Fractal Stationary Density in Coupled Maps

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the invariant measure or the stationary density of a coupled discrete dynamical system as a function of the coupling parameter ε(0 < ε< 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
8 pages, 3 figures, uses svmult.cls

Keywords

Chaotic Dynamics, Dynamical Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/81050

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0508017
 http://arxiv.org/abs/nlin/0508017
 in Fractals in Engineering - New Trends in Theory and Applications, J. Levy-Vehel and E. Lutton (Eds.), pg 57, (Springer, London, 2005)

Collections

arXiv