68 citations · 155 across the 7 of their papers we have counts for
7 papers
Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks
Hans Muller Mendonca, Ralf Tönjes, Tiago Pereira
We study the transition to synchronization in large, dense networks of chaotic circle maps, where an exact solution of the mean-field dynamics in the infinite network and all-to-al…
Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise
Ralf Tönjes, Arkady Pikovsky
We study an ensembles of globally coupled or forced identical phase oscillators subject to independent white Cauchy noise. We demonstrate, that if the oscillators are forced in sev…
Complex Rotating Waves and Long Transients in a Ring-Network of Electrochemical Oscillators with Sparse Random Cross-Connections
Michael Sebek, Ralf Tönjes, István Z. Kiss
We perform experiments and phase model simulations with a ring network of oscillatory electrochemical reactions to explore the effect of random connections and non-isochronocity of…
Synchronization of weakly perturbed Markov chain oscillators
R. Toenjes, H. Kori
Rate processes are simple and analytically tractable models for many dynamical systems which switch stochastically between a discrete set of quasi stationary states but they may al…
Synchronization Transition in the Kuramoto Model with Colored Noise
Ralf Toenjes
We present a linear stability analysis of the incoherent state in a system of globally coupled, identical phase oscillators subject to colored noise. In that we succeed to bridge t…
Synchronization Transition of Identical Phase Oscillators in a Directed Small-World Network
Ralf Toenjes, Naoki Masuda, Hiroshi Kori
We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not alwa…
Zipf law in the popularity distribution of chess openings
B. Blasius, R. Toenjes
We perform a quantitative analysis of extensive chess databases and show that the frequencies of opening moves are distributed according to a power-law with an exponent that increa…