Artículos de revistas
Poincare Recurrence Theorem For Non-smooth Vector Fields
Registro en:
Zeitschrifh Fur Angewandte Mathematik Und Physik. Springer Basel Ag , v. 68, p. , 2017.
0044-2275
1420-9039
WOS:000400304100012
10.1007/s00033-017-0783-y
Autor
Euzebio
Rodrigo D.; Gouveia
Marcio R. A.
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) 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. 68 2 Sao Paulo Research Foundation (FAPESP) [2013/25828-1, 2013/24541-0] Pronex/FAPEG/CNPq [2012 10 26 7000 803] PROCAD-CAPES [88881.068462/2014-01] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)