Covering Relations and Non-autonomous Perturbations of ODEs

Details Covering Relations and Non-autonomous Perturbations of ODEs Covering Relations and Non-autonomous Perturbations of ODEs

2003-09-02

arxiv.org/abs/math/0309034v1

Mathematics

Dynamical Systems

16 pages

Scientific paper

Covering relations are a topological tool for detecting periodic orbits, symbolic dynamics and chaotic behavior for autonomous ODE. We extend the method of the covering relations onto systems with a time dependent perturbation. As an example we apply the method to non-autonomous perturbations of the R\"{o}ssler equations to show that for small perturbation they posses symbolic dynamics.

Affiliated with

Also associated with

No associations

Rating

Covering Relations and Non-autonomous Perturbations of ODEs 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 Covering Relations and Non-autonomous Perturbations of ODEs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Covering Relations and Non-autonomous Perturbations of ODEs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-493691