|
|
Modified scaling function projective synchronization of chaotic systems |
Xu Yu-Hua(徐玉华)a)b)†, Zhou Wu-Neng(周武能)c), and Fang Jian-An(方建安)c) |
a Department of Mathematics and Finance, Yunyang Teachers' College, Shiyan 442000, China; b Computer School of Wuhan University, Wuhan 430079, China; b College of Information Science and Technology, Donghua University, Shanghai 201620, China |
|
|
Abstract This paper investigates a kind of modified scaling function projective synchronization of uncertain chaotic systems using an adaptive controller. The given scaling function in the new method can be an equilibrium point, a periodic orbit, or even a chaotic attractor in the phase space. Based on LaSalle's invariance set principle, the adaptive control law is derived to make the states of two chaotic systems function projective synchronized. Some numerical examples are also given to show the effectiveness of the proposed method.
|
Received: 25 January 2011
Revised: 06 April 2011
Accepted manuscript online:
|
PACS:
|
05.45.Gg
|
(Control of chaos, applications of chaos)
|
|
05.45.Xt
|
(Synchronization; coupled oscillators)
|
|
Cite this article:
Xu Yu-Hua(徐玉华), Zhou Wu-Neng(周武能), and Fang Jian-An(方建安) Modified scaling function projective synchronization of chaotic systems 2011 Chin. Phys. B 20 090509
|
[1] |
Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
|
[2] |
Zhang H B, Yu Y B and Zhang J 2010 Chin. Phys. B bf19 080509-1
|
[3] |
Cao J, Wang Z and Sun Y 2007 Physica A 385 718
|
[4] |
Cao J and Li L 2009 Neural Networks 22 335
|
[5] |
He W and Cao J 2009 Chaos 19 013118
|
[6] |
Lu J, Cao J and Daniel W C 2008 IEEE Trans. Circuits Syst. I 55 1347
|
[7] |
Li W L and Song Y Z 2008 Phys. Rev. Lett. 57 51
|
[8] |
Hu J B, Han Y and Zhao L D 2009 Acta Phys. Sin. 58 1441 (in Chinese)
|
[9] |
Zhang R X, Yang Y and Yang S P 2009 Acta Phys. Sin. 58 6039 (in Chinese)
|
[10] |
Kuntanapreeda S 2009 Phys. Lett. A 373 2837
|
[11] |
Zou Y L and Zhu J 2006 Acta Phys. Sin. 55 1965 (in Chinese)
|
[12] |
Wu D and Li J 2010 Chin. Phys. B 19 120505
|
[13] |
Zhang R and Xu Z 2010 Chin. Phys. B 19 120511
|
[14] |
Lü L, Cai Y and Luan L 2010 Chin. Phys. B 19 080506
|
[15] |
Zhang R X and Yang S P 2008 Acta Phys. Sin. 57 4073 (in Chinese)
|
[16] |
Zhou P and Cao Y X 2010 Chin. Phys. B 19 100507
|
[17] |
Lü J H and Chen G R 2002 Int. J. Bifurcat. Chaos 12 659
|
[18] |
Ito K 1980 Earth Planet. Sci. Lett. 51 451
|
[19] |
Chen G R and Ueta T 1999 Int. J. Bifurcat. Chaos 9 1465
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|