Inertial fractal set and fractal structure of attractors for the Ginzburg-Landau equation

DOI10.1007/BF02683824zbMath0936.37046OpenAlexW2323850814MaRDI QIDQ1299848

Zhengde Dai, Han-Chun Yang

Publication date: 24 May 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02683824

zbMATH Keywords

perturbationsglobal attractorGinzburg-Landau equationexponential attractorfractal structure

Mathematics Subject Classification ID

Attractors (35B41) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Hyperbolic equations and hyperbolic systems (35L99)

Cites Work

• Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
• On the gaps between numbers which are sums of two squares
• Localization and approximation of attractors for the Ginzburg-Landau equation
• On the generation of waves by wind
• Some developments in the theory of vortex breakdown
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