Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach

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

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100503-100503.doi: 10.1088/1674-1056/24/10/100503

Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach

魏伟

School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China

收稿日期:2015-03-02 修回日期:2015-05-06 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
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).

Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach

Wei Wei (魏伟)

School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China

Received:2015-03-02 Revised:2015-05-06 Online:2015-10-05 Published:2015-10-05
Contact: Wei Wei E-mail:weiweizdh@126.com
Supported by:
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).

摘要/Abstract

摘要：

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.

关键词: synchronization, Hindmarsh Rose neuron, chaos, adaptive control

Abstract:

Key words: synchronization, Hindmarsh Rose neuron, chaos, adaptive control

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators) 05.45.Pq (Numerical simulations of chaotic systems)

魏伟. Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach[J]. 中国物理B, 2015, 24(10): 100503-100503.

Wei Wei (魏伟). Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach[J]. Chin. Phys. B, 2015, 24(10): 100503-100503.

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Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach

Synchronization of coupled chaotic Hindmarsh Rose neurons: An adaptive approach

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