Long transients and cluster size in globally coupled maps

Details Long transients and cluster size in globally coupled maps Long transients and cluster size in globally coupled maps

2000-10-27

arxiv.org/abs/nlin/0010049v1

Europhys. Lett. v.52, pp.615-619 (2000)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

To appear in Europhysics Letters

Scientific paper

10.1209/epl/i2000-00482-6

We analyze the asymptotic states in the partially ordered phase of a system of globally coupled logistic maps. We confirm that, regardless of initial conditions, these states consist of a few clusters, and they properly belong in the ordered phase of these systems. The transient times necessary to reach the asymptotic states can be very long, especially very near the transition line separating the ordered and the coherent phases. We find that, where two clusters form, the distribution of their sizes corresponds to windows of regular or narrow-band chaotic behavior in the bifurcation diagram of a system of two degrees of freedom that describes the motion of two clusters, where the size of one cluster acts as a bifurcation parameter.

Affiliated with

Also associated with

No associations

Rating

Long transients and cluster size in globally coupled maps 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 Long transients and cluster size in globally coupled maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long transients and cluster size in globally coupled maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-234416