Open AccessA New Hamiltonian Chaotic System with Coexisting Chaotic Orbits and its Dynamical Analysis
Author(s) -
Sundarapandian Vaidyanathan,
Aceng Sambas,
Sen Zhang,
Mohamad Afendee Mohamed,
Mustafa Mamat
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i4.16826
Subject(s) - chaotic , hamiltonian system , hamiltonian (control theory) , classical mechanics , physics , nonlinear system , dynamical systems theory , chaotic systems , hamiltonian mechanics , statistical physics , mathematics , computer science , quantum mechanics , phase space , mathematical optimization , artificial intelligence
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.