CYCLING CHAOS IN ONE-DIMENSIONAL COUPLED ITERATED MAPS
نویسندگان
چکیده
منابع مشابه
Cycling Chaos in One-Dimensional Coupled Iterated Maps
Cycling behavior involving steady-states and periodic solutions is known to be a generic feature of continuous dynamical systems with symmetry. Using Chua’s circuit equations and Lorenz equations, Dellnitz et al. [1995] showed that “cycling chaos”, in which solution trajectories cycle around symmetrically related chaotic sets, can also be found generically in coupled cell systems of differentia...
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A one-dimensional chain of sporadic maps with asymmetric nearest neighbour couplings is numerically studied. It is shown that in the region of strong asymmetry the system becomes spatially fully synchronized, even in the thermodinamic limit, while the Lyapunov exponent is zero. For weak asymmetry the synchronization is no more complete, and the Lyapunov exponent becomes positive. In addition on...
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2002
ISSN: 0218-1274,1793-6551
DOI: 10.1142/s0218127402005492