A New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis

  • Authors

    • Sundarapandian Vaidyanathan Vel Tech University
    • Aceng Sambas Universitas Muhammadiyah Tasikmalaya
    • Sen Zhang Xiangtan University
    • Mohamad Afendee Mohamed Universiti Sultan Zainal Abidin
    • Mustafa Mamat Universiti Sultan Zainal Abidin
    2018-09-20
    https://doi.org/10.14419/ijet.v7i4.16826
  • Chaos, Chaotic systems, conservative systems, Hamiltonian systems, Lyapunov exponents.

  • Abstract

    Hamiltonian chaotic systems are conservative chaotic systems which arise in many applications in Classical Mechanics. A famous Hamiltonian chaotic system is the H´enon-Heiles system (1964), which was modeled by H´enon and Heiles, describing the nonlinear motion of a star around a galactic centre with the motion restricted to a plane. In this research work, by modifying the dynamics of the H´enon-Heiles system (1964), we obtain a new Hamiltonian chaotic system with coexisting chaotic orbits. We describe the dynamical properties of the new Hamiltonian chaotic system.

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  • How to Cite

    Vaidyanathan, S., Sambas, A., Zhang, S., Mohamed, M. A., & Mamat, M. (2018). A New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis. International Journal of Engineering & Technology, 7(4), 2430-2436. https://doi.org/10.14419/ijet.v7i4.16826

    Received date: 2018-08-04

    Accepted date: 2018-08-17

    Published date: 2018-09-20