期刊文献+

A specific state variable for a class of 3D continuous fractional-order chaotic systems

A specific state variable for a class of 3D continuous fractional-order chaotic systems
原文传递
导出
摘要 A specific state variable in a class of 3D continuous fractional-order chaotic systems is presented. All state variables of fractional-order chaotic systems of this class can be obtained via a specific state variable and its (q-order and 2q-order) time derivatives. This idea is demonstrated by using several well-known fractional-order chaotic systems. Finally, a synchronization scheme is investigated for this fractional-order chaotic system via a specific state variable and its (q-order and 2q-order) time derivatives. Some examples are used to illustrate the effectiveness of the proposed synchronization method. A specific state variable in a class of 3D continuous fractional-order chaotic systems is presented. All state variables of fractional-order chaotic systems of this class can be obtained via a specific state variable and its (q-order and 2q-order) time derivatives. This idea is demonstrated by using several well-known fractional-order chaotic systems. Finally, a synchronization scheme is investigated for this fractional-order chaotic system via a specific state variable and its (q-order and 2q-order) time derivatives. Some examples are used to illustrate the effectiveness of the proposed synchronization method.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第7期102-106,共5页 中国物理B(英文版)
关键词 fractional-order chaotic systems state variable q-order and 2q-order time derivatives chaotic synchronization fractional-order chaotic systems, state variable, q-order and 2q-order time derivatives,chaotic synchronization
  • 相关文献

参考文献28

  • 1Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821.
  • 2Miliou A N, Antoniades I P and Stavrinides S G 2007 Nonlinear Anal. 8 1003.
  • 3Aguirre C, Campos D, Pascual P and Serrano E 2006 Neurocomputing 69 1116.
  • 4Gross N, Kinzel W, Kanter I, Rosenbluh M and Khaykovich L 2006 Opt. Commun. 267 464.
  • 5Li C G, Liao X and Yu J B 2003 Phys. Rev. E 68 067203.
  • 6Zhou T S and Li C P 2005 Physica D 212 111.
  • 7Li C P, Deng W H and Xu D L 2006 Physica A 360 171.
  • 8Wang J W, Xiong X H and Zhang Y 2006 Physica A 370 279.
  • 9Yan J P and Li C P 2007 Chaos, Solitons and Fractals 32 725.
  • 10Li C P and Yan J P 2007 Chaos, Solitons and Fractals 32 751.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部