Title: Synchronisation of fractional dynamical chaotic systems with several slaves

Authors: Mohsen Farmani Ardehaei; Mohammad Hadi Farahi; Sohrab Effati

Addresses: Department of Applied Mathematics , Ferdowsi University of Mashhad, Mashhad, 00985, Iran ' Department of Applied Mathematics , Ferdowsi University of Mashhad, Mashhad, 00985, Iran ' Department of Applied Mathematics , Ferdowsi University of Mashhad, Mashhad, 00985, Iran

Abstract: In this paper, a synchronisation of dynamical chaotic systems in fractional order using active control is considered. A novel back-stepping approach is proposed to design an active control and a Lyapunov function. This method is an approach that interlaces the design of active control with the choice of a Lyapunov function. Based on stability theorems in fractional calculus, analysis of stability is performed for the proposed method. Numerical results illustrate the effectiveness of the method.

Keywords: synchronisation; chaotic systems; fractional calculus; chaotic synchronisation; Lyapunov function; stability; active control.

DOI: 10.1504/IJDSDE.2022.128123

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.6, pp.510 - 526

Accepted: 06 Dec 2021
Published online: 06 Jan 2023 *

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