Fractal Stationary Density in Coupled Maps


We study the invariant measure or the stationary density of a coupled discrete dynamical system as a function of the coupling parameter ǫ (0 < ǫ < 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… (More)


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