Invariant tori for a class of nonlinear evolution equations

DOI10.1070/SM2013v204n06ABEH004322zbMath1275.35024OpenAlexW2005033897WikidataQ59448422 ScholiaQ59448422MaRDI QIDQ2848651

A. Yu. Kolesov, N. Kh. Rozov

Publication date: 26 September 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2013v204n06abeh004322

zbMATH Keywords

nonlinear wave equationtelegraph equationinfinite-dimensional degeneracytori of arbitrary finite dimension

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Almost and pseudo-almost periodic solutions to PDEs (35B15) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

Parametric oscillations of nonlinear flutter systems ⋮ Bifurcations of invariant manifolds of the convective Cahn-Hilliard equation

Cites Work

• Method of quasinormal forms in the problem of steady-state conditions for parabolic systems with small diffusion
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• Stability of the autooscillations of the telegraph equation, bifurcating from an equilibrium state
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• BIFURCATION OF SELF-OSCILLATIONS OF NONLINEAR PARABOLIC EQUATIONS WITH SMALL DIFFUSION
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