| Full text | |
| Author(s): |
Euzebio, Rodrigo D.
;
Gouveia, Marcio R. A.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 68, n. 2 APR 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, some ergodic aspects of non-smooth vector fields are studied. More specifically, the concepts of recurrence and invariance of a measure by a flow are discussed, and two versions of the classical Poincare Recurrence Theorem are presented. The results allow us to soften the hypothesis of the classical Poincare Recurrence Theorem by admitting non-smooth multivalued flows. The methods used in order to prove the results involve elements from both measure theory and topology. (AU) | |
| FAPESP's process: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/25828-1 - Minimal sets and invariant manifolds in piecewise smooth systems |
| Grantee: | Rodrigo Donizete Euzébio |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |