| Full text | |
| Author(s): |
da Costa, Henrique B.
;
Valero, Jose
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NONLINEAR DYNAMICS; v. 84, n. 1, p. 16-pg., 2016-04-01. |
| Abstract | |
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) | |
| 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 |