A New 4-D Chaotic System with Hidden Attractor and its Circuit Implementation

  • Authors

    • Aceng Sambas Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia
    • Mustafa Mamat Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Malaysia
    • Sundarapandian Vaidyanathan Research and Development Centre, Vel Tech University, Avadi, Chennai, India
    • Muhammad Mohamed Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Malaysia
    • Mada Sanjaya Department of Physics, Universitas Islam Negeri Sunan Gunung Djati Bandung, Indonesia
    2018-06-30
    https://doi.org/10.14419/ijet.v7i3.9846
  • Chaos, chaotic systems, circuit simulation, hidden attractors, Lyapunov exponents

  • Abstract

    In the chaos literature, there is currently significant interest in the discovery of new chaotic systems with hidden chaotic attractors. A new 4-D chaotic system with only two quadratic nonlinearities is investigated in this work. First, we derive a no-equilibrium chaotic system and show that the new chaotic system exhibits hidden attractor. Properties of the new chaotic system are analyzed by means of phase portraits, Lyapunov chaos exponents, and Kaplan-Yorke dimension. Then an electronic circuit realization is shown to validate the chaotic behavior of the new 4-D chaotic system. Finally, the physical circuit experimental results of the 4-D chaotic system show agreement with numerical simulations.

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  • How to Cite

    Sambas, A., Mamat, M., Vaidyanathan, S., Mohamed, M., & Sanjaya, M. (2018). A New 4-D Chaotic System with Hidden Attractor and its Circuit Implementation. International Journal of Engineering & Technology, 7(3), 1245-1250. https://doi.org/10.14419/ijet.v7i3.9846

    Received date: 2018-03-04

    Accepted date: 2018-04-04

    Published date: 2018-06-30