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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/741961 |
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| _version_ | 1832549552074260480 |
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| author | Yuzhu Xiao Sufang Tang Zhongkui Sun |
| author_facet | Yuzhu Xiao Sufang Tang Zhongkui Sun |
| author_sort | Yuzhu Xiao |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f137bda29a944eea98037984407f9c47 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f137bda29a944eea98037984407f9c472025-02-03T06:11:03ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/741961 |
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