Long-time behavior for second order lattice dynamical systems

DOI10.1007/S10440-008-9281-8zbMath1166.37029OpenAlexW2130903598MaRDI QIDQ1016551

Ahmed Y. Abdallah

Publication date: 6 May 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9281-8

zbMATH Keywords

Boussinesq equationglobal attractorupper semicontinuityabsorbing set

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (9)

Attractors for second order lattice systems with almost periodic symbols in weighted spaces ⋮ Second order non-autonomous lattice systems and their uniform attractors ⋮ Unnamed Item ⋮ Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations ⋮ Long-time behavior of non-autonomous FitzHugh-Nagumo lattice systems ⋮ Attractors for Fitzhugh-Nagumo lattice systems with almost periodic nonlinear parts ⋮ Dynamics of second order lattice systems with almost periodic nonlinear part ⋮ Attractors for first order lattice systems with almost periodic nonlinear part ⋮ Exponential attractor for lattice system of nonlinear Boussinesq equation

Cites Work

• Unnamed Item
• Upper semicontinuity of the attractor for a second order lattice dynamical system
• Coupled map lattices: some topological and ergodic properties
• Some threshold results for models of myelinated nerves
• Existence of traveling wavefront solutions for the discrete Nagumo equation
• Traveling waves in lattice dynamical systems
• Propagating waves in discrete bistable reaction-diffusion systems
• Infinite-dimensional dynamical systems in mechanics and physics.
• Attractors for second order lattice dynamical systems
• Attractors for first-order dissipative lattice dynamical systems
• Attractors and approximations for lattice dynamical systems
• Asymptotic behavior of the Klein-Gordon-Schrödinger lattice dynamical systems
• Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation
• Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
• 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
• Global dynamics of 2D boussinesq equations
• Traveling Waves of Bistable Dynamics on a Lattice
• Synchronization in chaotic systems
• ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
• Dynamics of evolutionary equations

This page was built for publication: Long-time behavior for second order lattice dynamical systems