Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure
This paper considers the complete synchronization problem for coupled chaotic systems with ring connections. First, we use a direct design method to design a synchronization controller. It transforms the error system into a stable system with special antisymmetric structure. And then, we get some s...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/680604 |
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| _version_ | 1841524740487905280 |
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| author | Xiangyong Chen Jianlong Qiu Qiang Song Ancai Zhang |
| author_facet | Xiangyong Chen Jianlong Qiu Qiang Song Ancai Zhang |
| author_sort | Xiangyong Chen |
| collection | DOAJ |
| description | This paper considers the complete synchronization problem for coupled chaotic systems with ring connections. First, we use a direct design method to design a synchronization controller. It transforms the error system into a stable system with special antisymmetric structure. And then, we get some simple stability criteria of achieving the complete synchronization. These criteria are not only easily verified but also improve and generalize previous known results. Finally, numerical examples are provided to demonstrate the effectiveness of the theoretical analysis. |
| format | Article |
| id | doaj-art-a5e6e60e8d774432ba63832a56dc391e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a5e6e60e8d774432ba63832a56dc391e2025-02-03T05:47:29ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/680604680604Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric StructureXiangyong Chen0Jianlong Qiu1Qiang Song2Ancai Zhang3School of Sciences, Linyi University, Linyi 276005, ChinaSchool of Sciences, Linyi University, Linyi 276005, ChinaSchool of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Automobile Engineering, Linyi University, Linyi 276005, ChinaThis paper considers the complete synchronization problem for coupled chaotic systems with ring connections. First, we use a direct design method to design a synchronization controller. It transforms the error system into a stable system with special antisymmetric structure. And then, we get some simple stability criteria of achieving the complete synchronization. These criteria are not only easily verified but also improve and generalize previous known results. Finally, numerical examples are provided to demonstrate the effectiveness of the theoretical analysis.http://dx.doi.org/10.1155/2013/680604 |
| spellingShingle | Xiangyong Chen Jianlong Qiu Qiang Song Ancai Zhang Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure Abstract and Applied Analysis |
| title | Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure |
| title_full | Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure |
| title_fullStr | Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure |
| title_full_unstemmed | Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure |
| title_short | Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure |
| title_sort | synchronization of coupled chaotic systems with ring connection based on special antisymmetric structure |
| url | http://dx.doi.org/10.1155/2013/680604 |
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