Universality of Period Doubling in Coupled Maps

Details Universality of Period Doubling in Coupled Maps Universality of Period Doubling in Coupled Maps

1993-11-08

arxiv.org/abs/cond-mat/9311014v1

Physics

Condensed Matter

12 pages, Revtex v.3.0, no local report no

Scientific paper

10.1103/PhysRevE.49.1745

We study the critical behavior of period doubling in two coupled one-dimensional maps with a single maximum of order $z$. In particurlar, the effect of the maximum-order $z$ on the critical behavior associated with coupling is investigated by a renormalization method. There exist three fixed maps of the period-doubling renormalization operator. For a fixed map associated with the critical behavior at the zero-coupling critical point, relevant eigenvalues associated with coupling perturbations vary depending on the order $z$, whereas they are independent of $z$ for the other two fixed maps. The renormalization results for the zero-coupling case are also confirmed by a direct numerical method.

Affiliated with

Also associated with

No associations

Rating

Universality of Period Doubling in 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 Universality of Period Doubling in Coupled Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality of Period Doubling in Coupled Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556872