Fractal Stationary Density in Coupled Maps

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dc.creatorJost, Juergen
dc.creatorKolwankar, Kiran M.
dc.date2005-08-10
dc.date.accessioned2026-07-07T05:36:37Z
dc.date.available2026-07-07T05:36:37Z
dc.descriptionWe 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
dc.description8 pages, 3 figures, uses svmult.cls
dc.identifierhttps://arxiv.org/abs/nlin/0508017
dc.identifierhttp://arxiv.org/abs/nlin/0508017
dc.identifierin Fractals in Engineering - New Trends in Theory and Applications, J. Levy-Vehel and E. Lutton (Eds.), pg 57, (Springer, London, 2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81050
dc.subjectChaotic Dynamics
dc.subjectDynamical Systems
dc.titleFractal Stationary Density in Coupled Maps
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