Skip to main content
SpringerLink
Log in

On synchronization of symmetrically perturbed systems with quadratic nonlinearity

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We establish several synchronization conditions for the dynamics of symmetrically perturbed systems with quadratic nonlinearity.

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

References

  1. J. Schweizer, M. P. Kennedy, M. Hasler, and H. Dedieu, “Synchronization theorem for a chaotic system,”Int. J. Bifurcation Chaos,5, No. 1, 297–302 (1995).

    Article  MATH  Google Scholar 

  2. K. M. Cuomo and A. V. Oppenheim, “Circuit implementation of synchronized chaos with applications to communications,”Phys. Rev. Lett.,71, 65–68 (1993).

    Article  Google Scholar 

  3. M. Jacobson, “Absolutely continuous invariant measures for one-parameter families of one-dimensional maps,”Commun. Math. Phys.,81, No. 1, 39–88 (1981).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Hydrobiology, Ukrainian Academy of Sciences, Kiev

    V. A. Dobrynskii

Authors
  1. V. A. Dobrynskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 11, pp. 1569–1573, November, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dobrynskii, V.A. On synchronization of symmetrically perturbed systems with quadratic nonlinearity. Ukr Math J 51, 1773–1778 (1999). https://doi.org/10.1007/BF02525263

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02525263

Keywords

Search

Navigation