OPTIMAL TRANSITION RATE AND STOCHASTIC RESONANCE IN A BISTABLE SYSTEM DRIVEN BY POWER-LAW NOISE

J. F. L. Freitas and M. L. Lyra
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J. F. L. Freitas: Departamento de Física, Universidade Federal de Alagoas, 57072-970 Maceió - AL, Brazil
M. L. Lyra: Departamento de Física, Universidade Federal de Alagoas, 57072-970 Maceió - AL, Brazil

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 03, 303-310

Abstract: In this work, we study the stochastic resonance phenomenon in a bistable nonlinear dynamical system in the presence of an uncorrelated noise source whose distribution decays asymptotically asP(ξ) ∝ 1/ξ2α. We investigate the influence of the decay exponent α on the transition rate and on the optimal noise intensity giving the maximum signal-to-noise ratio when a weak periodic signal is superposed to the external noise. We find that the transition rate achieves a maximum for a finite decay exponent α. However, the optimal noise intensity for stochastic resonance depicts a monotonic power-law correction relative to the usual behavior of nonlinear dynamical systems driven by Gaussian noises.

Keywords: Stochastic resonance; non-Gaussian noise; nonlinear dynamics; 05.40.Ca; 02.50.Ey; 05.45.Xt (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004486

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