Regensburg 2004 – scientific programme
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DY: Dynamik und Statistische Physik
DY 36: Nonlinear Dynamics and Chaos II
DY 36.2: Talk
Wednesday, March 10, 2004, 16:45–17:00, H2
Noise-Induced Crisis in a Electronic Circuit — •Thomas Stemler, Johannes Werner, and Hartmut Benner — Institut für Festkörperphysik, TU Darmstadt
We report the experimental observation of noise-induced crises in a Chua-type nonlinear electronic oscillator. Here, the merging of two precritical sub-attractors is induced by noise and results in chaos-chaos intermittency. We analyse the influence of different kinds of noise, e.g. white Gaussian noise and coloured noise, on the system dynamics. Close to a critical control parameter Rc a merging crisis occurs which can be characterized by the mean residence time τ on each sub-attractor. This characteristic time is expected to scale like[1]: τ ∼ σ−γ g ( (Rc−R)(σ) ) where σ is the noise strength, γ the critical exponent of the crisis in the absence of noise, and g(·) is a nonuniversal function depending on the kind of noise. Our data, which are in very good agreement with the predicted scaling, support the detailed understanding of related aperiodic stochastic resonance experiments in this system.
[1] J.C. Sommerer, E. Ott, C. Grebogi Phys. Rev. A 43, 1754 (1991)