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2014 The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes
Yuzhu Xiao, Sufang Tang, Zhongkui Sun
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/741961

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.

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Yuzhu Xiao. Sufang Tang. Zhongkui Sun. "The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/741961

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131836
Digital Object Identifier: 10.1155/2014/741961

Rights: Copyright © 2014 Hindawi

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