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
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.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2019