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Optimal Transition Rate And Stochastic Resonance In A Bistable System Driven By Power-Law Noise

Author

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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)

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.

Suggested Citation

  • J. F. L. Freitas & M. L. Lyra, 2003. "Optimal Transition Rate And Stochastic Resonance In A Bistable System Driven By Power-Law Noise," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 303-310.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:03:n:s0129183103004486
    DOI: 10.1142/S0129183103004486
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    References listed on IDEAS

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    1. Perez, A.A, 2001. "Comment on “On the multinomial logic model” [Physica A 269 (1999) 9–15]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 606-606.
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