Global attractor for a class of retarded lattice dynamical systems
From MaRDI portal
Publication:486547
DOI10.1016/J.JMAA.2014.12.026zbMath1384.37107OpenAlexW2001394511MaRDI QIDQ486547
Dongfang Li, Lu Zhao, Cheng-Jian Zhang
Publication date: 16 January 2015
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.2014.12.026
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)
Related Items (8)
Well-posedness and dynamics of double time-delayed lattice FitzHugh–Nagumo systems ⋮ Random attractor, invariant measures, and ergodicity of lattice \(p\)-Laplacian equations driven by superlinear noise ⋮ Weak mean attractors of stochastic \(p\)-Laplacian delay lattice systems driven by nonlinear noise ⋮ Pullback attractor for a class of non-autonomous lattice differential equations with delays ⋮ Existence and congruence of global attractors for damped and forced integrable and nonintegrable discrete nonlinear Schrödinger equations ⋮ Unnamed Item ⋮ The attractors for 2nd-order stochastic delay lattice systems ⋮ Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence
Cites Work
- Unnamed Item
- Unnamed Item
- On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
- On the connectedness of attractors for dynamical systems
- Attractors for 2D-Navier-Stokes models with delays
- Dynamics of systems on infinite lattices
- Asymptotic behavior of non-autonomous lattice systems
- Compact uniform attractors for dissipative lattice dynamical systems with delays
- Kernel sections for processes and nonautonomous lattice systems
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- The global structure of traveling waves in spatially discrete dynamical systems
- Attractors for second order lattice dynamical systems
- Dissipativity and exponentially asymptotic stability of the solutions for nonlinear neutral functional-differential equations
- Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
- Compact uniform attractors for dissipative non-autonomous lattice dynamical systems
- Attractors and dimension of dissipative lattice systems
- Compact kernel sections for lattice systems with delays
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- Stability of Traveling Wavefronts for the Discrete Nagumo Equation
- The CNN paradigm
- CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS
- Lifted Lattices, Hyperbolic Structures, and Topological Disorders in Coupled Map Lattices
- PULLBACK AND FORWARD ATTRACTORS FOR A DAMPED WAVE EQUATION WITH DELAYS
- Edge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation
- Attractors of retarded first order lattice systems
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
This page was built for publication: Global attractor for a class of retarded lattice dynamical systems