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