Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps

Details Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps

2012-01-25

arxiv.org/abs/1201.5357v1

Mathematics

Dynamical Systems

Scientific paper

We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parameter families of reversible maps unfolding generally the initial heteroclinic tangency and prove that there are infinitely sequences (cascades) of bifurcations of birth of asymptotically stable and unstable as well as elliptic periodic orbits.

Affiliated with

Also associated with

No associations

Rating

Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps 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 Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444262