Homoclinic bifurcations and dimension of attractors for damped nonlinear hyperbolic equations
β Scribed by Turaev, Dmitry; Zelik, Sergey
- Book ID
- 120499905
- Publisher
- Institute of Physics
- Year
- 2003
- Tongue
- English
- Weight
- 294 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0951-7715
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π SIMILAR VOLUMES
The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping
A more precise estimate on the dimension of the global attractor for discretization of damped sine-Gordon equation with the periodic boundary condition is obtained. The gained Hauedorif dimension remains small for large damping and is independent of the mesh sizes. (~) 1998 Elsevier Science Ltd. All