COEXISTENCE OF LOW- AND HIGH-DIMENSIONAL SPATIOTEMPORAL CHAOS IN A CHAIN OF DISSIPATIVELY COUPLED CHUA’S CIRCUITS

作者: A.L. ZHELEZNYAK , L.O. CHUA

DOI: 10.1142/S0218127494000460

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摘要: Spatiotemporal dynamics of a one-dimensional cellular neural network (CNN) made Chua’s circuits which mimics reaction-diffusion medium is considered. An approach presented to analyse the properties this CNN through characteristics attractors an associated infinite-dimensional dynamical system with matrix phase space. Using approach, spatiotemporal correlation dimension CNN’s patterns computed over various ranges diffusion coupling parameter, length chain, and initial conditions. It shown that in finite-dimensional projection space CNN, both low- high-dimensional corresponding different conditions coexist.

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