Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Posters I

DY 22.47: Poster

Wednesday, March 28, 2012, 17:00–19:00, Poster A

Mean-field approach to coherence resonance in a coupled oscillator systems — •Paul Geffert, Valentin Flunkert, and Eckehard Schöll — Technische Universität Berlin, Germany

Many nonlinear systems exhibit noise-induced oscillations, when driven by a stochastic force. Coherence resonance – the optimal coherence of oscillations at a certain noise strength – is ubiquitous in these systems and has important applications.

We discuss coherence resonance in a generic Hopf normal form model inspired by a laser system. By applying a mean field approximation, we obtain analytic expressions for the correlation time and the signal to noise ratio. Using the same tools, we discuss noise induced oscillations of two coupled Hopf normal form systems.

We find that with a low noise intensity in one system it is possible to control the correlation time and the full width at half maximum only with the noise from the coupled oscillator.