Bifurcation of the state of equilibrium in the system of nonlinear parabolic equations with transformed argument

We consider a system of nonlinear parabolic equations with transformed argument and prove the existence of integral manifolds. We investigate the bifurcation of an invariant torus from the state of equilibrium.

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Datum:1999
Hauptverfasser: Klevchuk, I. I., Клевчук, И. И.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4733
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We consider a system of nonlinear parabolic equations with transformed argument and prove the existence of integral manifolds. We investigate the bifurcation of an invariant torus from the state of equilibrium.