Eur. Phys. J. Special Topics 228, 2339-2349 (2019)
https://doi.org/10.1140/epjst/e2019-900055-9

Regular Article

A new memristive chaotic flow with a line of equilibria

¹ Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
² Ministry of Higher Education and Scientific Research, Baghdad, Iraq
³ NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
⁴ Department of Mathematics, Quaid-I-Azam University, 45320 Islamabad 44000 Pakistan
⁵ Department of Electrical Engineering, Golpayegan University of Technology, Golpayegan, Iran

^a e-mail: abdolmohammadi.hamidreza@gmail.com

Received: 9 March 2019
Received in final form: 24 April 2019
Published online: 14 October 2019

Abstract

A new 4-D memristive chaotic flow is proposed in this paper. Dynamical investigation of the proposed system shows some specific properties. The system has a line of equilibria which are unstable in some limited intervals and stable at other intervals. Investigating bifurcation diagram of the system shows an inverse period-doubling route to chaos. Also, different initiation in plotting bifurcation diagram shows its multistability. In some intervals of the parameter, two Lyapunov exponents of the system are positive, and the attractor is hyper-chaotic. However, in some other ranges of parameters, only one Lyapunov exponent is positive, and the attractor is chaotic. Basin of attraction of the system is studied which shows a vast region of attraction for the chaotic attractor. Entropy analysis of the system provides a viewpoint into the unpredictability of the system.