Fractal Stationary Density in Coupled Maps

Details Fractal Stationary Density in Coupled Maps Fractal Stationary Density in Coupled Maps

2005-08-10

arxiv.org/abs/nlin/0508017v1

in Fractals in Engineering - New Trends in Theory and Applications, J. Levy-Vehel and E. Lutton (Eds.), pg 57, (Springer, Lond

Nonlinear Sciences

Chaotic Dynamics

8 pages, 3 figures, uses svmult.cls

Scientific paper

We study the invariant measure or the stationary density of a coupled discrete dynamical system as a function of the coupling parameter \epsilon (0 < \epsilon < 1/4). The dynamical system considered is chaotic and unsynchronized for this range of parameter values. We find that the stationary density, restricted on the synchronization manifold, is a fractal function. We find the lower bound on the fractal dimension of the graph of this function and show that it changes continuously with the coupling parameter

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322270