Fractal Stationary Density in Coupled Maps
混沌动力学
2007-05-23 v1 动力系统
摘要
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
引用
@article{arxiv.nlin/0508017,
title = {Fractal Stationary Density in Coupled Maps},
author = {Juergen Jost and Kiran M. Kolwankar},
journal= {arXiv preprint arXiv:nlin/0508017},
year = {2007}
}
备注
8 pages, 3 figures, uses svmult.cls