Skip to main content
Log in

Frequency mixing in a bistable system in the presence of noise

  • Solids
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The dynamics of a bistable system resulting from the action of several periodic perturbations and noise is studied. The response of the system at combination harmonics and the changes in the response caused by high-frequency modulation and a constant field that removes the degeneracy in the bistable system are calculated. The mixing of harmonics is investigated experimentally in an iron garnet thin film. It is shown that the higher harmonics exhibit behavior characteristic of stochastic resonance and that the form and symmetry of the dependence of harmonics on the constant field removing the degeneracy can be used to determine the characteristics of a bistable system with respect to its response to external periodic modulation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A: Math. Gen. 14, L453 (1981).

    Article  ADS  MathSciNet  Google Scholar 

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

    ADS  Google Scholar 

  3. S. Fauve and F. Heslot, Phys. Lett. A 97, 5 (1983).

    Article  ADS  Google Scholar 

  4. B. McNamara, K. Wiesenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, and S. Santucci, Phys. Rev. Lett. 62, 349 (1989).

    Article  ADS  Google Scholar 

  7. R. Fox, Phys. Rev. A 39, 4148 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  8. P. Yung and P. Hanggi, Phys. Rev. A 41, 2977 (1990).

    ADS  MathSciNet  Google Scholar 

  9. M. I. Dykman, P. V. E. McClintock, R. Mannella, and N. G. Stocks, JETP Lett. 52, 141 (1990).

    ADS  Google Scholar 

  10. A. N. Grigorenko, V. I. Konov, and P. I. Nikitin, JETP Lett. 52, 593 (1990).

    ADS  Google Scholar 

  11. L. D. Landau and E. M. Lifshitz, Mechanics, 2nd ed., Pergamon Press, Oxford-New York (1969).

    Google Scholar 

  12. A. N. Grigorenko, P. I. Nikitin, A. N. Slavin, and P. Zhou, J. Appl. Phys. 76, 6335 (1994).

    Article  ADS  Google Scholar 

  13. M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Phys. Rev. Lett. 68, 2985 (1992).

    ADS  Google Scholar 

  14. A. N. Grigorenko, P. I. Nikitin, and G. V. Roschepkin, J. Appl. Phys. 79, 6113 (1996).

    Article  ADS  Google Scholar 

  15. L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Lett. 195, 116 (1994).

    Google Scholar 

  16. S. Vohra and L. Fabiny, Phys. Rev. E 50, R2391 (1994).

    Article  ADS  Google Scholar 

  17. R. Bartussek, P. Jung, and P. Hanggi, Phys. Rev. E 49, 3930 (1994).

    Article  ADS  Google Scholar 

  18. V. Shneidman, P. Jung, and P. Hanggi, Phys. Rev. Lett. 72, 2682 (1994).

    Article  ADS  Google Scholar 

  19. P. Jung and P. Talkner, Phys. Rev. E 51, 2640 (1995).

    Article  ADS  Google Scholar 

  20. A. N. Grigorenko, S. A. Mishin, A. M. Prokhorov, and E. G. Rudashevskii, Fiz. Tverd. Tela (Leningrad) 30, 2948 (1988) [Sov. Phys. Solid State 30, 1699 (1988)].

    Google Scholar 

  21. A. N. Grigorenko, S. A. Mishin, and E. G. Rudashevskii, Fiz. Tverd. Tela (Leningrad) 31(8), 107 (1989) [Sov. Phys. Solid State 31, 1337 (1989)].

    Google Scholar 

  22. A. N. Grigorenko, S. A. Mishin, and E. G. Rudashevskii, Pis’ma Zh. Tekh. Fiz. 14, 1722 (1988) [Sov. Tech. Phys. Lett. 14, 749 (1988)].

    Google Scholar 

  23. A. N. Grigorenko, O. A. Larin, S. A. Mishin, and E. G. Rudashevskii, Prib. Tekh. Eksp. (1), 163 (1988).

    Google Scholar 

  24. C. W. Gardiner, Springer Series in Synergetics, Vol. 13: Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences, 2nd. ed., Springer-Verlag, Berlin (1983) [Russ. transl., Mir, Moscow (1986)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Zh. Éksp. Teor. Fiz. 112, 628–642 (August 1997)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grigorenko, A.N., Nikitin, P.I. & Roshchepkin, G.V. Frequency mixing in a bistable system in the presence of noise. J. Exp. Theor. Phys. 85, 343–350 (1997). https://doi.org/10.1134/1.558283

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558283

Keywords

Navigation