New results for exponential synchronization of linearly coupled ordinary differential systems  

作　　者：童评 陈士华 

机构地区：[1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

出　　处：《Chinese Physics B》2017年第5期82-89,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.61273215)

摘　　要：This paper investigates the exponential synchronization of linearly coupled ordinary differential systems. The intrinsic nonlinear dynamics may not satisfy the QUAD condition or weak-QUAD condition. First, it gives a new method to analyze the exponential synchronization of the systems. Second, two theorems and their corollaries are proposed for the local or global exponential synchronization of the coupled systems. Finally, an application to the linearly coupled Hopfield neural networks and several simulations are provided for verifying the effectiveness of the theoretical results.This paper investigates the exponential synchronization of linearly coupled ordinary differential systems. The intrinsic nonlinear dynamics may not satisfy the QUAD condition or weak-QUAD condition. First, it gives a new method to analyze the exponential synchronization of the systems. Second, two theorems and their corollaries are proposed for the local or global exponential synchronization of the coupled systems. Finally, an application to the linearly coupled Hopfield neural networks and several simulations are provided for verifying the effectiveness of the theoretical results.

关 键 词：ordinary exponential linearly synchronized intrinsic satisfy symmetric infinitely manifold proof 

分 类 号：O175[理学—数学]