Dispersive semiflows on fiber bundles

  • Josiney A. Souza Universidade Estadual de Maringá Departamento de Matemática
  • Hélio V. M. Tozatti Universidade Tecnológica Federal do Paraná
Keywords: Semiflows, recursiveness, dispersiveness, Poisson stability, nonwandering point

Abstract

This paper studies dispersiveness of semiflows on fiber bundles. The main result says that a right invariant semiflow on a fiber bundle is dispersive on the base space if and only if there is no almost periodic point and the semiflow is dispersive on the total space. A special result states that linear semiflows on vector bundles are not dispersive.

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Author Biographies

Josiney A. Souza, Universidade Estadual de Maringá Departamento de Matemática
Professor
Hélio V. M. Tozatti, Universidade Tecnológica Federal do Paraná
Professor
Published
2017-04-23
Section
Articles