A theoretical study of the non-linear response of a periodically driven bistable system

SummaryIn this paper, a comprehensive theory for the non-linear response of a periodically driven bistable system is presented. Analytic results for the full spectral response, including the signal-to-noise ratio (SNR), are obtained. In addition, the whole hierarchy of escape time distributions is calculated. Theoretical connection between these distributions and the SNR is made, enabling the SNR to be calculated from the knowledge of a single escape time distribution. The theoretical calculations are compared with the results of analogue simulation.

[1]  Fox,et al.  Stochastic resonance in a double well. , 1989, Physical review. A, General physics.

[2]  Stein,et al.  Giant nonlinearity in the low-frequency response of a fluctuating bistable system. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  Peter Jung,et al.  Periodically driven stochastic systems , 1993 .

[4]  R. L. Stratonovich,et al.  Topics in the theory of random noise , 1967 .

[5]  Frank Moss,et al.  Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance , 1993, Nature.

[6]  Zhou,et al.  Escape-time distributions of a periodically modulated bistable system with noise. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[7]  Zhou,et al.  Analog simulations of stochastic resonance. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[8]  Wiesenfeld,et al.  Theory of stochastic resonance. , 1989, Physical review. A, General physics.

[9]  A. Bulsara,et al.  Stochastic resonance in a single neuron model: theory and analog simulation. , 1991, Journal of theoretical biology.

[10]  Jung,et al.  Weak-noise limit of stochastic resonance. , 1994, Physical review letters.

[11]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .