Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices

DOI10.1016/j.aml.2007.07.016zbMath1138.37048OpenAlexW2085007122MaRDI QIDQ926780

Caidi Zhao, Shengfan Zhou

Publication date: 21 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.016

zbMATH Keywords

global attractorupper semicontinuitySchrödinger equationlattice systemscomplex Ginzburg-Landau equation

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items

Random attractors for stochastic discrete complex Ginzburg–Landau equations with long-range interactions, Random attractors for stochastic discrete complex non-autonomous Ginzburg-Landau equations with multiplicative noise, Upper semicontinuity of attractors for lattice systems under singular perturbations, Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg–Landau equations with time-varying delays in the delay, Dissipative localised structures for the complex discrete Ginzburg-Landau equation, Asymptotic behavior of stochastic complex lattice systems driven by superlinear noise, Limiting dynamics of stochastic complex Ginzburg–Landau lattice systems with long-range interactions in weighted space, Existence and congruence of global attractors for damped and forced integrable and nonintegrable discrete nonlinear Schrödinger equations, The existence of exponential attractor for discrete Ginzburg-Landau equation, ATTRACTORS FOR A LATTICE DYNAMICAL SYSTEM GENERATED BY NON-NEWTONIAN FLUIDS MODELING SUSPENSIONS, Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications, Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence, Pullback attractors of nonautonomous discrete \(p\)-Laplacian complex Ginzburg-Landau equations with fast-varying delays

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