Dispersive semiflows on fiber bundles

Authors

  • Josiney A. Souza Universidade Estadual de Maringá Departamento de Matemática
  • Hélio V. M. Tozatti Universidade Tecnológica Federal do Paraná

DOI:

https://doi.org/10.5269/bspm.v37i2.31558

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.

Author Biographies

  • Josiney A. Souza, Universidade Estadual de Maringá Departamento de Matemática
    Professor
  • Hélio V. M. Tozatti, Universidade Tecnológica Federal do Paraná
    Professor

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Published

2017-04-23

Issue

Vol. 37 No. 2 (2019)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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