New results for exponential synchronization of linearly coupled ordinary differential systems

doi:10.1088/1674-1056/26/5/050503

中国物理B ›› 2017, Vol. 26 ›› Issue (5): 50503-050503.doi: 10.1088/1674-1056/26/5/050503

New results for exponential synchronization of linearly coupled ordinary differential systems

Ping Tong(童评), Shi-Hua Chen(陈士华)

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

收稿日期:2016-11-14 修回日期:2017-02-03 出版日期:2017-05-05 发布日期:2017-05-05
通讯作者: Shi-Hua Chen E-mail:shcheng@whu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61273215).

New results for exponential synchronization of linearly coupled ordinary differential systems

Ping Tong(童评), Shi-Hua Chen(陈士华)

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2016-11-14 Revised:2017-02-03 Online:2017-05-05 Published:2017-05-05
Contact: Shi-Hua Chen E-mail:shcheng@whu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61273215).

摘要/Abstract

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.

关键词: exponential synchronization, linearly coupled, ordinary differential systems, QUAD condition

Abstract:

Key words: exponential synchronization, linearly coupled, ordinary differential systems, QUAD condition

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.-a (Nonlinear dynamics and chaos)

童评, 陈士华. New results for exponential synchronization of linearly coupled ordinary differential systems[J]. 中国物理B, 2017, 26(5): 50503-050503.

Ping Tong(童评), Shi-Hua Chen(陈士华). New results for exponential synchronization of linearly coupled ordinary differential systems[J]. Chin. Phys. B, 2017, 26(5): 50503-050503.

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New results for exponential synchronization of linearly coupled ordinary differential systems

New results for exponential synchronization of linearly coupled ordinary differential systems

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