| Texto completo | |
| Autor(es): |
da Costa, Henrique B.
;
Valero, Jose
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NONLINEAR DYNAMICS; v. 84, n. 1, p. 16-pg., 2016-04-01. |
| Resumo | |
In this paper, we study the dynamical properties inside the global attractor for multivalued semiflows. Given a disjoint finite family of isolated weakly invariant sets, we prove, extending a previous result from the single-valued case, that the existence of a Lyapunov function, the property of being a dynamically gradient semiflow and the existence of a Morse decomposition are equivalent properties. We apply this abstract theorem to a reaction-diffusion inclusion. (AU) | |
| Processo FAPESP: | 11/21456-7 - Continuidade de atratores para sistemas dinâmicos: Domínios ilimitados e espaços uniformemente-locais |
| Beneficiário: | Henrique Barbosa da Costa |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |