Dispersive semiflows on fiber bundles

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