Eur. Phys. J. Special Topics 229, 1155-1161 (2020)
https://doi.org/10.1140/epjst/e2020-900240-1

Regular Article

Simple megastable oscillators with different types of attractors; tori, chaotic and hyperchaotic ones

¹ School of Electronic Engineering, Changzhou College of Information Technology, Wujin 213164, P.R. China
² Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia
³ Department of Computer Science and Engineering, University of Kurdistan-Hewler, Erbil, Iraq
⁴ Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar

^a e-mail: rkarthiekeyan@gmail.com

Received: 29 October 2019
Received in final form: 29 November 2019
Published online: 26 March 2020

Abstract

Coexistence of attractors with different or same type, multistability, is a complex behavior in nonlinear systems. This feature makes these systems applicable but difficult to control. Besides multistability, some new systems show megastability, existence of infinite number of coexisting attractors. In this paper, two simple megastable systems are presented in details. Moreover, these systems show hyperchaotic behavior which is rare in these types of systems as previously proposed systems mostly show chaos and periodic responses. To show the properties of these systems, nonlinear analytical tools are used in this article.