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Chaotic Resonance, Hopping Rates, Spectra and Signal-to-Noise Ratios

Published

Author(s)

A Kovaleva, Emil Simiu

Abstract

We consider a noise-free bistable system with a low frequency signal and a secondary harmonic excitation that causes the systemto experience chaotic motion with a broadband portion of the output spectrum. The signal-to-noise ratio (SNR) is defined on thebasis of this broadband spectrum. We present the theorical background for approximate calculation of the hopping rate, the outputspectra and SNR of the system. It is shown that, under a proper choice of the secondary excitation, the SNR can be enhanced. Thisphenomenon is referred to as chaotic resonance. We show similarities between results obtained for chaotic resonance on the onehand and classical stochastic resonance induced by random perturbations on the other. As an example, chaotic resonance in theHolmes-Brunsden oscillator is studied.
Proceedings Title
Stochastic and Chaotic Dynamics in the Lakes: STOCHAOS | | | AIP
Volume
CP502
Conference Dates
August 1, 1999
Conference Location
Ambleside, 1, UK
Conference Title
AIP Conference Proceedings

Keywords

Building technology, chaotic resonance, hopping rates, signal-to-noise ratio

Citation

Kovaleva, A. and Simiu, E. (2000), Chaotic Resonance, Hopping Rates, Spectra and Signal-to-Noise Ratios, Stochastic and Chaotic Dynamics in the Lakes: STOCHAOS | | | AIP, Ambleside, 1, UK, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=860251 (Accessed February 28, 2024)
Created December 31, 1999, Updated October 12, 2021