Poincare recurrence theorem for non-smooth vector fields

Autor(es)

Euzebio, Rodrigo D. ; Gouveia, Marcio R. A.

• Tipo de documento: Artigo Científico
• Fonte: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 68, n. 2 APR 2017.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 13/24541-0 - Teorias ergódica e qualitativa dos sistemas dinâmicos
• Beneficiário: Claudio Aguinaldo Buzzi
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/25828-1 - Conjuntos minimais e variedades invariantes em sistemas suaves por partes
• Beneficiário: Rodrigo Donizete Euzébio
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado