Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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Structure, Dynamics and Function of Complex Networks



Contact:  Marc Timme 

Members working within this Project:

 Hauke Hähne 
 Marc Timme 
 José Luis Casadiego Bastidas 
 Rainer Engelken 
 Arke Vogell 

Former Members:

 Raoul Martin Memmesheimer 
 Carsten Grabow 
 Christoph Kirst 
 Frank van Bussel 
 Michael Monteforte 
 Birgit Kriener 
 Hinrich Arnoldt 
 Andreas Sorge 

Selected Publications:

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

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

J. Klinglmayr, C. Bettstetter, M. Timme, and C. Kirst (2016).
Convergence of Self-Organizing Pulse-Coupled Oscillator Synchronization in Dynamic Networks
IEEE Trans. Autom. Control. PP(99). 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

M. Schröder, W. Chen, and J. Nagler (2016).
Discrete scale invariance in supercritical percolation
New J. Phys. 18(1):013042. download file

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

A. Sorge, D. Manik, S. Herminghaus, and M. Timme (2015).
Towards a Unifying Framework for Demand-driven Directed Transport (D3T)
In: Proc. Winter Sim. Conf. 2015. IEEE Press, Piscataway, pages 2800--2811. download file

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

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

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

R. D'Souza, and J. Nagler (2015).
Anomalous critical and supercritical phenomena in explosive percolation
Nature Phys. 11:531. 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

M. Wibral, J.T. Lizier, S. Vögler, V. Priesemann, and R. Galuske (2014).
Local active information storage as a tool to understand distributed neural information processing
Frontiers in Neuroinformatics.

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

W. Chen, M. Schröder, R. D’Souza, D. Sornette, and J. Nagler (2014).
Microtransition Cascades to Percolation
Phys. Rev. Lett. 112(15):155701. download file

C.M. Schneider, V. Belik, T. Couronné, Z. Smoreda, and M.C. González (2013).
Unravelling daily human mobility motifs
J. R. Soc. Interface 10(84):20130246.

B. Kriener (2012).
How synaptic weights determine stability of synchrony in networks of pulse-coupled excitatory and inhibitory oscillators
Chaos 22(3):033143. 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

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

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

W. Keil, M. Kaschube, M. Schnabel, Z.F. Kisvárday, S. Löwel, D.M. Coppola, L.E. White, and F. Wolf (2012).
Response to Comment on "Universality in the Evolution of Orientation Columns in the Visual Cortex"
Science 336(6080):413. 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

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

M. Monteforte (2011).
Chaotic Dynamics in Networks of Spiking Neurons in the Balanced State
Phd thesis, Georg-August-University Goettingen. download file

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

W. Keil, and F. Wolf (2011).
Coverage, continuity and visual cortical architecture
Neural Systems and Circuits 1(17):doi:10.1186/2042-1001-1-17. download file

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

M. Monteforte, and F. Wolf (2010).
Dynamical Entropy Production in Spiking Neuron Networks in the Balanced State
Phys. Rev. Lett. 105(26):268104. 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

A.Y. Shahverdian (2009).
A Decomposition of Quasi-Oscillators
Asian-European Journal of Mathematics 2(4):681--705. 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

D. Battaglia (2009).
Neuron-less Neural-like Networks with Exponential Association Capacity at Tabula Rasa
In: Methods and Models in Artificial and Natural Computation, vol. 1 (IWINAC 2009), edited by J. Mira, J.M Ferrandez, J. R. Alvarez et al.. Springer-Verlag, Berlin-Heidelberg, pages 184-194. download file

B. Kriener, T. Tetzlaff, A. Aertsen, M. Diesmann, and S. Rotter (2008).
Correlations and Population Dynamics in Cortical Networks
Neural Computation 20:2185--2226.

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.

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.