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Type: Artigo
Title: Poincare Recurrence Theorem For Non-smooth Vector Fields
Author: Euzebio
Rodrigo D.; Gouveia
Marcio R. A.
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.
Subject: Non-smooth Vector Fields
Poincare Recurrence Theorem
Invariant Measure
Editor: Springer Basel AG
Rights: fechado
Identifier DOI: 10.1007/s00033-017-0783-y
Date Issue: 2017
Appears in Collections:Unicamp - Artigos e Outros Documentos

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