Elsevier

Applied Mathematics Letters

Volume 25, Issue 12, December 2012, Pages 2312-2316
Applied Mathematics Letters

Attaining chaos synchronization by using the non-generating partitions

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Abstract

In this study, we show that, the unidirectional chaos synchronization can be obtained by using a non-generating partition to divide the phase space. Moreover, when using a non-generating partition to attain the chaos synchronization, the minimum required communication channel capacity is hβ, which is less than the KS entropy of the drive system hKS. However, the minimum synchronization error cannot be arbitrarily small. Simulations are provided to validate our results.

Keywords

Chaos
Synchronization
Symbolic dynamics
Automaton
Channel capacity

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