Stochastic Resonance in Time-delayed Bistable Systems Driven by Weak Periodic Signal

Details Stochastic Resonance in Time-delayed Bistable Systems Driven by Weak Periodic Signal Stochastic Resonance in Time-delayed Bistable Systems Driven by Weak Periodic Signal

2008-06-03

arxiv.org/abs/0806.0427v2

Physica A 388, 977 (2009)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures. any comment are favored

Scientific paper

10.1016/j.physa.2008.12.001

We study theoretically a bistable systems with time-delayed feedback driven by 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 signal. The maximum of SNR decreases with increasing the feedback intensity $\epsilon$. When $\epsilon$ is negative (or positive), the time delay can suppress (or promote) the stochastic resonance phenomenon.

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