Bursts in the Chaotic Trajectory Lifetimes Preceding the Controlled Periodic Motion

Details Bursts in the Chaotic Trajectory Lifetimes Preceding the Controlled Periodic Motion Bursts in the Chaotic Trajectory Lifetimes Preceding the Controlled Periodic Motion

2000-07-24

arxiv.org/abs/nlin/0007035v1

Nonlinear Sciences

Chaotic Dynamics

Accepted for publication in Phys. Rev. E, 3 PS figures

Scientific paper

10.1103/PhysRevE.62.4869

The average lifetime ($\tau(H)$) it takes for a randomly started trajectory to land in a small region ($H$) on a chaotic attractor is studied. $\tau(H)$ is an important issue for controlling chaos. We point out that if the region $H$ is visited by a short periodic orbit, the lifetime $\tau(H)$ strongly deviates from the inverse of the naturally invariant measure contained within that region ($\mu_N(H)^{-1}$). We introduce the formula that relates $\tau(H)/\mu_N(H)^{-1}$ to the expanding eigenvalue of the short periodic orbit visiting $H$.

Affiliated with

Also associated with

No associations

Rating

Bursts in the Chaotic Trajectory Lifetimes Preceding the Controlled Periodic Motion 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 Bursts in the Chaotic Trajectory Lifetimes Preceding the Controlled Periodic Motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bursts in the Chaotic Trajectory Lifetimes Preceding the Controlled Periodic Motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-106428