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Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems |
Jia Li-Xin(贾立新), Dai Hao(戴浩)† , and Hui Meng(惠萌) |
State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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Abstract This paper focuses on the synchronisation between fractional-order and integer-order chaotic systems. Based on Lyapunov stability theory and numerical differentiation, a nonlinear feedback controller is obtained to achieve the synchronisation between fractional-order and integer-order chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method.
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Received: 27 January 2010
Revised: 04 June 2010
Accepted manuscript online:
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PACS:
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02.60.Jh
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(Numerical differentiation and integration)
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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Cite this article:
Jia Li-Xin(贾立新), Dai Hao(戴浩), and Hui Meng(惠萌) Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems 2010 Chin. Phys. B 19 110509
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[1] |
Dadas S and Momeni H R 2009 Chaos, Solitons and Fractals 42 3140
|
[2] |
Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
|
[3] |
Chen F X and Zhang W D 2007 Chin. Phys. 16 937
|
[4] |
Li J F, Li N, Liu Y P and Gan Y 2009 Acta Phys. Sin. 58 779 (in Chinese)
|
[5] |
Wang X Y and Meng J 2008 Acta Phys. Sin. 57 726 (in Chinese)
|
[6] |
Chen M and Han Z 2003 Chaos, Solitons and Fractals 17 709
|
[7] |
Ott E F, Grebogi C and Yorke J A 1990 Phys. Rev. Lett. 64 1196
|
[8] |
Li W L and Song Y Z 2008 Phys. Rev. Lett. 57 51
|
[9] |
Cai G L, Zheng S and Tian L X 2008 Chin. Phys. B 17 2412
|
[10] |
Zhang R X, Yang Y and Yang S P 2009 Acta Phys. Sin. 58 6039 (in Chinese)
|
[11] |
Kuntanapreeda S 2009 Phys. Lett. A 373 2837
|
[12] |
Lorenz E N 1963 J. Atmos. Sci. 20 131
|
[13] |
L"u J H and Chen G R 2002 Int. J. Bifurc. Chaos 12 659
|
[14] |
Liu C X, Liu T, Liu L and Liu K 2004 Chaos, Solitons and Fractals 22 1031
|
[15] |
Hartley T T, Lorenzo C F and Qammer H K 1995 IEEE 42 485
|
[16] |
Zhu H, Zhou S B and He Z S 2009 Chaos, Solitons and Fractals 41 2733
|
[17] |
Zhang R X and Yang S P 2008 Acta Phys. Sin. 57 6852 (in Chinese)
|
[18] |
Wu X J, Li J and Chen G R 2008 Journal of the Franklin Institute 345 392
|
[19] |
Hu J and Zhang Q J 2008 Chin. Phys. B 17 503
|
[20] |
Gao M and Cui B T 2009 Chin. Phys. B 18 76
|
[21] |
Min F H and Wang Z Q 2007 Acta Phys. Sin. 56 6238 (in Chinese)
|
[22] |
Deng W H and Li C P 2005 Physica A 353 61
|
[23] |
Wang F Q and Liu C X 2006 Acta Phys. Sin. 55 3922 (in Chinese)
|
[24] |
Ahmad W M and Sprott J C 2003 Chaos, Solitons and Fractals 16 339 endfootnotesize
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