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

摘要

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.