Dispersive semiflows on fiber bundles

Josiney A. Souza, Hélio V. M. Tozatti

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.

Keywords


Semiflows; recursiveness; dispersiveness; Poisson stability; nonwandering point

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DOI: http://dx.doi.org/10.5269/bspm.v37i2.31558



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