Adaptive projective synchronization of a novel fractional-order hyperchaotic system

Darui Zhu; Ling Liu; Chongxin Liu; Xia Pang; Bingnan Yan

doi:10.1109/ICIEA.2014.6931274

Adaptive projective synchronization of a novel fractional-order hyperchaotic system

Darui Zhu
, Ling Liu
, Chongxin Liu
, Xia Pang
, Bingnan Yan

School of Electrical Engineering

Xi'an Jiaotong University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper analyzed the Lyapunov exponent characteristics of a novel fractional order hyperchaotic system with the asymmetric structure, analyzed the dynamic characteristics of the system, and then studied the adaptive projective synchronization control method. Through analyze the fractional order stability theory, a powerful synchronization scheme and the adaptive law of the unknown parameters are studied for achieving the adaptive projective synchronization. This control method realized adaptive completely selfsynchronization of the system with the unknown parameters. Numerical simulation results are further evidence that the proposed control strategy realizes the adaptive projective synchronization.

Original language	English
Title of host publication	Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	814-818
Number of pages	5
ISBN (Electronic)	9781479943166
DOIs	https://doi.org/10.1109/ICIEA.2014.6931274
State	Published - 20 Oct 2014
Event	9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014 - Hangzhou, China Duration: 9 Jun 2014 → 11 Jun 2014

Publication series

Name	Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014

Conference

Conference	9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014
Country/Territory	China
City	Hangzhou
Period	9/06/14 → 11/06/14

Keywords

adaptive projective synchronization
fractional order system
hyperchaotic system

Access to Document

10.1109/ICIEA.2014.6931274

Cite this

Zhu, D., Liu, L., Liu, C., Pang, X., & Yan, B. (2014). Adaptive projective synchronization of a novel fractional-order hyperchaotic system. In Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014 (pp. 814-818). Article 6931274 (Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICIEA.2014.6931274

Zhu, Darui ; Liu, Ling ; Liu, Chongxin et al. / Adaptive projective synchronization of a novel fractional-order hyperchaotic system. Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 814-818 (Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014).

@inproceedings{561703cdcd624487876c6b0ee13f53a3,

title = "Adaptive projective synchronization of a novel fractional-order hyperchaotic system",

abstract = "This paper analyzed the Lyapunov exponent characteristics of a novel fractional order hyperchaotic system with the asymmetric structure, analyzed the dynamic characteristics of the system, and then studied the adaptive projective synchronization control method. Through analyze the fractional order stability theory, a powerful synchronization scheme and the adaptive law of the unknown parameters are studied for achieving the adaptive projective synchronization. This control method realized adaptive completely selfsynchronization of the system with the unknown parameters. Numerical simulation results are further evidence that the proposed control strategy realizes the adaptive projective synchronization.",

keywords = "adaptive projective synchronization, fractional order system, hyperchaotic system",

author = "Darui Zhu and Ling Liu and Chongxin Liu and Xia Pang and Bingnan Yan",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014 ; Conference date: 09-06-2014 Through 11-06-2014",

year = "2014",

month = oct,

day = "20",

doi = "10.1109/ICIEA.2014.6931274",

language = "英语",

series = "Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "814--818",

booktitle = "Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014",

}

Zhu, D, Liu, L, Liu, C, Pang, X & Yan, B 2014, Adaptive projective synchronization of a novel fractional-order hyperchaotic system. in Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014., 6931274, Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014, Institute of Electrical and Electronics Engineers Inc., pp. 814-818, 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014, Hangzhou, China, 9/06/14. https://doi.org/10.1109/ICIEA.2014.6931274

Adaptive projective synchronization of a novel fractional-order hyperchaotic system. / Zhu, Darui; Liu, Ling; Liu, Chongxin et al.
Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 814-818 6931274 (Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Adaptive projective synchronization of a novel fractional-order hyperchaotic system

AU - Zhu, Darui

AU - Liu, Ling

AU - Liu, Chongxin

AU - Pang, Xia

AU - Yan, Bingnan

PY - 2014/10/20

Y1 - 2014/10/20

N2 - This paper analyzed the Lyapunov exponent characteristics of a novel fractional order hyperchaotic system with the asymmetric structure, analyzed the dynamic characteristics of the system, and then studied the adaptive projective synchronization control method. Through analyze the fractional order stability theory, a powerful synchronization scheme and the adaptive law of the unknown parameters are studied for achieving the adaptive projective synchronization. This control method realized adaptive completely selfsynchronization of the system with the unknown parameters. Numerical simulation results are further evidence that the proposed control strategy realizes the adaptive projective synchronization.

AB - This paper analyzed the Lyapunov exponent characteristics of a novel fractional order hyperchaotic system with the asymmetric structure, analyzed the dynamic characteristics of the system, and then studied the adaptive projective synchronization control method. Through analyze the fractional order stability theory, a powerful synchronization scheme and the adaptive law of the unknown parameters are studied for achieving the adaptive projective synchronization. This control method realized adaptive completely selfsynchronization of the system with the unknown parameters. Numerical simulation results are further evidence that the proposed control strategy realizes the adaptive projective synchronization.

KW - adaptive projective synchronization

KW - fractional order system

KW - hyperchaotic system

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U2 - 10.1109/ICIEA.2014.6931274

DO - 10.1109/ICIEA.2014.6931274

M3 - 会议稿件

AN - SCOPUS:84912142416

T3 - Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014

SP - 814

EP - 818

BT - Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014

Y2 - 9 June 2014 through 11 June 2014

ER -

Zhu D, Liu L, Liu C, Pang X, Yan B. Adaptive projective synchronization of a novel fractional-order hyperchaotic system. In Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 814-818. 6931274. (Proceedings of the 2014 9th IEEE Conference on Industrial Electronics and Applications, ICIEA 2014). doi: 10.1109/ICIEA.2014.6931274

Adaptive projective synchronization of a novel fractional-order hyperchaotic system

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