Dimension of the global attractor for the discretized damped sine-Gordon equation

DOI10.1016/S0096-3003(99)00179-4zbMath1026.37065OpenAlexW1963689776MaRDI QIDQ5931689

Guan-xiang Wang, Shu Zhu

Publication date: 25 April 2001

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00179-4

zbMATH Keywords

global attractorHausdorff dimensiondiscretized damped sine-Gordon equation

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Second-order nonlinear hyperbolic equations (35L70)

Related Items (6)

Structure of the global attractor for a second order strongly damped lattice system ⋮ Numerical attractors and approximations for stochastic or deterministic sine-Gordon lattice equations ⋮ Exact solution to an approximate sine-Gordon equation in \((n+1)\)-dimensional space ⋮ One-dimensional attractor for a strongly damped lattice system ⋮ An approximate sine-Gordon equation and its traveling wave solution in (\(n+1\))-dimensional space ⋮ Existence of solutions for a nonlinear algebraic system

Cites Work

• Unnamed Item
• Attractors for damped nonlinear hyperbolic equations
• Dimensions of attractors for discretizations for Navier-Stokes equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Determining nodes, finite difference schemes and inertial manifolds
• Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation

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