On the dimension of attractors for a class of dissipative systems
β Scribed by Iu.S. Il'iashenko; A.N. Chetaev
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 506 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0021-8928
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π SIMILAR VOLUMES
We study the global smooth solution and the global attractor for a dissipative nonlinear evolution system given by strongly coupled parabolic equations.
## Abstract We consider a chemotaxisβgrowth model which takes into account diffusion, chemotaxis, production of chemical substance, and growth. We present estimates from above and below of the fractal dimension dimπ of the exponential attractor π in terms of the coefficients of the system. Comparis
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