On the dimension of the global attractor for the damped Sine–Gordon equation

DOI10.1063/1.532039zbMath0879.35140OpenAlexW1987188106MaRDI QIDQ4345164

Shu Zhu, Guan-xiang Wang

Publication date: 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532039

zbMATH Keywords

estimatedamped sine-Gordon equationdimension of the global attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) KdV equations (Korteweg-de Vries equations) (35Q53)

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One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation ⋮ On unique ergodicity in nonlinear stochastic partial differential equations ⋮ Exact solution to an approximate sine-Gordon equation in \((n+1)\)-dimensional space ⋮ Damped sine-Gordon equations with non-homogeneous Dirichlet boundary conditions ⋮ On dimension of the global attractor for damped nonlinear wave equations ⋮ Dimension of the global attractor for discretizations of the damped sine-Gordon equation ⋮ Dimension of kernel sections for damped nonautonomous wave equations with critical exponent ⋮ An approximate sine-Gordon equation and its traveling wave solution in (\(n+1\))-dimensional space ⋮ Dimension of the global attractor for strongly damped nonlinear wave equation ⋮ Attractor and dimension for strongly damped nonlinear wave equation ⋮ ASYMPTOTIC DYNAMICS OF A CLASS OF COUPLED OSCILLATORS DRIVEN BY WHITE NOISES

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