Journal of Dynamics and Differential Equations

, Volume 19, Issue 1, pp 181–198

Morse Decomposition of Semiflows on Topological Spaces

Article

DOI: 10.1007/s10884-006-9033-2

Cite this article as:
Patrão, M. J Dyn Diff Equat (2007) 19: 181. doi:10.1007/s10884-006-9033-2

This paper studies Morse decompositions of discrete and continuous-time semiflows on compact Hausdorff topological spaces. We extend two classical results which are well-known facts for flows on compact metric spaces: the characterization of the Morse decompositions through increasing sequences of attractors and the existence of Lyapunov functions.

Keywords

SemiflowsTopological spacesMorse decompositionsLyapunov functions

Ams Subject Classification 2000

Primary: 37B3537B25

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

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