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Chaotic Resonnce: Hopping Rates, Spectra and Signal-to-Noise Ratios.

pdf icon Chaotic Resonnce: Hopping Rates, Spectra and Signal-to-Noise Ratios. (433 K)
Kovaleva, A.; Simiu, E.

Stochastic and Chaotic Dynamics in the Lakes: STOCHAOS. CP502, American Institute of Physics, Broomhead, D. S.; Luchinskaya, E. A.; McClintock, P. V. E.; Mullin, T., Editor(s)(s), 428-433 pp, 2000.


noise (sound); signals; equations


We consider a noise-free bistable system with a low frequency signal and a secondary harmonic excitation that causes the system to experience chaotic motion with a broadband portion of the output spectrum. the signal-to-noise ration (SNR) is defined on the basis of this broadband spectrum. We present the theoretical background for approximate calculation of the hopping rate, the output spectra and SNR of the system. It is shown that, under a proper choice of the secondary excitation, the SNR can be enhanced. This phenomenon is referred to as cho\aotic resonance. We show similarities between results obtained for chaotic resonance on the one hand and classical stochastic resonance induced by random perturbations on the other. As an example, chaotic resonance in the Holmes-Brunsden oscillator is studied.