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

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

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, Rö...

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Main Authors: Yuzhu Xiao, Sufang Tang, Zhongkui Sun
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/741961
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spelling doaj-f137bda29a944eea98037984407f9c472020-11-24T22:01:47ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/741961741961The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three NodesYuzhu Xiao0Sufang Tang1Zhongkui Sun2Department of Mathematics and Information Science, Chang’an University, Xi’an 710064, ChinaSchool of Statistics, Xi’an University of Finance and Economics, Xi’an 710100, ChinaDepartment of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, ChinaThe 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.http://dx.doi.org/10.1155/2014/741961
collection DOAJ
language English
format Article
sources DOAJ
author Yuzhu Xiao
Sufang Tang
Zhongkui Sun
spellingShingle Yuzhu Xiao
Sufang Tang
Zhongkui Sun
The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes
Journal of Applied Mathematics
author_facet Yuzhu Xiao
Sufang Tang
Zhongkui Sun
author_sort Yuzhu Xiao
title The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes
title_short The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes
title_full The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes
title_fullStr The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes
title_full_unstemmed The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes
title_sort positive role of multiplicative noise in complete synchronization of unidirectionally coupled ring with three nodes
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/741961
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