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Impulsive synchronisation of a class of fractional-order hyperchaotic systems |
| Wang Xing-Yuan(王兴元)†, Zhang Yong-Lei(张永雷), Lin Da(林达), and Zhang Na(张娜) |
| Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China |
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Abstract In this paper, an impulsive synchronisation scheme for a class of fractional-order hyperchaotic systems is proposed. The sufficient conditions of a class of integral-order hyperchaotic systems' impulsive synchronisation are illustrated. Furthermore, we apply the sufficient conditions to a class of fractional-order hyperchaotic systems and well achieve impulsive synchronisation of these fractional-order hyperchaotic systems, thereby extending the applicable scope of impulsive synchronisation. Numerical simulations further demonstrate the feasibility and effectiveness of the proposed scheme.
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Received: 18 October 2010
Revised: 10 November 2010
Accepted manuscript online:
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PACS:
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05.45.Jn
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(High-dimensional chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of the Institution of Higher Education of China (Grant No. 20070141014) and the Natural Science Foundation of Liaonin Province, China (No. 20082165). |
Cite this article:
Wang Xing-Yuan(王兴元), Zhang Yong-Lei(张永雷), Lin Da(林达), and Zhang Na(张娜) Impulsive synchronisation of a class of fractional-order hyperchaotic systems 2011 Chin. Phys. B 20 030506
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| [1] |
Podlubny I 1999 Fractional Differential Equations (New York: Academic Press) p340
|
| [2] |
Hilfer R 2001 Applications of Fractional Calculus in Physics (New Jersey: World Scientific) p463
|
| [3] |
Bagley R L and Calico R A 1991 J. Guid. Control. Dynam. 14 304
|
| [4] |
Laskin N 2000 Phys. A 287 482
|
| [5] |
Kusnezov D, Bulgac A and Dang G D 1999 Phys. Rev. Lett. 82 1136
|
| [6] |
Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
|
| [7] |
Zhang R X and Yang S P 2009 Chin. Phys. B 18 3295
|
| [8] |
Gao M and Cui B T 2009 Chin. Phys. B 18 76
|
| [9] |
Wang Y W, Guan Z H and Wang H O 2003 Phys. Lett. A 312 34
|
| [10] |
Wei Q L, Zhang H G, Liu D R and Zhao Y 2010 Acta Auto. Sin. 36 121
|
| [11] |
Xu C, Feng J W and Austin F 2009 Int. J. Nonlin. Sci. Num. 10 1517
|
| [12] |
Sheu L J, Tam L M and Lao S K 2009 Int. J. Nonlin. Sci. Num. 10 33
|
| [13] |
Shao S Q, Gao X and Liu X W 2007 Chin. Phys. 16 2612
|
| [14] |
Bhalekar S and Daftardar-Gejji V 2010 Commun. Nonlinear Sci. Numer. Simul. 11 3536
|
| [15] |
Peng G J, Jiang Y L and Chen F 2008 Phys. A 387 3738
|
| [16] |
Erjaee G H and Momani S 2008 Phys. Lett. A 372 2350
|
| [17] |
Yang Y S, Chang J F and Liao T L 2009 Int. J. Nonlin. Sci. Num. 10 1237
|
| [18] |
Yu Y G, Wen G G and Li H X 2009 Int. J. Nonlin. Sci. Num. 10 379
|
| [19] |
Gao T G, Chen Z Q, Yuan Z Z and Yu D C 2007 Chaos, Solitons and Fractals 33 922
|
| [20] |
Wu G C and He J H 2010 Nonlin. Sci. Lett. A 1 281
|
| [21] |
Haeri M and Dehghani M 2006 Phys. Lett. A 356 226
|
| [22] |
Wu X J, Lu H T and Shen S L 2009 Phys. Lett. A 373 2329 endfootnotesize
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