|
|
|
Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable |
| Wang Xing-Yuan(王兴元)† and Zhang Yong-Lei(张永雷) |
| Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China |
|
|
|
|
Abstract In this paper, the modified projective synchronization (MPS) of a fractional-order hyperchaotic system is investigated. We design the response system corresponding to the drive system on the basis of projective synchronization theory, and determine the sufficient condition for the synchronization of the drive system and the response system based on fractional-order stability theory. The MPS of a fractional-order hyperchaotic system is achieved by transmitting a single variable. This scheme reduces the information transmission in order to achieve the synchronization, and extends the applicable scope of MPS. Numerical simulations further demonstrate the feasibility and the effectiveness of the proposed scheme.
|
Received: 07 May 2011
Revised: 11 June 2011
Accepted manuscript online:
|
|
PACS:
|
05.45.Jn
|
(High-dimensional chaos)
|
| |
05.45.Xt
|
(Synchronization; coupled oscillators)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Superior University Doctor Subject Special Scientific Research Foundation of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165). |
Cite this article:
Wang Xing-Yuan(王兴元) and Zhang Yong-Lei(张永雷) Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable 2011 Chin. Phys. B 20 100506
|
| [1] |
Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
|
| [2] |
Zhang H G, Huang W, Wang Z L and Chai T Y 2006 Phys. Lett. A 350 363
|
| [3] |
Zhang R X and Yang S P 2009 Chin. Phys. B 18 3295
|
| [4] |
Zhang H G, Ma D Z, Wang Z S and Feng J 2010 Acta Phys. Sin. 59 147 (in Chinese)
|
| [5] |
Gao M and Cui B T 2009 Chin. Phys. B 18 76
|
| [6] |
Meng J and Wang X Y 2007 Phys. Lett. A 369 294
|
| [7] |
Yang D S, Zhang H G, Zhao Y, Song C H and Wang Y C 2010 Acta Phys. Sin. 59 1562 (in Chinese)
|
| [8] |
Bagley R L and Calico R A 1991 J. Guid. Control Dyn. 14 304
|
| [9] |
Laskin N 2000 Physica A 287 482
|
| [10] |
Kusnezov D, Bulgal A and Dang G D 1999 Phys. Rev. Lett. 82 1136
|
| [11] |
Bhalekar S and Daftardar G V 2010 Commun. Non-linear Sci. Numer. Simul. 15 3536
|
| [12] |
Peng G J, Jiang Y L and Chen F 2008 Physica A 387 3738
|
| [13] |
Erjaee G H and Momani S 2008 Phys. Lett. A 372 2350
|
| [14] |
Shao S Q, Gao X and Liu X W 2007 Chin. Phys. 16 2612
|
| [15] |
Caputo M 1967 Geophys. J. Roy. Astronom. Soc. 13 529
|
| [16] |
Matignon D 1996 in: IMACS-SMC Proceedings Lille, France p. 963
|
| [17] |
Wang X Y and Wang M J 2008 Physica A 387 3751
|
| [18] |
Ramasubramanian K and Sriram M S 2000 Physica D 139 72
|
| [19] |
Gao T, Chen Z, Yuan Z and Yu D 2007 Chaos, Solitons and Fractals 33 922
|
| [20] |
Wu X J, Lu H T and Shen S L 2009 Phys. Lett. A 373 2329
|
| [21] |
Dou F Q, Sun J A and Lü K P 2009 Commun. Non-linear Sci. Numer. Simul. 14 552
|
| [22] |
Wang X Y, Liu R and Zhang N 2011 Commun. Theor. Phys. 55 617
|
| 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
|
|
|
