Dynamic Properties of Coupled Maps

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2010

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Abstract

Dynamic properties are investigated in the coupled system of three maps with symmetric nearest neighbor coupling and periodic boundary conditions. The dynamics of the system is controlled by certain coupling parameters. We show that, for some values of the parameters, the system exhibits nontrivial collective behavior, such as multiple bifurcations, and chaos. We give computer simulations to support the theoretical predictions.

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Other article

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logistic maps, bifurcation, symmetry, system, mathematics, interdisciplinary applications, multidisciplinary sciences

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Zhang,Chunrui;Zheng,Huifeng. 2010. Dynamic Properties of Coupled Maps. Discrete Dynamics in Nature and Society ( ): 905102-905102.

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https://hdl.handle.net/10161/4321

Published Version (Please cite this version)

10.1155/2010/905102

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