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DY: Dynamik und Statistische Physik
DY 24: Nonlinear stochastic systems
DY 24.7: Vortrag
Dienstag, 25. März 2003, 16:15–16:30, G\"OR/226
Noise-controlled oscillations and their bifurcations in coupled phase oscillators — •Lutz Schimansky-Geier1,2, Stefan Feistel1, Alexander B. Neiman2, and Mikhail Zaks1 — 1Institut für Physik, Humboldt-Universität zu Berlin — 2Center for Neurodynamics, University of Missouri at St. Louis
We study bifurcations in a system of globally coupled stochastic phase oscillators in terms of cumulant analysis of the mean field fluctuations. We derive dynamical equations which derscribe evolution of cumulants in the Gaussian approximation and perform their detailed bifurcation analysis. We show the existence of three dynamical regimes of the system: (i) stationary, (ii) rotatory and (iii) locally oscillatory (breathing). We show that the noise intensity serves as a control parameter of the system, that is changing noise intensity various dynamical regimes can be selected. Bifurcation analysis of approximate deterministic cumumulant equations is supported by the direct numerical simulations of the original system of coupled stochastic phase oscillators.Moreover, we show that similar regimes can be observed in asystem of globally coupled stochastic FitzHugh-Nagumo elements.