Braids, configuration spaces and applications to multivalued maps
Dimension of the attractors associated to autonomous and nonautonomous dynamical s...
Set-theoretic topological methods on operators on Banach spaces of the form C(K)
| Full text | |
| Author(s): |
da Costa, Henrique B.
;
Valero, Jose
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Set-Valued and Variational Analysis; v. 25, n. 1, p. 25-41, MAR 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
In this paper we study the theory of Morse decompositions with an infinite number of components in the multivalued framework, proving that for a disjoint infinite family of weakly invariant sets (being all isolated but one) a Lyapunov function ordering them exists if and only if the multivalued semiflow is dynamically gradient. Moreover, these properties are equivalent to the existence of a Morse decomposition. This theorem is applied to a reaction-diffusion inclusion with an infinite number of equilibria. (AU) | |
| FAPESP's process: | 11/21456-7 - Continuity of attractors for dynamical systems: Unbounded domains and uniformly-local spaces. |
| Grantee: | Henrique Barbosa da Costa |
| Support Opportunities: | Scholarships in Brazil - Doctorate |