Stochastic resonance in time-delayed bistable systems driven by weak periodic signal

Rui-Hua Shao and Yong Chen

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 6, 977-983

Abstract: We study theoretically a bistable system with time-delayed feedback driven by a weak periodic force. The effective potential function and the steady-state probability density are derived. The delay time and the strength of its feedback can change the shapes of the potential wells. In the adiabatic approximation, the signal-to-noise ratio (SNR) of the system with a weak periodic force is obtained. The time-delayed feedback modulates the magnitude of SNR by changing the shape of the potential and the effective strength of the signal. The maximum of SNR decreases with increasing the feedback intensity ϵ. When ϵ is negative (or positive), the time delay can suppress (or promote) the stochastic resonance phenomenon.

Keywords: Noise; Stochastic resonance; Time delayed; Stochastic process (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:6:p:977-983

DOI: 10.1016/j.physa.2008.12.001

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