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Adaptive Function Projective Synchronization of Discrete Chaotic Systems with Unknown Parameters |
| WU Zhao-Yan1, FU Xin-Chu2 |
| 1College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022 2Department of Mathematics, Shanghai University, Shanghai 200444 |
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| Cite this article: |
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WU Zhao-Yan, FU Xin-Chu 2010 Chin. Phys. Lett. 27 050502 |
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Abstract Adaptive function projective synchronization of discrete-time chaotic systems with unknown parameters is considered. Based on the contraction mapping theorem, proper controllers and estimators are designed. Illustrative examples are provided to show the effectiveness of this method.
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| Keywords:
05.45.Xt
02.30.Jr
42.65.Tg
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Received: 17 March 2010
Published: 23 April 2010
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| PACS: |
05.45.Xt
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(Synchronization; coupled oscillators)
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02.30.Jr
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(Partial differential equations)
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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[1] Xi Y L, Wu Z Y and Fu X C 2009 Cha. Soli. Fract. 40 635
[2] Feng C F, Zhang Y and Wang Y H 2006 Chin. Phys. Lett. 23 1418
[3] Li G H 2007 Cha. Soli. Frac. 32 1786
[4] Creveling D R, Jeanne J M and Abarbanel H D I 2008 Phys. Lett. A 372 2043
[5] Yu W, Chen G, Cao J, Lü J and Parlitz U 2007 Phys. Rev. E 75 067201
[6] Ge Z M and Yang C H 2007 Physica D 231 87
[7] Yu D C, Righero M and Kocarev L 2006 Phys. Rev. Lett. 97 188701
[8] Zhou J and Lu J A 2007 Physica A 386 481
[9] Wu X Q 2008 Physica A 387 997
[10] Liao T L and Lin S H 1999 J. Franklin Institute 336 925
[11] Chang J F, Yang Y S, Liao T L and Yan J J 2008 Exp. Sys. with Appl. 35 2074
[12] Chen Y and Li X 2007 Z. Naturfor. 62a 22
[13] Lü J H, Han F L, Yu X H and Chen G R 2004 Automatica 40 1677
[14] Lü J H and Chen G R 2006 Int. J. Bifur. Chaos 16 775
[15] Vassiliadis D 1994 Physica D 71 319
[16] Yang Y, Ma X and Zhang H 2006 Cha. Soli. Frac. 28 244
[17] Chen G and Dong X 1998 From Chaos to Order (Singapore: World Scientific) chap 1 p 10
[18] Hitzl D L and Zele F 1985 Physica D 14 305 |
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