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

doi:10.1088/1674-1056/24/3/030503

Abstract 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.

Keywords: chaotic system state observer scalar input

Received: 29 June 2014
Revised: 15 September 2014
Accepted manuscript online:

PACS:

05.45.Gg

(Control of chaos, applications of chaos)

Fund: Project 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), and the Scientific and Technological Project Foundation of Jiangxi Province Education Office, China (Grant No. GJJ14156).

Corresponding Authors: Luo Run-Zi
E-mail: luo_rz@163.com

Cite this article:

Luo Run-Zi (罗润梓), Zhang Chun-Hua (张春华) Observer of a class of chaotic systems: An application to Hindmarsh-Rose neuronal model 2015 Chin. Phys. B 24 030503

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

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