一种星形神经网络的混沌同步

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (02): 220-225.

一种星形神经网络的混沌同步

张文龙，于洪洁

（上海交通大学船舶海洋与建筑工程学院，上海 200240）

收稿日期:2012-03-19 出版日期:2013-02-28 发布日期:2013-02-28
基金资助:
国家自然科学基金青年基金资助项目(11002087)，高等学校博士学科点专项科研基金资助项目(20100073110007)

Chaotic Synchronization of a Type of Star-Shaped Neural Network

ZHANG Wen-Long, YU Hong-Jie

(School of Naval Architecture， Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)

Received:2012-03-19 Online:2013-02-28 Published:2013-02-28

摘要/Abstract

摘要： 通过理论研究和数值模拟，利用基于线性系统稳定准则(SC)的混沌同步方法，配置特殊的非线性项作为耦合函数，讨论一类HindmarshRose (HR)神经元构成的复杂星形网络的混沌同步问题.提供了确定网络中神经元之间的同步误差发展方程，给出使神经元网络达到混沌同步的耦合强度的参考值和取值范围.在不同耦合强度影响下，观察神经元的同步过程，总结出各个耦合强度因子对该神经网络同步稳定性过程的影响.

关键词: 混沌同步, H-R神经元, 星形网络, 基于线性系统稳定准则的混沌同步方法, 耦合强度

Abstract: This paper researched about the chaotic synchronization of star-shaped neural network which is made up of HindmarshRose (HR) neuron models through theoretical analysis and numerical simulation, by making use of stability criterion (SC) method, and configuring a special term as coupling function. Also the paper derived error development equations between different neuron models, on this basis. It estimated the coupling strength range in which the neural network can synchronize. By changing the coupling strength, the synchronization processes were observed and at last, we make a conclusion about the influence of chaotic synchronization which is determined by different coupling strength, was made.
Key words：

Key words: chaotic synchronization, H-R neuron, star-shaped network, stability criterion method, coupling strength

中图分类号:

TU 311

张文龙, 于洪洁. 一种星形神经网络的混沌同步[J]. 上海交通大学学报（自然版）, 2013, 47(02): 220-225.

ZHANG Wen-Long, YU Hong-Jie. Chaotic Synchronization of a Type of Star-Shaped Neural Network[J]. Journal of Shanghai Jiaotong University, 2013, 47(02): 220-225.

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