A note on the fractal dimension of attractors of dissipative dynamical systems
โ Scribed by V.V. Chepyzhov; A.A. Ilyin
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 103 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Our aim in this note is to construct an exponential attractor of optimal (with respect to the dissipation parameter) fractal dimension for dissipative reaction-diffusion systems without conditions on the growth of the nonlinear term. (~) 2003 Elsevier Science Ltd. All rights reserved.
For a dynamical system on a connected metric space X, the global attractor (when it exists) is connected provided that either the semigroup is time-continuous or X is locally connected. Moreover, there exists an example of a dynamical system on a connected metric space which admits a disconnected gl