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A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability

Author

Listed:
  • Dhinakaran Veeman
  • Hayder Natiq
  • Ahmed M. Ali Ali
  • Karthikeyan Rajagopal
  • Iqtadar Hussain
  • M. De Aguiar

Abstract

Here, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator are examined. Studying the dynamical properties of the oscillator reveals its unique behaviors. The oscillator is multistable with symmetric dynamics. Equilibrium points of the oscillator are investigated. Bifurcations, Lyapunov exponents (LEs), and the Poincare section of the oscillator’s dynamics are analyzed. Also, the oscillator is investigated from the viewpoint of initial conditions. The study results show that the oscillator is conservative and has no dissipation. It also has various dynamics, such as equilibrium point and chaos. The stability analysis of equilibrium points shows there are both stable and unstable fixed points.

Suggested Citation

  • Dhinakaran Veeman & Hayder Natiq & Ahmed M. Ali Ali & Karthikeyan Rajagopal & Iqtadar Hussain & M. De Aguiar, 2022. "A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability," Complexity, Hindawi, vol. 2022, pages 1-7, March.
    • Handle: RePEc:hin:complx:9345036
    DOI: 10.1155/2022/9345036
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