Eur. Phys. J. Special Topics 228, 2287-2299 (2019)
https://doi.org/10.1140/epjst/e2019-900043-4

Regular Article

Analysis and electronic implementation of an absolute memristor autonomous Van der Pol-Duffing circuit

¹ Center for Non-Linear Dynamics, Defence University, Bishoftu, Ethiopia
² Institute of Energy, Mekelle University, Mekelle, Ethiopia
³ Research Unit of Automation and Applied Computer (RU-AIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134, Bandjoun, Cameroon
⁴ Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon
⁵ Electronics Engineering, Prathyusha Engineering College, Chennai, India

^a e-mail: stkingni@gmail.com

Received: 17 February 2019
Received in final form: 10 April 2019
Published online: 14 October 2019

Abstract

In this paper, a memristor-based chaotic circuit is built by replacing the nonlinear resistor of a unified Van der Pol-Duffing circuit by an ideal and active flux-controlled memristor with an absolute value nonlinearity. The equilibrium points of the mathematical model describing the proposed absolute memristor Van der Pol-Duffing circuit are determined and their stabilities are analyzed thank to the Routh-Hurwitz criteria. The numerical simulations reveal that the proposed absolute memristor circuit exhibits reverse period-doubling to chaos, bistable one-scroll chaotic attractors, double-scroll chaotic attractor, bistable periodic attractors and antimonotonicity phenomenon. Moreover the proposed absolute memristor circuit is implemented in PSIM software package. The results found using the PSIM software package have a good qualitative agreement with those found during the numerical simulations.