A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation

A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation Publisher

Parthasarathy S¹ ; Natiq H² ; Rajagopal K¹ ; Zavareh MN³ ; Nazarimehr F⁴

Source: International Journal of Bifurcation and Chaos Published:2023

Abstract

This paper introduces a new 3D conservative chaotic system. The oscillator preserves the energy over time, according to the Kaplan–Yorke dimension computation. It has a line of unstable equilibrium points that are investigated with the help of eigenvalues and also numerical analysis. The bifurcation diagrams and the corresponding Lyapunov exponents show various behaviors, for example, chaos, limit cycle, and torus with different parameters. Other dynamical properties, such as Poincare section and basin of attraction, are investigated. Additionally, an oscillator’s electrical circuit is designed and implemented to demonstrate its potentiality. © World Scientific Publishing Company.

Style	Citing Format
MLA	Parthasarathy S, et al.. "A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation." International Journal of Bifurcation and Chaos, vol. 33, no. 3, 2023, pp. -.
APA	Parthasarathy S, Natiq H, Rajagopal K, Zavareh MN, Nazarimehr F (2023). A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation. International Journal of Bifurcation and Chaos, 33(3), -.
Chicago	Parthasarathy S, Natiq H, Rajagopal K, Zavareh MN, Nazarimehr F. "A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation." International Journal of Bifurcation and Chaos 33, no. 3 (2023): -.
Harvard	Parthasarathy S et al. (2023) 'A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation', International Journal of Bifurcation and Chaos, 33(3), pp. -.
Vancouver	Parthasarathy S, Natiq H, Rajagopal K, Zavareh MN, Nazarimehr F. A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation. International Journal of Bifurcation and Chaos. 2023;33(3):-.
BibTex	@article{ author = {Parthasarathy S and Natiq H and Rajagopal K and Zavareh MN and Nazarimehr F}, title = {A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation}, journal = {International Journal of Bifurcation and Chaos}, volume = {33}, number = {3}, pages = {-}, year = {2023} }
RIS	TY - JOUR AU - Parthasarathy S AU - Natiq H AU - Rajagopal K AU - Zavareh MN AU - Nazarimehr F TI - A Conservative Chaotic Oscillator: Dynamical Analysis and Circuit Implementation JO - International Journal of Bifurcation and Chaos VL - 33 IS - 3 SP - EP - PY - 2023 ER -

Science Communicator Platform

Authors

Abstract