343 citations · 5.3k across the 112 of their papers we have counts for
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Small-world spectra in mean field theory
Carsten Grabow, Stefan Grosskinsky, Marc Timme
Collective dynamics on small-world networks emerge in a broad range of systems with their spectra characterizing fundamental asymptotic features. Here we derive analytic mean field…
Self-organized adaptation of a simple neural circuit enables complex robot behaviour
Silke Steingrube, Marc Timme, Florentin Woergoetter +1
Controlling sensori-motor systems in higher animals or complex robots is a challenging combinatorial problem, because many sensory signals need to be simultaneously coordinated int…
Chaos in Symmetric Phase Oscillator Networks
Christian Bick, Marc Timme, Danilo Paulikat +2
Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronizat…
Network representations of non-equilibrium steady states: Cycle decompositions, symmetries and dominant paths
Bernhard Altaner, Jürgen Vollmer, Stefan Grosskinsky +3
Non-equilibrium steady states (NESS) of Markov processes give rise to non-trivial cyclic probability fluxes. Cycle decompositions of the steady state offer an effective description…
Impact of Single Links in Competitive Percolation -- How complex networks grow under competition
Jan Nagler, Anna Levina, Marc Timme
How a complex network is connected crucially impacts its dynamics and function. Percolation, the transition to extensive connectedness upon gradual addition of links, was long beli…