Semiflows on Topological Spaces: Chain Transitivity and Semigroups

Article

DOI: 10.1007/s10884-006-9032-3

Cite this article as:
Patrão, M. & Martin, L.A.S. J Dyn Diff Equat (2007) 19: 155. doi:10.1007/s10884-006-9032-3

This paper studies semiflows on topological spaces. A concept of chain recurrence, based on families of coverings, is introduced and related to Morse decomposition. The chain transitive components are studied via semigroup theory by the introduction of the shadowing semigroups associated to a semiflow.

Keywords

Semiflows chain recurrence semigroups Morse decomposition 

AMS 2000 Subject Classification

Primary 37B35 Primary 37B25 

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Instituto de MatemáticaUniversidade Estadual de CampinasCampinas-SPBrasil