Skip to main content
SpringerLink
Log in

Dynamical chaos in a biharmonic field

  • Elementary Particle Physics And Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

We consider dynamical chaos in polarization oscillations in the case of biharmonic field using the Daffing equation. When the nonlinearity is small the Daffing equation can be solved by the perturbation method. The stochasticity criterion is calculated in the general case.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. K. N. Alekseev and G. P. Berman, Zh. Éksp. Teor. Fiz.92, 1985 (1987).

    Google Scholar 

  2. F. M. Izrailev, Phys. Lett. A,125, 250 (1987).

    Google Scholar 

  3. S. Graffi, Phys. Rev. Lett.,59, 255 (1987).

    Google Scholar 

  4. G. P. Berman and F. M. Izrailev, Preprint Inst. Phys., No. 497, Krasnoyarsk (1988).

  5. F. M. Izrailev, Preprint Inst. Nucl. Phys., 88–45, Novosibirsk (1988).

  6. P. V. Flyutin, Zh. Éksp. Teor. Fiz.,94, 63 (1988).

    Google Scholar 

  7. A. M. Samson, Yu. A. Logvin, and S. I. Turovets, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,33, 49 (1990).

    Google Scholar 

  8. D. N. Klyshko, Physical Foundations of Quantum Electronics [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  9. A. H. Nayfeh, Introduction to Perturbation Techniques, Wiley, New York (1981).

    Google Scholar 

  10. V. N. Bogaevskii and A. Ya. Povzner, Algebraic Methods in Nonlinear Perturbation Theory [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  11. J. G. Byatt-Smith, IMA J. Appl. Math.,37, 113 (1986).

    Google Scholar 

  12. S. Wiggins, Phys. Lett. A,124, 138 (1987).

    Google Scholar 

  13. V. K. Mel'nikov, Tr. Mosk, Mat. Obshch.,12, 3 (1963).

    Google Scholar 

  14. A. J. Lichtenburg and M. A. Lieberman, Regular and Stochastic Motion, Springer-Verlag (1983).

  15. N. V. Butenin, Yu. I. Neimark, and N. A. Fufaev, Introduction to the Theory of Nonlinear Vibrations [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  16. F. M. Izrailev, M. I. Rabinovich, and A. D. Ugodnikov, Preprint Inst. Appl. Phys., No. 17, Gorkii (1981).

Download references

Authors
  1. K. N. Yugai
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Omsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizka, No. 7, pp. 99–103, July, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yugai, K.N. Dynamical chaos in a biharmonic field. Russ Phys J 35, 667–671 (1992). https://doi.org/10.1007/BF00559240

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00559240

Keywords

Search

Navigation