Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space

Details Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space

1998-07-28

arxiv.org/abs/cond-mat/9807365v1

Physics

Condensed Matter

revtex, 4 pages, 3 ps-figures

Scientific paper

10.1103/PhysRevLett.82.528

By different methods we show that for dynamical chaos in the standard map with critical golden curve the Poincar\'e recurrences P(\tau) and correlations C(\tau) asymptotically decay in time as P ~ C/\tau ~ 1/\tau^3. It is also explained why this asymptotic behavior starts only at very large times. We argue that the same exponent p=3 should be also valid for a general chaos border.

Affiliated with

Also associated with

No associations

Rating

Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space 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 Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-562740