Lyapunov analysis captures the collective dynamics of large chaotic systems

Details Lyapunov analysis captures the collective dynamics of large chaotic systems Lyapunov analysis captures the collective dynamics of large chaotic systems

2009-07-24

arxiv.org/abs/0907.4298v2

Phys. Rev. Lett. 103, 154103 (2009)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures; small changes, mostly stylistic, made in v2

Scientific paper

10.1103/PhysRevLett.103.154103

We show, using generic globally-coupled systems, that the collective dynamics of large chaotic systems is encoded in their Lyapunov spectra: most modes are typically localized on a few degrees of freedom, but some are delocalized, acting collectively on the trajectory. For globally-coupled maps, we show moreover a quantitative correspondence between the collective modes and some of the so-called Perron-Frobenius dynamics. Our results imply that the conventional definition of extensivity must be changed as soon as collective dynamics sets in.

Affiliated with

Also associated with

No associations

Rating

Lyapunov analysis captures the collective dynamics of large chaotic systems 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 Lyapunov analysis captures the collective dynamics of large chaotic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lyapunov analysis captures the collective dynamics of large chaotic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-310357