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Self-Excited and Hidden Attractors in a Simple Chaotic Jerk System and in Its Time-Delayed Form: Analysis, Electronic Implementation, and Synchronization

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Abstract

A chaotic simple jerk system (SJS) that belongs to systems with self-excited and hidden attractors is introduced in this paper. The dynamics of the proposed SJS is analytically and numerically investigated. Interestingly, the influence of the time delay on the proposed chaotic SJS is studied. In addition, the physical existence of self-excited and hidden chaotic attractors found in the proposed SJS and in the time-delayed form of SJSs (TDSJSs) are verified by using Orcard-PSpice software. Finally, chaos synchronization of identical, unidirectional, coupled, proposed chaotic TDSJSs is also reported.

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Authors and Affiliations

  1. Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh, 758307, Vietnam

    Karthikeyan Rajagopal & Viet-Thanh Pham

  2. Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Sifeu Takougang Kingni

  3. Research Unit of Automation and Applied Computer (UR-AIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon

    Guillaume Honoré Kom

  4. Center for Nonlinear Dynamics, Defence University, Bishoftu, 6020, Ethiopia

    Anitha Karthikeyan

  5. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran, 15875-4413, Iran

    Sajad Jafari

Authors
  1. Karthikeyan Rajagopal
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  2. Sifeu Takougang Kingni
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  3. Guillaume Honoré Kom
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  4. Viet-Thanh Pham
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  5. Anitha Karthikeyan
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  6. Sajad Jafari
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Correspondence to Sifeu Takougang Kingni.

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Rajagopal, K., Kingni, S.T., Kom, G.H. et al. Self-Excited and Hidden Attractors in a Simple Chaotic Jerk System and in Its Time-Delayed Form: Analysis, Electronic Implementation, and Synchronization. J. Korean Phys. Soc. 77, 145–152 (2020). https://doi.org/10.3938/jkps.77.145

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  • DOI: https://doi.org/10.3938/jkps.77.145

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