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MiS Preprint
95/2004

Fractal Stationary Density in Coupled Maps

Jürgen Jost and Kiran M. Kolwankar

Abstract

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 estimate the fractal dimension of the graph of this function and show that it changes continuously with the coupling parameter.

Received:
20.12.2004
Published:
20.12.2004

Related publications

inBook
2005 Repository Open Access
Jürgen Jost and Kiran Murlidhar Kolwankar

Fractal stationary density in coupled maps

In: Fractals in engineering : new trends in theory and applications / Jacques Lévy-Véhel... (eds.)
London : Springer, 2005. - pp. 57-64