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

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 c...

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Datum:1998
Hauptverfasser: Kolesov, A. Yu., Mishchenko, E. F., Rozov, N. Kh., Колесов, А. Ю., Мищенко, Е. Ф., Розов, Н. Х.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4969
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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.