BIFURCATION OF INVARIANT TORI OF PARABOLIC SYSTEMS WITH SMALL DIFFUSION

DOI10.1070/SM1994V078N02ABEH003474zbMath0817.35038OpenAlexW2061556306MaRDI QIDQ4319681

Ju. S. Kolesov

Publication date: 20 February 1995

Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1994v078n02abeh003474

zbMATH Keywords

quasi-periodic solutionsinvariant toriVan der Pol oscillator with diffusion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Bifurcations in context of PDEs (35B32)

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Stability and the limit behavior of the open distributed hypercycle system ⋮ Local bifurcations of running waves of weakly dissipative versions of the Ginzburg-Landau equation and its generalizations ⋮ Autowave processes in continual chains of unidirectionally coupled oscillators ⋮ Unnamed Item ⋮ The attractor problem for nonlinear wave equations in plane domains ⋮ Characteristic features of the dynamics of the Ginzburg-Landau equation in a plane domain ⋮ On the existence of an asymptotically large number of stable dissipative patterns in parabolic systems with small diffusion

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