Attractors for second-order lattice dynamical systems with damping

DOI10.1063/1.1418719zbMath1059.37063OpenAlexW2037947616MaRDI QIDQ4830685

Shengfan Zhou

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1418719

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (7)

Existence and congruence of global attractors for damped and forced integrable and nonintegrable discrete nonlinear Schrödinger equations ⋮ Existence of random attractors for a class of second-order lattice dynamical systems with Brownian motions ⋮ Exponential attractor and its fractal dimension for a second order lattice dynamical system ⋮ Pullback attractors for a class of nonlinear lattices with delays ⋮ Global attractor for a class of nonlinear lattices ⋮ Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence ⋮ Random attractors for second-order stochastic lattice dynamical systems

Cites Work

• Coupled map lattices: some topological and ergodic properties
• Traveling waves in lattice dynamical systems
• Dimension of the global attractor for strongly damped nonlinear wave equation
• The entropy formula for SRB-measures of lattice dynamical systems
• Collective behavior of coupled map lattices with asymmetrical coupling
• Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
• Lifted Lattices, Hyperbolic Structures, and Topological Disorders in Coupled Map Lattices

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