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Stochastic resonance in chaotic dynamics

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Abstract

It is suggested that chaotic dynamical systems characterized by intermittent jumps between two preferred regions of phase space display an enhanced sensitivity to weak periodic forcings through a stochastic resonance-like mechanism. This possibility is illustrated by the study of the residence time distribution in two examples of bimodal chaos: the periodically forced Duffing oscillator and a 1-dimensional map showing intermittent behavior.

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References

  1. C. Nicolis,Tellus 34:1 (1982).

    Google Scholar 

  2. R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani,Tellus 34:10 (1982).

    Google Scholar 

  3. B. McNamara and K. Wiesenfeld,Phys. Rev. A 39:4854 (1989).

    Google Scholar 

  4. Gang Hu, C. Nicolis, and G. Nicolis,Phys. Rev. A 42:2030 (1990).

    Google Scholar 

  5. C. Nicolis, G. Nicolis, and Gang Hu,Phys. Lett. A 151:139 (1990).

    Google Scholar 

  6. C. Presilla, F. Marchesoni, and L. Gammaitoni,Phys. Rev. A 40:2105 (1989).

    Google Scholar 

  7. G. Nicolis and C. Nicolis,Phys. Rev. A 38:427 (1988).

    Google Scholar 

  8. G. Nicolis, Y. Piasecki, and D. McKernan, Toward a Probabilistic Description of Deterministic Chaos, inFrom Phase Transitions to Chaos, G. Györgyi et al., eds. (World Scientific, Singapore, 1992).

    Google Scholar 

  9. C. Nicolis and G. Nicolis,Phys. Rev. A 34:2384 (1986).

    Google Scholar 

  10. K. Takeyama,Prog. Theor. Phys. 60:613 (1978).

    Google Scholar 

  11. J. Guckenheimer and Ph. Holmes,Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (Springer, Berlin, 1983).

    Google Scholar 

  12. T. Zhou, F. Moss, and P. Jung,Phys. Rev. A 42:3161 (1990).

    Google Scholar 

  13. D. McKernan and G. Nicolis, Effect of periodic perturbations on an intermittent map, to be published.

  14. A. Lasota and J. Yorke,Trans. Am. Math. Soc. 186:481 (1973).

    Google Scholar 

  15. Y. Pomeau and P. Manneville,Commun. Math. Phys. 74:189 (1980).

    Google Scholar 

  16. L. Fronzoni, M. Giocondo, and M. Pettini,Phys. Rev. A 43:6483 (1991).

    Google Scholar 

  17. Y. Braiman and I. Goldhirsch,Phys. Rev. Lett. 66:2545 (1991).

    Google Scholar 

  18. D. Ray,Phys. Rev. A 42:5975 (1990).

    Google Scholar 

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Nicolis, G., Nicolis, C. & McKernan, D. Stochastic resonance in chaotic dynamics. J Stat Phys 70, 125–139 (1993). https://doi.org/10.1007/BF01053958

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