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部分线性的分数阶混沌系统修正函数投影同步

杨叶红 肖剑 马珍珍

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部分线性的分数阶混沌系统修正函数投影同步

杨叶红, 肖剑, 马珍珍

Modified function projective synchronization for a class of partially linear fractional order chaotic systems

Yang Ye-Hong, Xiao Jian, Ma Zhen-Zhen
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  • 针对一类部分线性的分数阶混沌系统修正函数投影同步问题, 可通过单变量耦合构造出这类系统的响应系统, 从而提出修正函数投影同步的设计方法. 根据Routh-Hurwitz条件, 给出耦合部分线性系统实现修正函数投影同步的方法, 并设计了控制器. 该方法中控制器和误差动态方程的选择都是确定的, 理论分析和数值仿真都说明了该方法在部分线性的分数阶混沌系统中应用具有可行性和有效性.
    In this paper, a method of modified function projective synchronization for a class of partially linear fractional order chaotic systems is proposed. This kind of system can be constructed by single variable coupling response system. The modified function projective synchronization controller is designed by Routh-Hurwitz conditions. Theoretical analyses and numerical simulations of two chaotic systems verify the effectiveness of the proposed method.
    • 基金项目: 中央高校基本科研业务费(批准号:CQDXWL-2012-007)资助的课题.
    • Funds: Project supported by the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No. CQDXWL-2012-007).
    [1]

    Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

    [2]

    Liu J G, 2012 Chin. Phys. B 21 120506

    [3]

    Wang X Y, Meng J 2008 Acta Phys. Sin. 57 726 (in Chinese) [王兴元, 孟娟 2008 物理学报 57 726]

    [4]

    Lu J Q, Cao J D 2005 Chaos 15 043901

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    Liu J, Chen S H, Lu J A 2003 Acta Phys. Sin. 52 1595 (in Chinese) [刘杰, 陈士华, 陆君安 2003 物理学报 52 1595]

    [6]

    Sang J Y, Yang J, Yue L J 2011 Chin. Phys. B 20 080507

    [7]

    Wang X Y, He Y 2008 Phys. Rev. A 372 435

    [8]

    Wang X Y, Wang Y 2007 Acta Phys. Sin. 56 2498 (in Chinese) [王兴元, 王勇 2007 物理学报 56 2498]

    [9]

    Wang X Y, Zhang Y L 2011 Chin. Phys. B 20 100506

    [10]

    Wang X Y, Zhang X P, Ma C 2012 Nonlinear Dyn. 69 511

    [11]

    Yang X K, Cai L, Zhao X H, Feng C W 2010 Acta Phys. Sin. 59 3740 (in Chinese) [杨晓阔, 蔡理, 赵晓辉, 冯朝文 2010 物理学报 59 3740]

    [12]

    Li J F, Li N 2011 Acta Phys. Sin. 60 080507 (in Chinese) [李建芬, 李农 2011 物理学报 60 080507]

    [13]

    Deng W, Fang J, Wu Z J, Wu Y M 2012 Acta Phys. Sin. 61 140503 (in Chinese) [邓玮, 方洁, 吴振军, 吴艳敏 2012 物理学报 61 140503]

    [14]

    Zhou P, Ding R 2012 Indian J. Phys. 86 497

    [15]

    Zhou P, Zhu W 2011 Nonlinear Anal. B: Real World Appl. 12 811

    [16]

    Wang J A, Liu H P 2010 Acta Phys. Sin. 59 2264 (in Chinese) [王健安, 刘贺平 2010 物理学报 59 2264]

    [17]

    Mainieri R, Rehacek J 1999 Phys. Rev. Lett. 82 3042

    [18]

    Xu D, Li Z G 2002 Int. J. Bifur. Chaos 12 1395

    [19]

    Hu M F, Xu Z Y 2008 Nonlinear Anal. B: Real World Appl. 9 1253

    [20]

    Hu M F, Xu Z Y, Zhang R, Hu A H 2007 Phys. Lett. A 365 315

    [21]

    Matignon D 1996 In Computational Engineering in Systems and Application Multiconference Lille France 2 963

    [22]

    Ahmed E, El-Sayed A M A, Elsaka H A A 2007 J. Math. Anal. Appl. 325 542

    [23]

    Lu J, Zhou T, Zhang S 2002 Chaos Soliton. Fract. 14 529241

    [24]

    Benettin G, Galgani L, Strelcyn J M 1976 Phys. Rev. A 14 2338

  • [1]

    Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821

    [2]

    Liu J G, 2012 Chin. Phys. B 21 120506

    [3]

    Wang X Y, Meng J 2008 Acta Phys. Sin. 57 726 (in Chinese) [王兴元, 孟娟 2008 物理学报 57 726]

    [4]

    Lu J Q, Cao J D 2005 Chaos 15 043901

    [5]

    Liu J, Chen S H, Lu J A 2003 Acta Phys. Sin. 52 1595 (in Chinese) [刘杰, 陈士华, 陆君安 2003 物理学报 52 1595]

    [6]

    Sang J Y, Yang J, Yue L J 2011 Chin. Phys. B 20 080507

    [7]

    Wang X Y, He Y 2008 Phys. Rev. A 372 435

    [8]

    Wang X Y, Wang Y 2007 Acta Phys. Sin. 56 2498 (in Chinese) [王兴元, 王勇 2007 物理学报 56 2498]

    [9]

    Wang X Y, Zhang Y L 2011 Chin. Phys. B 20 100506

    [10]

    Wang X Y, Zhang X P, Ma C 2012 Nonlinear Dyn. 69 511

    [11]

    Yang X K, Cai L, Zhao X H, Feng C W 2010 Acta Phys. Sin. 59 3740 (in Chinese) [杨晓阔, 蔡理, 赵晓辉, 冯朝文 2010 物理学报 59 3740]

    [12]

    Li J F, Li N 2011 Acta Phys. Sin. 60 080507 (in Chinese) [李建芬, 李农 2011 物理学报 60 080507]

    [13]

    Deng W, Fang J, Wu Z J, Wu Y M 2012 Acta Phys. Sin. 61 140503 (in Chinese) [邓玮, 方洁, 吴振军, 吴艳敏 2012 物理学报 61 140503]

    [14]

    Zhou P, Ding R 2012 Indian J. Phys. 86 497

    [15]

    Zhou P, Zhu W 2011 Nonlinear Anal. B: Real World Appl. 12 811

    [16]

    Wang J A, Liu H P 2010 Acta Phys. Sin. 59 2264 (in Chinese) [王健安, 刘贺平 2010 物理学报 59 2264]

    [17]

    Mainieri R, Rehacek J 1999 Phys. Rev. Lett. 82 3042

    [18]

    Xu D, Li Z G 2002 Int. J. Bifur. Chaos 12 1395

    [19]

    Hu M F, Xu Z Y 2008 Nonlinear Anal. B: Real World Appl. 9 1253

    [20]

    Hu M F, Xu Z Y, Zhang R, Hu A H 2007 Phys. Lett. A 365 315

    [21]

    Matignon D 1996 In Computational Engineering in Systems and Application Multiconference Lille France 2 963

    [22]

    Ahmed E, El-Sayed A M A, Elsaka H A A 2007 J. Math. Anal. Appl. 325 542

    [23]

    Lu J, Zhou T, Zhang S 2002 Chaos Soliton. Fract. 14 529241

    [24]

    Benettin G, Galgani L, Strelcyn J M 1976 Phys. Rev. A 14 2338

计量
  • 文章访问数:  4977
  • PDF下载量:  587
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-05-02
  • 修回日期:  2013-06-03
  • 刊出日期:  2013-09-05

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