A mathematical framework is introduced to study attractors of discrete, nonautonomous dynamical systems which depend periodically on time. A structure theorem for such attractors is established which says that the attractor of a time-periodic dynamical system is the union of attractors of appropriat
Morse equation of attractors for nonsmooth dynamical systems
โ Scribed by Desheng Li; Ailing Qi
- Book ID
- 118206126
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 234 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
then (P 0 ) has a nontrivial solution. The same result was then obtained by Chang [8], using Morse theory on manifolds with boundary, and Lazer and Solimini [16], by a combination of min max techniques and classical Morse theory. For some article no. DE963254
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