https://doi.org/10.1140/epjst/e2016-02610-3
Regular Article
Synchronisation of fractional-order time delayed chaotic systems with ring connection
1 School of Physics and Electronics, Central South University, Changsha 410083, China
2 School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China
a e-mail: kehui@csu.edu.cn
Received: 28 July 2015
Revised: 26 January 2016
Published online: 29 February 2016
In this paper, synchronisation of fractional-order time delayed chaotic systems in ring networks is investigated. Based on Lyapunov stability theory, a new generic synchronisation criterion for N-coupled chaotic systems with time delay is proposed. The synchronisation scheme is applied to N-coupled fractional-order time delayed simplified Lorenz systems, and the Adomian decomposition method (ADM) is developed for solving these chaotic systems. Performance analysis of the synchronisation network is carried out. Numerical experiments demonstrate that synchronisation realises in both state variables and intermediate variables, which verifies the effectiveness of the proposed method.
© EDP Sciences, Springer-Verlag, 2016
