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Parametric bufferness in systems of parabolic and hyperbolic equations with small diffusion

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Abstract

We investigate the problem of parametric excitation of oscillations in systems of parabolic and hyperbolic equations with small coefficient of diffusion. We establish the phenomenon of parametric bufferness, i.e., the existence of an arbitrary fixed number of stable periodic solutions for a proper choice of the parameters of equations.

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Authors and Affiliations

  1. Yaroslavl’ University, Yaroslavl’

    A. Yu Kolesov

  2. Mathematical Institute, Russian Academy of Sciences, Moscow

    E. F. Mishchenko

  3. Moscow University, Moscow

    N. Kh Rozov

Authors
  1. A. Yu Kolesov
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  2. E. F. Mishchenko
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  3. N. Kh Rozov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 1, pp. 22–35, January, 1998.

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Kolesov, A.Y., Mishchenko, E.F. & Rozov, N.K. Parametric bufferness in systems of parabolic and hyperbolic equations with small diffusion. Ukr Math J 50, 24–39 (1998). https://doi.org/10.1007/BF02514686

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  • DOI: https://doi.org/10.1007/BF02514686

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