A Simple Approach to Achieve Modified Projective Synchronization between Two Different Chaotic Systems
A new approach, the projective system approach, is proposed to realize modified projective synchronization between two different chaotic systems. By simple analysis of trajectories in the phase space, a projective system of the original chaotic systems is obtained to replace the errors system to jud...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/568194 |
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| _version_ | 1850235588787044352 |
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| author | Lei Wang Bin Zhen Jian Xu |
| author_facet | Lei Wang Bin Zhen Jian Xu |
| author_sort | Lei Wang |
| collection | DOAJ |
| description | A new approach, the projective system approach, is proposed to realize modified projective synchronization between two different chaotic systems. By simple analysis of trajectories in the phase space, a projective system of the original chaotic systems is obtained to replace the errors system to judge the occurrence of modified projective synchronization.
Theoretical analysis and numerical simulations show that, although the projective system may not be unique, modified projective synchronization can be achieved provided that the origin of any of projective systems is asymptotically stable. Furthermore, an example is presented to illustrate that even a necessary and sufficient condition for modified projective synchronization can be derived by using the projective system approach. |
| format | Article |
| id | doaj-art-123aaf2b9e8e4c67b92462ce37e1a7ee |
| institution | OA Journals |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-123aaf2b9e8e4c67b92462ce37e1a7ee2025-08-20T02:02:12ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/568194568194A Simple Approach to Achieve Modified Projective Synchronization between Two Different Chaotic SystemsLei Wang0Bin Zhen1Jian Xu2College of Hydraulic and Environmental Engineering, China Three Gorges University, Yichang 443002, ChinaCollege of Hydraulic and Environmental Engineering, China Three Gorges University, Yichang 443002, ChinaSchool of Aerospace and Mechanics Engineering, Tongji University, Shanghai 200092, ChinaA new approach, the projective system approach, is proposed to realize modified projective synchronization between two different chaotic systems. By simple analysis of trajectories in the phase space, a projective system of the original chaotic systems is obtained to replace the errors system to judge the occurrence of modified projective synchronization. Theoretical analysis and numerical simulations show that, although the projective system may not be unique, modified projective synchronization can be achieved provided that the origin of any of projective systems is asymptotically stable. Furthermore, an example is presented to illustrate that even a necessary and sufficient condition for modified projective synchronization can be derived by using the projective system approach.http://dx.doi.org/10.1155/2013/568194 |
| spellingShingle | Lei Wang Bin Zhen Jian Xu A Simple Approach to Achieve Modified Projective Synchronization between Two Different Chaotic Systems The Scientific World Journal |
| title | A Simple Approach to Achieve Modified Projective Synchronization between Two Different Chaotic Systems |
| title_full | A Simple Approach to Achieve Modified Projective Synchronization between Two Different Chaotic Systems |
| title_fullStr | A Simple Approach to Achieve Modified Projective Synchronization between Two Different Chaotic Systems |
| title_full_unstemmed | A Simple Approach to Achieve Modified Projective Synchronization between Two Different Chaotic Systems |
| title_short | A Simple Approach to Achieve Modified Projective Synchronization between Two Different Chaotic Systems |
| title_sort | simple approach to achieve modified projective synchronization between two different chaotic systems |
| url | http://dx.doi.org/10.1155/2013/568194 |
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