Exponential attractor and its fractal dimension for a second order lattice dynamical system

DOI10.1016/j.jmaa.2009.11.003zbMath1192.37107OpenAlexW1979666089MaRDI QIDQ968823

B. E. Eshmatov

Publication date: 10 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.11.003

zbMATH Keywords

approximationglobal attractorfractal dimensionexponential attractorlattice system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (13)

Uniform exponential attractors for second order non-autonomous lattice dynamical systems ⋮ Pullback exponential attractors for second-order lattice system with nonstandard growth condition ⋮ Fractal dimension for fractal structures: A Hausdorff approach ⋮ A survey on fractal dimension for fractal structures ⋮ Uniform Exponential Attractor for Second Order Lattice System with Quasi-Periodic External Forces in Weighted Space ⋮ On the forward dynamical behaviour of nonautonomous lattice dynamical systems ⋮ Fractal dimension for fractal structures: a Hausdorff approach revisited ⋮ Pullback exponential attractors for non-autonomous lattice systems ⋮ Asymptotic Dynamics of Stochastic Lattice Differential Equations: A Review ⋮ Random exponential attractor for second-order nonautonomous stochastic lattice systems with multiplicative white noise ⋮ Random attractor and exponentially stability for the second order nonautonomous retarded lattice systems with multiplicative white noise ⋮ Exponential attractor for lattice system of nonlinear Boussinesq equation ⋮ Pullback exponential attractor for second order nonautonomous lattice system

Cites Work

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

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