Attractor-repeller pair, Morse decomposition and Lyapunov function for random dynamical systems

Details Attractor-repeller pair, Morse decomposition and Lyapunov function for random dynamical systems Attractor-repeller pair, Morse decomposition and Lyapunov function for random dynamical systems

2006-06-09

arxiv.org/abs/math/0606205v1

Mathematics

Dynamical Systems

17 pages, Latex

Scientific paper

In the stability theory of dynamical systems, Lyapunov functions play a fundamental role. In this paper, we study the attractor-repeller pair decomposition and Morse decomposition for compact metric space in the random setting. In contrast to [8], by introducing slightly stronger definitions of random attractor and repeller, we characterize attractor-repeller pair decompositions and Morse decompositions for random dynamical systems through the existence of Lyapunov functions. These characterizations, we think, deserve to be known widely.

Affiliated with

Also associated with

No associations

Rating

Attractor-repeller pair, Morse decomposition and Lyapunov function for random 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 Attractor-repeller pair, Morse decomposition and Lyapunov function for random dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Attractor-repeller pair, Morse decomposition and Lyapunov function for random dynamical systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-410000