Journal of Applied Mathematics

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

Yuzhu Xiao, Sufang Tang, and Zhongkui Sun

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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.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 741961, 7 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305909

Digital Object Identifier
doi:10.1155/2014/741961

Citation

Xiao, Yuzhu; Tang, Sufang; Sun, Zhongkui. The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes. J. Appl. Math. 2014 (2014), Article ID 741961, 7 pages. doi:10.1155/2014/741961. https://projecteuclid.org/euclid.jam/1425305909


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