Skip to main content
SpringerLink
Log in

Cycle-generating bifurcation produced by perturbation of nonlinear terms in a system of evolution equations

  • Numerical Methods and Inverse Problems
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

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. D. H. Sattinger, Topics in Stability and Bifurcation Theory, Lect. Notes Math., vol. 309, Springer, Berlin (1973).

    Google Scholar 

  2. D. H. Sattinger, Six Lectures on Transition to Instability, Lect. Notes. Math., vol. 322, Springer, Berlin (1973).

    Google Scholar 

  3. D. H. Sattinger, Group-Theoretic Methods in Bifurcation Theory, Lect. Notes Math., vol. 762, Springer, Berlin (1979).

    Google Scholar 

  4. A. V. Shobukhov, “Existence of a bifurcation periodic solution in a model of heterogeneous catalysis,” Vestnik Mosk. Univ., ser. 15, No. 1, 39–42 (1992).

    MathSciNet  Google Scholar 

  5. A. V. Shobukhov, “Existence and uniqueness of a bifurcation periodic solution in ‘reaction-diffusion’ systems,” Mat. Modelirovanie,3, No. 3, 70–84 (1991).

    MathSciNet  Google Scholar 

  6. A. V. Shobukhov, “Stability of the bifurcation periodic solution in ‘reaction-diffusion’ systems,” Mat. Modelirovanie,3, No. 6, 22–28 (1991)

    MathSciNet  Google Scholar 

  7. A. V. Shobukhov, “Branching of spatially nonhomogeneous periodic solutions from limiting cycles of autonomous systems perturbed by small diffusion terms,” Diff. Uravn.,28, No. 7, 1208–1217 (1992).

    MathSciNet  Google Scholar 

  8. V. I. Yudovich, Linearization Method in Hydrodynamic Stability Theory [in Russian], Rostov-on-Don (1984).

  9. V. A. Trenogin, “Periodic and transient solutions of abstract ‘reaction-diffusion’ Proc. 6th All-Union Conf. on Qualitative Theory of Differential Equations [in Russian], Novosibirsk (1988), pp. 134–140.

  10. V. A. Trenogin, Functional Analysis [in Russian], Nauka, Moscow (1993).

    Google Scholar 

Download references

Authors
  1. A. V. Shobukhov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Chislennye Metody v Matematicheskoi Fizike, Moscow State University, pp. 16–21, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shobukhov, A.V. Cycle-generating bifurcation produced by perturbation of nonlinear terms in a system of evolution equations. Comput Math Model 10, 221–225 (1999). https://doi.org/10.1007/BF02358941

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02358941

Keywords

Search

Navigation