Morse decomposition of semiflows on fiber bundles
Mauro Patrão, Luiz A. B. San Martín · Discrete and Continuous Dynamical Systems · 2007
We study chain transitivity and Morse decompositions of discrete and continuous-time semiflows on fiber bundles with emphasis on (generalized) flag bundles. In this case an algebraic description of the chain transitive sets is given. Our approach consists in embedding the semiflow in a semigroup of continuous maps to take advantage of the good properties of the semigroup actions on the flag manifolds.