

Preprint 95/2004
Fractal Stationary Density in Coupled Maps
Jürgen Jost and Kiran M. Kolwankar
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Submission date: 20. Dec. 2004
Pages: 10
published in: Fractals in engineering : new trends in theory and applications / J. Lévy-Véhel ... (eds.)
London : Springer, 2005. - P. 57 - 64
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Abstract:
We study the invariant measure or the stationary density of a
coupled discrete dynamical system as a function of the coupling
parameter (
). 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.