Dresden 2006 – scientific programme
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DY: Dynamik und Statistische Physik
DY 51: Non-Linear Stochastic Systems
DY 51.2: Talk
Friday, March 31, 2006, 11:45–12:00, H\"UL 186
A stochastic model for noise-free stochastic resonance near a merging crisis — •Thomas Stemler1, Wolfram Just2, and Hartmut Benner1 — 1Institut für Festkörperphysik, TU Darmstadt — 2Department of Mathematics, Queen Mary/University of London, UK
We provide a stochastic model for stochastic multiresonance which is found in dynamical systems exhibiting crisis induced intermittency. The role played by the external noise in conventional stochastic resonance (SR) is replaced by the fast chaotic dynamics of the system. The latter causes a slow jump dynamics between the two intermittent states. The stochastic model is derived following the spirit of the Kramers-Moyal expansion. It can be used to map the deterministic chaotic dynamics to the standard model of SR, i.e. the overdamped motion of a particle in a double-well potential subjected to noise. We applied the method successfully to an electronic Chua-type circuit. The deterministic and stochastic terms of the corresponding Langevin equation were obtained by analysing the time series of the circuit. The dependence of both terms on the control parameter of the intermittent system explains the complexity of the observed resonance phenomenon and introduces a new mechanism for stochastic multiresonance.