Skip to main content
SpringerLink
Log in

Andronov–Hopf Bifurcations in the Aris–Amundson Model

  • Published:
Doklady Physical Chemistry 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. Slin'ko, M.G., Plenarnye lektsii konferentsii po khimicheskim reaktoram: “Khimreaktor-1”-“Khimreaktor-13” (Plenary Lectures on Chemical Reactors: Khimreaktor-1-Khimreaktor-13), Novosibirsk, 1996.

  2. Aris, R., Analiz protsessov v khimicheskikh reaktorakh (Analysis of Processes in Chemical Reactors), Leningrad: Khimiya, 1967.

    Google Scholar 

  3. Vol'ter, B.V. and Sal'nikov, I.E., Ustoichivost' Rezhimov Raboty Khimicheskikh Reaktorov (Stability of Operating Conditions of Chemical Reactors), Moscow: Khimiya, 1981.

    Google Scholar 

  4. Akramov, T.A., Belonosov, V.S., Zelenyak, T.I., et al., Teor. Osn. Khim. Tekhnol., 2000, vol. 54, no. 3, pp. 295–306.

    Google Scholar 

  5. Bykov, V.I., Volokitin, E.P., and Treskov, S.A., Fyz. Gorenia Vzryva, 1997, vol. 33, no. 3, pp. 61–69.

    Google Scholar 

  6. Sheplev, V.S. and Slin'ko, M.G., Dokl. Akad. Nauk, 1997, vol. 352, no. 6, pp. 781–784.

    Google Scholar 

  7. Bykov, V.I. and Tsybenova, S.B., Dokl. Akad. Nauk, 2000, vol. 374, no. 5, pp. 640–643 [Dokl. Phys. Chem. (Engl. Transl.), vol. 374, nos. 4–6, pp. 196–199].

    Google Scholar 

  8. Tsybenova, S.B., Cand. Sci. (Techn.) Dissertation, Krasnoyarsk: Krasnoyarsk State Technical University, 1999.

    Google Scholar 

  9. Andronov, A.A., Vitt, A.A., and Khaikin, S.E., Teoriya kolebanii (The Oscillation Theory), Moscow: Fizmatgiz, 1959.

    Google Scholar 

  10. Marsden, J. and McCracken, M., The Hopf Bifurcation and Its Application, New York: Springer, 1976. Translated under the title Bifurkatsiya rozhdeniya tsikla i ee prilozhenie, Moscow: Mir, 1980.

    Google Scholar 

  11. Hassard, B., Kazarinoff, N., and Wan, Y., Theory and Application of Hopf Bifurcation, Cambridge: Cambridge Univ. Press, 1981. Translated under the title Teoriya i prilozheniya bifurkatsii rozhdeniya tsikla, Moscow: Mir, 1985.

    Google Scholar 

  12. Kholodniok, M., Klich, A., Kubichek, M., and Marek, M., Metody analiza nelineinykh dinamicheskikh modelei (Methods of Analysis of Nonlinear Dynamical Models), Moscow: Mir, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Computational Modeling, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russia

    V. I. Bykov

  2. Krasnoyarsk State Technical University, ul. Kirenskogo 26, Krasnoyarsk, 660074, Russia

    S. B. Tsybenova

  3. Karpov Research Institute of Physical Chemistry, Russian State Scientific Center, ul. Vorontsovo pole 10, Moscow, 103064, Russia

    M. G. Slin'ko

Authors
  1. V. I. Bykov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. B. Tsybenova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. G. Slin'ko
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bykov, V.I., Tsybenova, S.B. & Slin'ko, M.G. Andronov–Hopf Bifurcations in the Aris–Amundson Model. Doklady Physical Chemistry 378, 134–137 (2001). https://doi.org/10.1023/A:1019251012744

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1019251012744

Search

Navigation