Attractor and dimension for discretization of a damped wave equation with periodic nonlinearity

DOI10.12775/TMNA.2000.020zbMath0988.37094OpenAlexW2548669339MaRDI QIDQ1590111

Shengfan Zhou

Publication date: 14 July 2002

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2000.020

zbMATH Keywords

global attractorHausdorff dimensionperiodic boundary conditionsdamped wave equationperiodic nonlinearity

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Periodic solutions to PDEs (35B10) Wave equation (35L05)

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Structure of the global attractor for a second order strongly damped lattice system ⋮ Singular elliptic problems with lack of compactness ⋮ Asymptotic synchronization in n-dimensional dissipative lattices of coupled oscillators with Nuemann boundary condition ⋮ Existence of solutions for a nonlinear algebraic system ⋮ ASYMPTOTIC DYNAMICS OF A CLASS OF COUPLED OSCILLATORS DRIVEN BY WHITE NOISES

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