Stabilization and Synchronization of Discrete-time Fractional Chaotic Systems with Non-identical Dimensions  

作　　者：Samir BENDOUKHA 

机构地区：[1]Department of Electrical Engineering,College of Engineering,Yanbu,Taibah University,Saudi Arabia

出　　处：《Acta Mathematicae Applicatae Sinica》2021年第3期523-538,共16页应用数学学报（英文版）

摘　　要：This paper investigates the stabilization and synchronization of two fractional chaotic maps proposed recently,namely the 2D fractional Hénon map and the 3D fractional generalized Hénon map.We show that although these maps have non–identical dimensions,their synchronization is still possible.The proposed controllers are evaluated experimentally in the case of non–identical orders or time–varying orders.Numerical methods are used to illustrate the results.

关 键 词：discrete chaos fractional discrete calculus Hénon based maps stabilization synchronization 

分 类 号：O415.5[理学—理论物理]