The fractal structure of attractor for the generalized Kuramoto-Sivashinsky equations

DOI10.1007/BF02453391zbMath0911.35101OpenAlexW2064512954MaRDI QIDQ1270554

Zhengde Dai, Guoguang Lin, Bo-ling Guo

Publication date: 4 May 1999

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02453391

zbMATH Keywords

attractorperiodic boundary conditionsfractal structuregeneralized Kuramoto-Sivashinski equationsinertial set

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• The algebraic approximation of attractors: The finite dimensional case
• Localization and approximation of attractors for the Ginzburg-Landau equation
• Integral manifolds and inertial manifolds for dissipative partial differential equations

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