Artículos de revistas
Poincaré recurrence theorem for non-smooth vector fields
Fecha
2017-04-01Registro en:
Zeitschrift fur Angewandte Mathematik und Physik, v. 68, n. 2, 2017.
0044-2275
10.1007/s00033-017-0783-y
2-s2.0-85016599336
2-s2.0-85016599336.pdf
Autor
Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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 Poincaré Recurrence Theorem are presented. The results allow us to soften the hypothesis of the classical Poincaré 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.