Eur. Phys. J. Special Topics 229, 1279-1288 (2020)
https://doi.org/10.1140/epjst/e2020-900097-0

Regular Article

A new hidden attractor hyperchaotic memristor oscillator with a line of equilibria

¹ Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi 537000, P.R. China
² Centre for Non-Linear Dynamics, Defense University, Bishoftu, Ethiopia
³ Ministry of Higher Education and Scientific Research, Baghdad, Iraq
⁴ Department of Information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah, Saudi Arabia
⁵ Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
⁶ Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

^a e-mail: phamvietthanh@tdtu.edu.vn

Received: 2 June 2019
Received in final form: 4 July 2019
Published online: 26 March 2020

Abstract

In this paper, a new hyperchaotic memristor oscillator is proposed. Different dynamical properties of the proposed system such as dissipativity, equilibrium points, and their stabilities, Lyapunov exponents and Kaplan-Yorke dimension are investigated. The system has a line of equilibria. Thus it belongs to the category of systems with hidden attractors. Investigation of the stability of the line of equilibria shows that the line is stable in some intervals and unstable in some others. Bifurcation analysis of the system reveals several coexisting attractors in some range of parameters which indicates multistability. Various coexisting attractors of the proposed system are studied.