Eur. Phys. J. Spec. Top. (2022) 231: 2143-2151
https://doi.org/10.1140/epjs/s11734-021-00368-7

Regular Article

Oyster oscillator: a novel mega-stable nonlinear chaotic system

¹ Centre for Nonlinear Systems, Chennai Institute of technology, Chennai, India
² Department of Biomedical Engineering, Amirkabir University of Technology, No.350, Hafez Ave, Valiasr Square, 159163-4311, Tehran, Iran
³ Information Technology Collage, Imam Ja’afar Al-Sadiq University, 10001, Baghdad, Iraq
⁴ Health Technology Research Institute, Amirkabir University of Technology, No.350, Hafez Ave, Valiasr Square, 159163-4311, Tehran, Iran
⁵ Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, 2713, Doha, Qatar

Received: 22 July 2021
Accepted: 6 December 2021
Published online: 24 December 2021

Abstract

Designing novel mega-stable chaotic oscillators has been a hot topic of research lately. In the current paper, a two-dimensional mega-stable oscillator is presented. The oscillator has a vast amount of coexisting limit cycles that spread on a surface. The forced version of this system is a novel nonlinear oscillator with an immense number of coexisting limit cycles and chaotic attractors. The dynamical features of this oscillator are examined by the assistance of equilibria study, the plot of the basin of attraction, bifurcation scheme, Lyapunov Exponents (LEs) perspective, and Kaplan-Yorke dimension.