A new memductance-based fractional-order chaotic system and its fixed-time synchronisation

Through this manuscript, the intentions of the authors are to present a new memductance-based fractional-order chaotic system. The new chaotic system shows coexisting single to double wings at tractors for some typical values of initial conditions. Furthermore, a fixed-time convergence technique is applied for synchronisation between two identical proposed chaotic systems as the master and slave systems. This synchronisation technique is robust against bounded disturbances and parametric uncertainties. Through switching between synchronisation and anti-synchronisation, the performance of the algorithm is shown. The simulation results reveal the satisfactory performance of the algorithm. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper introduces a new memductance-based fractional-order chaotic system and demonstrates its characteristics under specific initial conditions. Synchronisation between two identical chaotic systems is achieved through fixed-time convergence technique, showing good robustness against disturbances and parametric uncertainties. Through switching between synchronisation and anti-synchronisation, the algorithm's performance is shown, with simulation results indicating satisfactory performance.