Dresden 2014 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 10: Nonlinear Stochastic Systems

DY 10.3: Vortrag

Dienstag, 1. April 2014, 10:00–10:15, ZEU 160

Stochastic switching in networks of delay-coupled oscillators — •Otti D'Huys¹, Thomas Juengling², and Wolfgang Kinzel¹ — ¹Institute for Theoretical Physics, University of Wuerzburg, 97074 Wuerzburg, Germany — ²Instituto de Fisica Interdisciplinar y Sistemas Complejos, IFISC (UIB-CSIC), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain

Networks with coupling delays play an important role in various systems, such as coupled semiconductor lasers, traffic dynamics, communication networks, genetic transcription circuits or the brain . In oscillatory systems it is known that a delay induces multistability: the number of coexisting periodic orbits scales linearly with the coupling strength and the delay time.

Adding noise to the dynamics, the network switches between these coexistent orbits. For phase oscillator networks we construct a potential, which allows us to analytically compute the distribution of frequencies visited by the network and the corresponding residence times.

We find some surprising stochastic effects: with increasing delay the frequency distribution narrows, but the residence times are unaffected. With increasing coupling strength, the residence times in each orbit increase, but the number of attended orbits remains the same. Moreover, the network topology plays a crucial role: while in unidirectional rings in-phase and out-of-phase states are equally often attended, the out-of-phase states disappear for sufficiently long delays in most other networks.