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

Published

Author(s)

Emil Simiu, A Kovaleva

Abstract

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.
Citation
Stochastic and Chaotic Dynamics in the Lakes: STOCHAOS. CP502, American Institute of Physics

Keywords

noise (sound), signals, equations

Citation

Simiu, E. and Kovaleva, A. (2000), Chaotic Resonnce: Hopping Rates, Spectra and Signal-to-Noise Ratios., Stochastic and Chaotic Dynamics in the Lakes: STOCHAOS. CP502, American Institute of Physics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=916887 (Accessed June 25, 2024)

Issues

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Created January 1, 2000, Updated February 17, 2017