Mathematics – Dynamical Systems
Scientific paper
2012-04-08
Dynamics of Continuous, Discrete and Impulsive Systems, Vol. 5, 1999, 529-543
Mathematics
Dynamical Systems
Published in Dynamics of Continuous, Discrete and Impulsive Systems, Vol. 5, 1999, 529-543
Scientific paper
Let K denote a compact invariant set for a strongly monotone semiflow in an ordered Banach space E, satisfying standard smoothness and compactness assumptions. Suppose the semiflow restricted to K is chain transitive. The main result is that either K is unordered, or else K is contained in totally ordered, compact arc of stationary points; and the latter cannot occur if the semiflow is real analytic and dissipative. As an application, entropy is 0 when E = R^3 . Analogous results are proved for maps. The main tools are results of Mierczynski [27 ] and Terescak [37 ]
No associations
LandOfFree
Chain transitive sets for smooth strongly monotone dynamical systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chain transitive sets for smooth strongly monotone dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chain transitive sets for smooth strongly monotone dynamical systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-509245