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

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....

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Bibliographic Details
Published in:	Complexity (New York, N.Y.) Vol. 2022; no. 1
Main Authors:	Veeman, Dhinakaran, Natiq, Hayder, Ali, Ahmed M. Ali, Rajagopal, Karthikeyan, Hussain, Iqtadar
Format:	Journal Article
Language:	English
Published:	Hoboken Hindawi 01-01-2022 Hindawi Limited Hindawi-Wiley
Subjects:	Bifurcations Chaos theory Dynamic stability Dynamics Eigenvalues Equilibrium Initial conditions Liapunov exponents Oscillators Stability analysis Symmetry
Online Access:	Get full text
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Summary:	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.
ISSN:	1076-2787 1099-0526
DOI:	10.1155/2022/9345036