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A note on the fractal dimension of attractors of dissipative dynamical systems

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


The dimension of the global attractor fo
โœ M. Efendiev; A. Miranville ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 309 KB

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.

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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