Prevalence of marginally unstable periodic orbits in chaotic billiards

Details Prevalence of marginally unstable periodic orbits in chaotic billiards Prevalence of marginally unstable periodic orbits in chaotic billiards

2007-11-28

arxiv.org/abs/0711.4585v1

Phys. Rev. E 77, 016205 (2008)

Nonlinear Sciences

Chaotic Dynamics

6 pages, 5 figures

Scientific paper

10.1103/PhysRevE.77.016205

The dynamics of chaotic billiards is significantly influenced by coexisting regions of regular motion. Here we investigate the prevalence of a different fundamental structure, which is formed by marginally unstable periodic orbits and stands apart from the regular regions. We show that these structures both {\it exist} and {\it strongly influence} the dynamics of locally perturbed billiards, which include a large class of widely studied systems. We demonstrate the impact of these structures in the quantum regime using microwave experiments in annular billiards.

Affiliated with

Also associated with

No associations

Rating

Prevalence of marginally unstable periodic orbits in chaotic billiards 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 Prevalence of marginally unstable periodic orbits in chaotic billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Prevalence of marginally unstable periodic orbits in chaotic billiards will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-45216