Skip to main content
Log in

Stabilization of unstable stationary points in equations with delayed argument

  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

We solve the problem of localization and stabilization of an unstable stationary point of a nonlinear system of ordinary differential equations (ODE) with a delayed argument for parameter values when the ODE system has chaotic dynamics.

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. L. A. Magnitskii, “Stabilization of fixed points of chaotic dynamical systems”,Dokl. Rus. Akad. Nauk,352, No. 5, 610–612 (1997).

    MATH  MathSciNet  Google Scholar 

  2. É. Pinni,Ordinary Differential-Difference Equations [Russian translation], Izd. Inostr. Lit., Moscow (1961).

    Google Scholar 

  3. L. É. Él'sgol'ts,An Introduction to the Theory of Differential Equations with Deviating Argument [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  4. M. Mackey and L. Glass, “Oscillations and chaos in physiological control systems,”Science,197, 287–289 (1997).

    Google Scholar 

  5. B. Hassard, N. Kazarinov, and I. Van,Theory and Application of Wiener-Hopf Bifurcation [Russian translation], Mir, Moscow (1985).

    Google Scholar 

Download references

Authors

Additional information

Translated from Nelineinaya Dinamika i Upravlenie, pp. 133–141, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knyazev, E.A., Magnitskii, N.A. & Sidorov, S.V. Stabilization of unstable stationary points in equations with delayed argument. Comput Math Model 11, 164–169 (2000). https://doi.org/10.1007/BF02359183

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02359183

Keywords

Navigation