A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability. (26th March 2022)

• Record Type: Journal Article
• Authors: Veeman, Dhinakaran; Natiq, Hayder; Ali, Ahmed M. Ali; Rajagopal, Karthikeyan; Hussain, Iqtadar
• Other Names: De Aguiar M. Academic Editor.
• Is Part Of: Complexity. Volume 2022(2022)
• Publication Date: 2022-03-26
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2022/9345036
• Languages: English
• ISSNs: 1076-2787

Abstract

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.