A New Chaotic Jerk System with Three Nonlinearities and Synchronization via Adaptive Backstepping Control

  • Authors

    • Sundarapandian Vaidyanathan Vel Tech University
    • Sifeu Takougang Kingni University of Maroua
    • Aceng Sambas Universitas Muhammadiyah Tasikmalaya
    • Mohamad Afendee Mohamed Universiti Sultan Zainal Abidin
    • Mustafa Mamat Universiti Sultan Zainal Abidin
    2018-08-24
    https://doi.org/10.14419/ijet.v7i3.15378
  • Chaos, Chaotic systems, jerk systems, backstepping control, synchronization.

  • Abstract

    Jerk systems are popular in mechanical engineering and chaotic jerk systems are used in many applications as they have simple structure and complex dynamic properties. In this work, we report a new chaotic jerk system with three nonlinear terms. Dynamical properties of the chaotic jerk system are analyzed through equilibrium analysis, dissipativity, phase portraits and Lyapunov chaos exponents. We show that the new chaotic jerk system has a unique saddle-focus equilibrium at the origin. Thus, the new chaotic jerk system has a self-excited strange attractor. Next, global chaos synchronization of a pair of new chaotic jerk systems is successfully achieved via adaptive backstepping control.

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  • How to Cite

    Vaidyanathan, S., Kingni, S. T., Sambas, A., Mohamed, M. A., & Mamat, M. (2018). A New Chaotic Jerk System with Three Nonlinearities and Synchronization via Adaptive Backstepping Control. International Journal of Engineering & Technology, 7(3), 1936-1943. https://doi.org/10.14419/ijet.v7i3.15378

    Received date: 2018-07-10

    Accepted date: 2018-07-31

    Published date: 2018-08-24