343 citations · 630 across the 7 of their papers we have counts for
13 papers
Counting Complex Disordered States by Efficient Pattern Matching: Chromatic Polynomials and Potts Partition Functions
Marc Timme, Frank van Bussel, Denny Fliegner +1
Counting problems, determining the number of possible states of a large system under certain constraints, play an important role in many areas of science. They naturally arise for…
The simplest problem in the collective dynamics of neural networks: Is synchrony stable?
Marc Timme, Fred Wolf
For spiking neural networks we consider the stability problem of global synchrony, arguably the simplest non-trivial collective dynamics in such networks. We find that even this si…
Bifurcation From Networks of Unstable Attractors to Heteroclinic Switching
Christoph Kirst, Marc Timme
We present a dynamical system that naturally exhibits two unstable attractors that are completely enclosed by each others basin volume. This counter-intuitive phenomenon occurs in…
Stable Irregular Dynamics in Complex Neural Networks
Sven Jahnke, Raoul-Martin Memmesheimer, Marc Timme
For infinitely large sparse networks of spiking neurons mean field theory shows that a balanced state of highly irregular activity arises under various conditions. Here we analytic…
Revealing Network Connectivity From Dynamics
Marc Timme
We present a method to infer network connectivity from collective dynamics in networks of synchronizing phase oscillators. We study the long-term stationary response to temporally…
Does dynamics reflect topology in directed networks?
Marc Timme
We present and analyze a topologically induced transition from ordered, synchronized to disordered dynamics in directed networks of oscillators. The analysis reveals where in the s…