The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes

Yuzhu Xiao, Sufang Tang and Zhongkui Sun

Journal of Applied Mathematics, 2014, vol. 2014, 1-7

Abstract:

The role of multiplicative noise in the synchronization of unidirectionally coupled ring with three nodes is studied. Based on the theory of stochastic differential equations, we demonstrate that noise plays a positive role in complete synchronization. In numerical simulations, the Lorenz system, Rössler like system, and Hindmarsh-Rose neuron model are employed to demonstrate the correctness of our theoretical result.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:741961

DOI: 10.1155/2014/741961

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