Summary
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.
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© 2005 Springer-Verlag London Limited
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Jost, J., Kolwankar, K.M. (2005). Fractal Stationary Density in Coupled Maps. In: Lévy-Véhel, J., Lutton, E. (eds) Fractals in Engineering. Springer, London. https://doi.org/10.1007/1-84628-048-6_4
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DOI: https://doi.org/10.1007/1-84628-048-6_4
Publisher Name: Springer, London
Print ISBN: 978-1-84628-047-4
Online ISBN: 978-1-84628-048-1
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