Exponential attractor for a first-order dissipative lattice dynamical system

DOI10.1155/2008/354652zbMath1144.37036OpenAlexW2078114891WikidataQ58645954 ScholiaQ58645954MaRDI QIDQ937493

B. E. Eshmatov

Publication date: 15 August 2008

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54465

zbMATH Keywords

fractal dimensionreaction-diffusion equationsexponential attractor

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (7)

Lattice dynamical systems: dissipative mechanism and fractal dimension of global and exponential attractors ⋮ Uniform exponential attractors for first order non-autonomous lattice dynamical systems ⋮ The existence of exponential attractor for discrete Ginzburg-Landau equation ⋮ Pullback exponential attractors for non-autonomous lattice systems ⋮ Asymptotic Dynamics of Second Order Nonautonomous Systems on Infinite Lattices ⋮ Uniform exponential attractor for nonautonomous partly dissipative lattice dynamical system ⋮ Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices

Cites Work

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• Asymptotic behavior of non-autonomous lattice systems
• Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices
• A remark on two constructions of exponential attractors for \(\alpha\)-contractions
• Attractors for first-order dissipative lattice dynamical systems
• Exponential attractors of reaction-diffusion systems in an unbounded domain
• ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS

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