Topological invariants and solutions with a high complexity for scalar semilinear PDE

DOI10.1023/A:1026415712425zbMath0984.35081MaRDI QIDQ1592766

Anatoli V. Babin

Publication date: 13 May 2002

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

conserved integer-valued functionalshomotopy classes of functionspersistence of stable oscillatory spatial patternsvariable diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (2)

Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction diffusion systems in \(\mathbb{R}^n\) ⋮ Long-time behavior of solutions and chaos in reaction-diffusion equations

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