M. Rohden, E. Katifori, and M. Timme (2014).
Supply networks: Instabilities without overload
Eur. Phys. J. Special Topics 223(12):2527-2547. (download file)

D. Witthaut, and M. Timme (2014).
Kuramoto dynamics in Hamiltonian systems
Phys. Rev. E 90(3):032917. (download file)

M. Timme, and J. Casadiego (2014).
Revealing networks from dynamics: an introduction
J. Phys. A: Math. Theor. 47(34):343001. (download file)

S. Jahnke, R.M. Memmesheimer, and M. Timme (2014).
Oscillation-Induced Signal Transmission and Gating in Neural Circuits
PLoS Comput. Biol. 10(12):1003940. (download file)

S. Jahnke, R.M. Memmesheimer, and M. Timme (2014).
Hub-activated signal transmission in complex networks
Phys. Rev. E (Rapid) 89:030701. (download file)

C. Bick, C. Kolodziejski, and M. Timme (2013).
Stalling chaos control accelerates convergence
New J. Phys. 15:063038. (download file)

C. Tetzlaff, C. Kolodziejski, M. Timme, M. Tsodyks, and F. Woergoetter (2013).
Synaptic Scaling Enables Dynamically Distinct Short- and Long-Term Memory Formation
PLoS Comput. Biol. 9:e1003307. (download file)

D. Witthaut, and M. Timme (2013).
Nonlocal failures in complex supply networks by single link additions
Eur. Phys. J. B 86:377. (download file)

H. Vester, and K. Hammerschmidt (2013).
First record of killer whales (Orcinus orca) feeding on Atlantic salmon (Salmo salar) in northern Norway suggest a multi-prey feeding type
Marine Biodiversity Records 6:1-5.

S. Jahnke, R.M. Memmesheimer, and M. Timme (2013).
Propagating Synchrony in Feed-Forward Networks
Frontiers Comput. Neurosci. 7:153. (download file)

B. Altaner, S. Grosskinsky, S. Herminghaus, L. Kathaen, M. Timme, and J. Vollmer (2012).
Network representations of nonequilibrium steady states: Cycle decompositions, symmetries, and dominant paths
Phys. Rev. E 85:041133. (download file)

B. Kriener, L. Anand, and M. Timme (2012).
Complex networks: when random walk dynamics equals synchronization
New. J. Phys. 14:093002 . (download file)

C. Bick, M. Timme, and C. Kolodziejski (2012).
Adapting Predictive Feedback Chaos Control for Optimal Convergence Speed
SIAM J. Appl. Dyn. Syst. 11:1310. (download file)

C. Grabow, S. Grosskinsky, and M. Timme (2012).
Small-World Network Spectra in Mean-Field Theory
Phys. Rev. Lett. 108:218701. (download file)

D. Witthaut, and M. Timme (2012).
Braess's paradox in oscillator networks, desynchronization and power outage
New J. Phys. 14:083036. (download file)

F.S. Neves, and M. Timme (2012).
Computation by Switching in Complex Networks of States
Phys. Rev. Lett. 109:018701. (download file)

H. Arnoldt, M. Timme, and S. Grosskinsky (2012).
Frequency-dependent fitness induces multistability in coevolutionary dynamics
J. Royal Society Interface 77:3387. (download file)

H.F. Jungkunst, A. Bargsten, M. Timme, and S. Glatzel (2012).
Spatial variability of nitrous oxide emissions in an unmanaged old-growth beech forest
J. Plant Nutr. Soil Science 175:739. (download file)

J. Klinglmayr, C. Kirst, C. Bettstetter, and M. Timme (2012).
Guaranteeing global synchronization in networks with stochastic interactions
New J. Phys. 14:073031. (download file)

M. Rohden, A. Sorge, M. Timme, and D. Witthaut (2012).
Self-Organized Synchronization in Decentralized Power Grids
Phys. Rev. Lett. 109:064101. (download file)

R.M. Memmesheimer, and M. Timme (2012).
Non-Additive Coupling Enables Propagation of Synchronous Spiking Activity in Purely Random Networks
PLoS Comput. Biol. 8:e1002384.

S. Jahnke, M. Timme, and R.M. Memmesheimer (2012).
Guiding Synchrony through Random Networks
Phys. Rev. X 2:041016. (download file)

C. Bick, M. Timme, D. Paulikat, D. Rathlef, and P. Ashwin (2011).
Chaos in Symmetric Phase Oscillator Networks
Phys. Rev. Lett. 107(244101). (download file)

C. Grabow, S. Grosskinsky, and M. Timme (2011).
Speed of Complex Network Synchronization
Eur. Phys. J. B 84:613. (download file)

D. Witthaut, F. Trimborn, H. Hennig, G. Kordas, T. Geisel, and S. Wimberger (2011).
Beyond mean-field dynamics in open Bose-Hubbard chains
Phys. Rev. A 83:063608. (download file)

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

H. Kielblock, C. Kirst, and M. Timme (2011).
Breakdown of order preservation in symmetric oscillator networks with pulse-coupling
Chaos 21:025113. (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. Trimborn, D. Witthaut, and H.J. Korsch (2009).
Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase-space approach
Phys. Rev. A 79(1):013608. (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)

A. Sorge (2008).
Heteroclinic bifurcation in pulse-coupled networks: from unstable attractors to complex periodic orbits
Masters thesis, Universität Göttingen.

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. (download file)

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.

M. Timme, T. Geisel, and F. Wolf (2000).
System of unstable attractors induces desynchronization and attractor selection in neural networks with delayed interactions
In: Society for Neuroscience Abstracts, pages 1969.

J. Lin, K. Pawelzik, U. Ernst, and T. Sejnowski (1998).
Irregular synchonous activity in stochastically-coupled networks of integrate-and-fire neurons
Network 9:333–344.