Observer of a class of chaotic systems:An application to Hindmarsh–Rose neuronal model  

作　　者：罗润梓 张春华 

机构地区：[1]Department of Mathematics,Nanchang University

出　　处：《Chinese Physics B》2015年第3期95-100,共6页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11361043 and 61304161);the Natural Science Foundation of Jiangxi Province,China(Grant No.20122BAB201005);the Scientific and Technological Project Foundation of Jiangxi Province Education Office,China(Grant No.GJJ14156)

摘　　要：This paper first investigates the observer of a class of chaotic systems, and then discusses the synchronization between two identical Hindmarsh–Rose（HR） neuronal chaotic systems. Both the drive and response systems are assumed to have only one state variable available. By constructing proper observers, some novel criteria for synchronization are proposed via a scalar input. Numerical simulations are given to demonstrate the efficiency of the proposed approach.This paper first investigates the observer of a class of chaotic systems, and then discusses the synchronization between two identical Hindmarsh–Rose（HR） neuronal chaotic systems. Both the drive and response systems are assumed to have only one state variable available. By constructing proper observers, some novel criteria for synchronization are proposed via a scalar input. Numerical simulations are given to demonstrate the efficiency of the proposed approach.

关 键 词：chaotic system state observer scalar input 

分 类 号：O415.5[理学—理论物理]