Abstract
The chaotic synchronizations of Chen’s attractor and Lorenz chaotic systems linked by the difference of the nonlinear coupling function of the two systems are discussed. The method is an expansion of SC method (the method of chaotic synchronization based on the stability criterion). The special nonlinear-coupled functions are constructed by suitable separation between the linear term and the nonlinear term of chaotic systems. The state variable of the response system can be synchronized easily and completely onto that of the driver system without calculation of the maximum conditional Lyapunov exponent when the coupling strength is taken as constant one, and the zero point of synchronization error is asymptotically stable. The proposed method is effective for chaotic synchronization of Chen’s and Lorenz system by numerical simulations.
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Yu, H., Qian, H. (2014). Synchronization of Chen’s Attractor and Lorenz Chaotic Systems by Nonlinear Coupling Function. In: Huang, DS., Bevilacqua, V., Premaratne, P. (eds) Intelligent Computing Theory. ICIC 2014. Lecture Notes in Computer Science, vol 8588. Springer, Cham. https://doi.org/10.1007/978-3-319-09333-8_59
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DOI: https://doi.org/10.1007/978-3-319-09333-8_59
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