Dynamical estimates of chaotic systems from Poincaré recurrences

Details Dynamical estimates of chaotic systems from Poincaré recurrences Dynamical estimates of chaotic systems from Poincaré recurrences

2008-05-23

arxiv.org/abs/0805.3596v5

Nonlinear Sciences

Chaotic Dynamics

subm. for publication. Accepted fpr publication in Chaos

Scientific paper

We show that the probability distribution function that best fits the distribution of return times between two consecutive visits of a chaotic trajectory to finite size regions in phase space deviates from the exponential statistics by a small power-law term, a term that represents the deterministic manifestation of the dynamics, which can be easily experimentally detected and theoretically estimated. We also provide simpler and faster ways to calculate the positive Lyapunov exponents and the short-term correlation function by either realizing observations of higher probable returns or by calculating the eigenvalues of only one very especial unstable periodic orbit of low-period. Finally, we discuss how our approaches can be used to treat data coming from complex systems.

Affiliated with

Also associated with

No associations

Rating

Dynamical estimates of chaotic systems from Poincaré recurrences 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 Dynamical estimates of chaotic systems from Poincaré recurrences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical estimates of chaotic systems from Poincaré recurrences will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500313