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Poincaré recurrence theorem for non-smooth vector fields
(2017-04-01)
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 ...
THE POINCARE-BENDIXSON THEOREM ON THE KLEIN BOTTLE FOR CONTINUOUS VECTOR FIELDS
(AMER INST MATHEMATICAL SCIENCES, 2009)
We present a version of the Poincare-Bendixson Theorem on the Klein bottle K(2) for continuous vector fields. As a consequence, we obtain the fact that K(2) does not admit continuous vector fields having a omega-recurrent ...
Poincare Recurrence Theorem For Non-smooth Vector Fields
(Springer Basel AGBasel, 2017)
Entropia, reversibilidade, irreversibilidade, equação de transporte e teorema H de Boltzmann e o teorema do retorno de Poincaré
(Sociedade Brasileira de Física, 2008)
Neste trabalho analisamos as conexões entre entropia, reversibilidade, irreversibilidade, teorema H e equação de transporte de Boltzmann e o teorema de retorno de Poincaré. Estes tópicos são estudados separadamente em ...
On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields
(2018-01-01)
In this paper some qualitative and geometric aspects of nonsmooth vector felds theory are discussed. A Poincaré-Bendixson Theorem for a class of nonsmooth systems is presented. In addition, a minimal set in planar Filippov ...
A generalization of poincares theorem for recurrence systems
(GORDON AND BREACH SCIENCE PUBLISHERS, 2006)
A generalization of poincares theorem for recurrence systemsAPPLICABLE ANALYSISAPPLIC ANAL
(GORDON AND BREACH SCIENCE PUBLISHERS, 2017)
Poincaré recurrence times in stochastic mixing processes
(Universidade Federal de São CarlosUFSCarPrograma Interinstitucional de Pós-Graduação em Estatística - PIPGEsCâmpus São Carlos, 2022-02-17)
In the context of the discrete-time stochastic processes, this thesis presents new results on Poincaré recurrence theory. After a complete review of recent results, we present a new theorem on the exponential approximations ...