Discretisation of global attractors for lattice dynamical systems

DOI10.1007/s10884-019-09770-1zbMath1466.34021OpenAlexW2952786453WikidataQ127714483 ScholiaQ127714483MaRDI QIDQ785384

Xiaoying Han, Peter E. Kloeden, Stefanie Sonner

Publication date: 6 August 2020

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-019-09770-1

zbMATH Keywords

global attractorimplicit Euler schemelattice dynamical systemnumerical attractorupper semicontinuous convergence

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Attractors of solutions to ordinary differential equations (34D45) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Ordinary lattice differential equations (34A33)

Related Items (16)

Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System ⋮ Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems ⋮ Existence and approximation of attractors for nonlinear coupled lattice wave equations ⋮ Mean random attractors of stochastic lattice fractional delay Gray-Scott equations in higher moment product sequence spaces ⋮ Ergodicity and approximations of invariant measures for stochastic lattice systems with Markovian switching ⋮ Hausdorff sub-norm spaces and continuity of random attractors for bi-stochastic g-Navier-Stokes equations with respect to tempered forces ⋮ Upper semi-continuous convergence of attractors for a Hopfield-type lattice model ⋮ Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies ⋮ Existence and congruence of global attractors for damped and forced integrable and nonintegrable discrete nonlinear Schrödinger equations ⋮ Pullback attractors of nonautonomous lattice difference equations ⋮ Numerical attractors and approximations for stochastic or deterministic sine-Gordon lattice equations ⋮ Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence ⋮ Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations ⋮ Periodic solutions in distribution of stochastic lattice differential equations ⋮ Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms ⋮ Attractors of deterministic and random lattice difference equations

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• Cellular neural networks: theory
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations
• Uniform global attractors for first order non-autonomous lattice dynamical systems
• Attractors Under Discretisation
• ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS

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