Non-autonomous lattice systems with switching effects and delayed recovery
From MaRDI portal
Publication:2630895
DOI10.1016/j.jde.2016.05.015zbMath1345.34128OpenAlexW2409974741MaRDI QIDQ2630895
Xiaoying Han, Peter E. Kloeden
Publication date: 25 July 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2016.05.015
differential inclusiondifferential equation with delaynon-autonomous lattice dynamical systemset-valued processglobal pullback attractordelayed recovery
Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05) Cell biology (92C37) Functional-differential inclusions (34K09) Lattice functional-differential equations (34K31)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
- Reaction-diffusion equations with a switched-off reaction zone
- Pullback exponential attractors for non-autonomous lattice systems
- Dynamics of systems on infinite lattices
- Asymptotic behavior of non-autonomous lattice systems
- Non-autonomous attractors for integro-differential evolution equations
- Semigroups of linear operators and applications to partial differential equations
- Some threshold results for models of myelinated nerves
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Convex analysis and measurable multifunctions
- Traveling waves in lattice dynamical systems
- The global structure of traveling waves in spatially discrete dynamical systems
- Propagating waves in discrete bistable reaction-diffusion systems
- Infinite-dimensional dynamical systems in mechanics and physics.
- Attractors of reaction diffusion systems on infinite lattices
- Attractors for second order lattice dynamical systems
- Attractors for first-order dissipative lattice dynamical systems
- A discrete convolution model for phase transitions
- Attractors for non-autonomous retarded lattice dynamical systems
- Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
- PEANO'S THEOREM AND ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- Cellular neural networks: theory
- 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
- Pulse Propagation in Discrete Systems of Coupled Excitable Cells
- Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
- Spiral waves on a 2-D array of nonlinear circuits
- Discrete-Time Nonautonomous Dynamical Systems
- Uniform global attractors for first order non-autonomous lattice dynamical systems
- Edge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation
- ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
- Exponential attractors for lattice dynamical systems in weighted spaces