Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors

Details Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors

2004-12-02

arxiv.org/abs/nlin/0412011v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, submitted for publication

Scientific paper

10.1103/PhysRevLett.95.094101

We study Poincare recurrence of chaotic attractors for regions of finite size. Contrary to the standard case, where the size of the recurrent regions tends to zero, the measure is not supported anymore solely by unstable periodic orbits inside it, but also by other special recurrent trajectories, located outside that region. The presence of the latter leads to a deviation of the distribution of the Poincare first return times from a Poissonian. Consequently, by taken into account the contribution of these recurrent trajectories, a corrected estimate of the measure can be provided. This has wide experimental implications, as in the laboratory all returns can exclusively be observed for regions of finite size only.

Affiliated with

Also associated with

No associations

Rating

Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors 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 Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-403294