Eur. Phys. J. Special Topics 229, 2341–2348 (2020)
https://doi.org/10.1140/epjst/e2020-000003-6

Regular Article

A new megastable chaotic oscillator with singularity

¹ Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, P.R. China
² Department of Electrical Engineering, Golpayegan University of Technology, Golpayegan, Iran
³ Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
⁴ Health Technology Research Institute, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran
⁵ Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran
⁶ Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar

^a e-mail: sajadjafari83@gmail.com

Received: 14 January 2020
Accepted: 8 June 2020
Published online: 28 September 2020

Abstract

While multistability is known as a hot topic in nonlinear dynamics, two exceptional cases of multistable systems have been investigated less: extreme multistable systems and megastable systems are two newer categories of multistable dynamical systems. In this paper, for the first time, a chaotic megastable oscillator is introduced which has a singularity in its equations. The effect of the amplitude and frequency of forcing term on the dynamical behavior of the designed system is investigated. With the help of the bifurcation diagram and the Lyapunov exponents’ diagram, it is shown that the proposed oscillator can show a variety of dynamical behaviors, including limit cycle, torus, and strange attractor.