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Synchronization of Three-Scroll Unified Chaotic System (TSUCS) and its hyper-chaotic system using active pinning control

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Abstract

This paper studies the synchronization and anti-synchronization problem of the Three-Scroll Unified Chaotic System (TSUCS), which has nonlinear terms in each subsystem. By virtue of active control, a novel active pinning control strategy is presented, which only needs one or two states of the TSUCS. Under the proposed controller, the synchronization of two TSUCS with parametric uncertainty is achieved and therefore the robust stability of TSUCS synchronization is ensured. Some stability theories about synchronization and anti-synchronization have been given and proved the use of this class of a novel TSUCS and its hyper-unified chaotic system with the active pinning control strategy. Numerical simulations are given to verify the theoretical analysis, which clearly shows that the control strategy can really make the chaotic systems achieve synchronization and anti-synchronization in a quite short time.

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Acknowledgements

This work was supported by the National Nature Science Foundation of China (Grant Nos. 61075015 and 61073102), the Natural Science Foundation of Hubei Province, P.R. China (Grant No. 2007ABA408), China Postdoctoral Science Foundation funded project (Grant No. 0106184022) and the Research Start-up Funds in Wuhan Polytechnic University, P.R. China (Grant No. 2011363).

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Authors and Affiliations

  1. School of Electric & Electronic Engineering, Wuhan Polytechnic University, Wuhan, 430023, P.R. China

    Lin Pan & Long Zhou

  2. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China

    Lin Pan

  3. Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg, Luxembourg

    Lin Pan

  4. School of Science, Anhui University of Science and Technology, Huainan, 232001, Anhui Province, P.R. China

    Dequan Li

Authors
  1. Lin Pan
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  2. Long Zhou
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  3. Dequan Li
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Correspondence to Lin Pan, Long Zhou or Dequan Li.

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Pan, L., Zhou, L. & Li, D. Synchronization of Three-Scroll Unified Chaotic System (TSUCS) and its hyper-chaotic system using active pinning control. Nonlinear Dyn 73, 2059–2071 (2013). https://doi.org/10.1007/s11071-013-0922-8

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  • DOI: https://doi.org/10.1007/s11071-013-0922-8

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