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A novel study for impulsive synchronization of fractional-order chaotic systems |
Liu Jin-Gui (刘金桂) |
Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China |
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Abstract The stability of impulsive fractional-order systems is discussed. A new synchronization criterion of fractional-order chaotic systems is proposed based on the stability theory of impulsive fractional-order systems. The synchronization criterion is suitable for the case of the order 0 < q ≤ 1. It is more general than those of the known results. Simulation results are given to show the effectiveness of the proposed synchronization criterion.
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Received: 04 October 2012
Revised: 08 December 2012
Accepted manuscript online:
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PACS:
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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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Fund: Project supported by Scientific Research Foundation of Huaiyin Institute of Technology (Grant No. HGA1102). |
Corresponding Authors:
Liu Jin-Gui
E-mail: liujg2004@126.com
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Cite this article:
Liu Jin-Gui (刘金桂) A novel study for impulsive synchronization of fractional-order chaotic systems 2013 Chin. Phys. B 22 060510
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[1] |
Diethelm K and Ford N J 2002 J. Math. Anal. Appl. 265 229
|
[2] |
Deng W H 2010 Nonlinear Anal.: TMA 272 1768
|
[3] |
Lu J G and Chen G R 2006 Chaos, Solitons and Fractals 27 685
|
[4] |
Li C P and Peng G J 2004 Chaos, Solitons and Fractals 22 443
|
[5] |
Lu J G 2006 Phys. Lett. A 354 305
|
[6] |
Zhang W W, Zhou S B, Li H and Zhu H 2009 Chaos, Solitons and Fractals 42 1684
|
[7] |
Park J H 2009 Mod. Phys. Lett. B 23 1889
|
[8] |
Chen D L, Sun J T and Huang C S 2006 Chaos, Solitons and Fractals 28 213
|
[9] |
Li G H, Zhou S P and Yang K 2006 Phys. Lett. A 355 326
|
[10] |
Zhang Q J and Lu J A 2008 Phys. Lett. A 372 1416
|
[11] |
Chen Y, Chen X X and Gu S S 2007 Nonlinear Anal. 66 1929
|
[12] |
Li G H 2009 Chaos, Solitons and Fractals 41 2630
|
[13] |
Wang S G and Yao H X 2011 Chin. Phys. B 20 090513
|
[14] |
Haeri M and Dehghani M 2006 Phys. Lett. A 356 226
|
[15] |
Liu X Z 2009 Nonlinear Anal. 71 1320
|
[16] |
Wang X Y, Zhang Y L, Lin D and Zhang N 2011 Chin. Phys. B 20 030506
|
[17] |
Zhong Q S, Bao J F, Yu Y B and Liao X F 2008 Chin. Phys. Lett. 25 2812
|
[18] |
Ma T D, Jiang W B and Fu J 2012 Acta Phys. Sin. 61 090503 (in Chinese)
|
[19] |
Fu J, Yu M and Ma T D 2011 Chin. Phys. B 20 120508
|
[20] |
Hu T C, Qian D L and Li C P 2009 Comm. Appl. Math. Comput. 23 97
|
[21] |
Plaat O 1971 Ordinary Differential Equations (San Francisco: Holden-Day) pp. 275-279
|
[22] |
Lakshmikantham V, Bainov D D and Simeonov P S 1989 Theory of Impulsive Differential Equations (Singapore: World Scientific) pp. 105-108
|
[23] |
Deng W H 2007 J. Comput. Phys. 227 1510
|
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