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.
@article{31558, title = {Dispersive semiflows on fiber bundles}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {37}, year = {2017}, doi = {10.5269/bspm.v37i2.31558}, language = {EN}, url = {http://dml.mathdoc.fr/item/31558} }
Souza, Josiney A.; Tozatti, Hélio V. M. Dispersive semiflows on fiber bundles. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i2.31558. http://gdmltest.u-ga.fr/item/31558/