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Modified projective and modified function projective synchronization of a class of real nonlinear systems and a class of complex nonlinear systems

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Abstract

The modified projective and modified function projective synchronization of a class of chaotic real nonlinear systems, or a class of chaotic complex nonlinear systems, have been widely reported in the previous studies, respectively. In the paper, the modified projective and modified function projective synchronization between a class of chaotic real nonlinear systems and a class of chaotic complex nonlinear systems are first investigated. Based on the Lyapunov stability theory, the drive real system and response complex system can be synchronized up to the desired scaling constants and functions, respectively. The corresponding numerical simulations are performed to verify and demonstrate the validity and feasibility of the presented idea.

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Acknowledgments

The authors thank the editor and the anonymous reviewers for their resourceful and valuable comments and constructive suggestions. Project is supported by the State Key Program of the National Natural Science Foundation of China (Grant No. 61134012), the National Natural Science Foundation of China (Grant Nos. 11271146 and 61070238), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20130142130012), and the Science and Technology Program of Wuhan (Grant No. 20130105010117).

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Authors and Affiliations

  1. School of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, China

    Junwei Sun & Xuncai Zhang

  2. School of Automation, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China

    Junwei Sun & Yi Shen

  3. Key Laboratory of Ministry of Education for Image Processing and Intelligent Control, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China

    Junwei Sun & Yi Shen

Authors
  1. Junwei Sun
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  2. Yi Shen
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Correspondence to Junwei Sun.

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Sun, J., Shen, Y. & Zhang, X. Modified projective and modified function projective synchronization of a class of real nonlinear systems and a class of complex nonlinear systems. Nonlinear Dyn 78, 1755–1764 (2014). https://doi.org/10.1007/s11071-014-1558-z

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  • DOI: https://doi.org/10.1007/s11071-014-1558-z

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