Eur. Phys. J. Special Topics 229, 1231-1244 (2020)
https://doi.org/10.1140/epjst/e2020-900195-4

Regular Article

Switching synchronisation of a 3-D multi-state-time-delay chaotic system including externally added memristor with hidden attractors and multi-scroll via sliding mode control

Department of Electrical Engineering, National Institute of Technology Silchar, Silchar, India

^a e-mail: nalini6111@gmail.com

Received: 16 September 2019
Received in final form: 15 October 2019
Published online: 26 March 2020

Abstract

A 3-D multi-state-time-delayed chaotic system consisting of a externally added memristive element is proposed in this research work. The proposed system belongs to the family of hidden attractor and displaying multi-scroll behaviours. Multi-state-time-delayed chaotic system with multi-scroll is not seen in the literature. The chaotic behaviour of the proposed time-delayed chaotic system is investigated thoroughly by bifurcation analysis, phase-plane analysis, and instantaneous phase plot. Finally, a sliding mode controller is proposed for switching synchronisation between the two identical proposed multi-state-time-delayed chaotic systems including externally added memristor with disturbances.The simulation results confirm the claim of the paper.