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|Title:||Chaotic resonance: Two-state model with chaos-induced escape over potential barrier||Authors:||Chew, L.Y.
|Issue Date:||Sep-2005||Citation:||Chew, L.Y., Ting, C., Lai, C.H. (2005-09). Chaotic resonance: Two-state model with chaos-induced escape over potential barrier. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 72 (3) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.72.036222||Abstract:||We consider the resonant effects of chaotic fluctuations on a strongly damped particle in a bistable potential driven by weak sinusoidal perturbation. We derive analytical expressions of chaos-induced transition rate between the neighboring potential wells based on the inhomogeneous Smoluchowski equation. Our first-order analysis reveals that the transition rate has the form of the Kramers escape rate except for a perturbed prefactor. This modification to the prefactor is found to arise from the statistical asymmetry of the chaotic noise. By means of the two-state model and the chaos-induced transition rate, we arrive at an analytical expression of the signal-to-noise ratio (SNR). Our first-order SNR shows that chaotic resonance can correspond directly to stochastic resonance. © 2005 The American Physical Society.||Source Title:||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics||URI:||http://scholarbank.nus.edu.sg/handle/10635/95950||ISSN:||15393755||DOI:||10.1103/PhysRevE.72.036222|
|Appears in Collections:||Staff Publications|
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