Attractors for second order periodic lattices with nonlinear damping

DOI10.1080/10236190701859211zbMath1171.35339OpenAlexW2115216026MaRDI QIDQ3527709

Jardel Morais Pereira, Gustavo Perla Menzala, Jáuber Cavalcante Oliveira

Publication date: 30 September 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701859211

zbMATH Keywords

Green functionsine-Gordondifferential-difference equationsglobal well posednessFermi-Pasta-Ulamcyclic boundary conditions

Mathematics Subject Classification ID

Attractors (35B41) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (19)

Dynamics of non-autonomous first order lattice systems in weighted spaces ⋮ Attractors for second order lattice systems with almost periodic symbols in weighted spaces ⋮ Random attractor of non-autonomous stochastic Boussinesq lattice system ⋮ Second order non-autonomous lattice systems and their uniform attractors ⋮ Random uniform attractors for first order stochastic non-autonomous lattice systems ⋮ Uniform exponential attractors for first order non-autonomous lattice dynamical systems ⋮ Uniform Exponential Attractor for Second Order Lattice System with Quasi-Periodic External Forces in Weighted Space ⋮ Long-time behavior of non-autonomous FitzHugh-Nagumo lattice systems ⋮ Global attractor for a class of nonlinear lattices ⋮ Attractors for Fitzhugh-Nagumo lattice systems with almost periodic nonlinear parts ⋮ Asymptotic Dynamics of Second Order Nonautonomous Systems on Infinite Lattices ⋮ Dynamics of second order lattice systems with almost periodic nonlinear part ⋮ Attractors for first order lattice systems with almost periodic nonlinear part ⋮ Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity ⋮ New criteria for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity ⋮ Exponential attractor for lattice system of nonlinear Boussinesq equation ⋮ Pullback exponential attractor for second order nonautonomous lattice system ⋮ Attractors of the Klein-Gordon-Schrödinger lattice systems with almost periodic nonlinear part ⋮ Long time dynamics of a multidimensional nonlinear lattice with memory

Cites Work

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• Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation
• Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation
• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
• Liouville integrability of the finite dimensional Hamiltonian systems derived from principal chiral field
• Localized solutions of a nonlinear diatomic lattice

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