Inverse full state hybrid projective synchronization for chaotic maps with different dimensions
Inverse full state hybrid projective synchronization for chaotic maps with different dimensions作者机构:Laboratory of Mathematics Informatics and Systems (LAMIS) University of Larbi Tebessi Tebessa 12002 Algeria University del Salento Dipartimento Ingegneria Innovazione 73100 Lecce Italy
出 版 物:《Chinese Physics B》 (中国物理B(英文版))
年 卷 期:2016年第25卷第9期
页 面:251-256页
核心收录:
学科分类:07[理学] 0805[工学-材料科学与工程(可授工学、理学学位)] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学]
主 题:chaotic map full state hybrid projective synchronization inverse problem maps with different dimensions
摘 要:A new synchronization scheme for chaotic(hyperchaotic) maps with different dimensions is ***,given a drive system map with dimension n and a response system with dimension m,the proposed approach enables each drive system state to be synchronized with a linear response combination of the response system *** method,based on the Lyapunov stability theory and the pole placement technique,presents some useful features:(i) it enables synchronization to be achieved for both cases of n 〈 m and n 〉 m;(ii) it is rigorous,being based on theorems;(iii) it can be readily applied to any chaotic(hyperchaotic) maps defined to ***,the capability of the approach is illustrated by synchronization examples between the two-dimensional H′enon map(as the drive system) and the three-dimensional hyperchaotic Wang map(as the response system),and the three-dimensional H′enon-like map(as the drive system) and the two-dimensional Lorenz discrete-time system(as the response system).