Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach

doi:10.1088/1674-1056/24/10/100503

Abstract

In this paper, we consider the synchronization of chaotic Hindmarsh Rose (HR) neurons via a scalar control input. Chaotic HR neurons coupled with a gap junction are taken into consideration, and an active compensation mechanism-based adaptive control is employed to realize the synchronization of two HR neurons. As such an adaptive control is utilized, an accurate model of the system is of no necessity. Asymptotical synchronization of two HR neurons is guaranteed by theoretical results. Numerical results are also provided to confirm the proposed synchronization approach.

Keywords: synchronization Hindmarsh Rose neuron chaos adaptive control

Received: 02 March 2015
Revised: 06 May 2015
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund:

Project supported by the Beijing Natural Science Foundation, China (Grant No. 4132005), the National Natural Science Foundation of China (Grant No. 61403006), the Importation and Development of High-Caliber Talent Project of Beijing Municipal Institutions, China (Grant No. YETP1449), and the Project of Scientific and Technological Innovation Platform , China (Grant No. PXM2015_014213_000063).

Corresponding Authors: Wei Wei
E-mail: weiweizdh@126.com

Cite this article:

Wei Wei (魏伟) Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach 2015 Chin. Phys. B 24 100503

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