New results for exponential synchronization of linearly coupled ordinary differential systems

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

Abstract

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.

Keywords: exponential synchronization linearly coupled ordinary differential systems QUAD condition

Received: 14 November 2016
Revised: 03 February 2017
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund:

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

Corresponding Authors: Shi-Hua Chen
E-mail: shcheng@whu.edu.cn

Cite this article:

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

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