Synchronization and anti-synchronization of a hyperchaotic Chen system |
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| Authors: | M.M. El-Dessoky |
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| Affiliation: | 1. College of Computational Science, ZhongKai University of Agriculture and Engineering, Guangzhou 510225, PR China;2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, PR China;3. School of Automation, Guangdong University of Technology, Guangzhou 510006, PR China;4. School of Automation, Xi’an University of Posts and Telecommunications, Xi’an 710121, PR China;1. Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China;2. College of Automation, Chongqing University, Chongqing 400044, China |
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| Abstract: | Based on the active control theory, synchronization and anti-synchronization between two identical chaotic systems is investigated. Anti-synchronization can be characterized by the vanishing of the sum of relevant variables. Through rigorous mathematical theory, the sufficient condition is drawn for the stability of the error dynamics, where the controllers are designed by using the sum of the relevant variables in chaotic systems. Numerical simulations are performed for Chen hyperchaotic dynamical system to demonstrate the effectiveness of the proposed control strategy. |
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