Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos

Author:

Chithra A.1,Fozin T. Fonzin23,Srinivasan K.4,Kengne E. R. Mache5,Kouanou A. Tchagna36,Mohamed I. Raja1

Affiliation:

1. B.S. Abdur Rahman Crescent Institute of Science and Technology, Vandalur, Chennai, India

2. Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology (FET), University of Buea, P.O. Box 63, Buea, Cameroon

3. Department of Training, Research and Innovation at InchTechs Sarl, Yaoundé, Cameroon

4. Department of Physics, Nehru Memorial College, Puthanampatti, P.O. Box 621 007, Tiruchirapalli, India

5. Unité de Recherche de Matière Condensée, d’Électronique et de Traitement de Signal (UR-MACETS), Department of Physics, Faculty of Sciences, University of Dschang, P.O. Box 67, Dschang, Cameroon

6. Department of Electrical and Electronic Engineering, College Of Technology (COT), University of Buea, P. O. Box 63, Buea, Cameroon

Abstract

This paper uncovers some striking and new complex phenomena in a memristive diode bridge-based Murali–Lakshmanan–Chua (MLC) circuit. These striking dynamical behaviors include the coexistence of multiple attractors and double-transient chaos. Also, period-doubling, chaos, crisis scenarios are observed in the system when varying the amplitude of the external excitation. Numerical simulation tools like phase portrait, cross-section basin of attraction, Lyapunov spectrum, bifurcation diagrams and time series are used to highlight the complex dynamical behaviors in the memristive system. Further, practical realizations of the circuit both in PSpice and real-laboratory measurements match well with the observed numerical simulations.

Funder

SERB project

SERB-DST Fast Track scheme for Young Scientists

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

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