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Chin. Phys. B, 2017, Vol. 26(5): 050503    DOI: 10.1088/1674-1056/26/5/050503
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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
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      Published:  05 May 2017
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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