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The synchronization of a fractional order hyperchaotic system based on passive control 被引量：4

The synchronization of a fractional order hyperchaotic system based on passive control
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摘要 This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is realized, on the basis of the stability theorem for fractional order systems. Numerical simulations and circuitry simulations are presented to verify the analytical results. This paper investigates the synchronization of a fractional order hyperchaotic system using passive control. A passive controller is designed, based on the properties of a passive system. Then the synchronization between two fractional order hyperchaotic systems under different initial conditions is realized, on the basis of the stability theorem for fractional order systems. Numerical simulations and circuitry simulations are presented to verify the analytical results.
作者 吴朝俊 张彦斌 杨宁宁
机构地区 State Key Laboratory of Electrical Insulation and Power Equipment School of Electrical Engineering
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第6期100-106,共7页 中国物理B（英文版）
关键词 fractional order hyperchaos passive control numerical simulation circuitry simulation fractional order hyperchaos, passive control, numerical simulation, circuitry simulation
分类号 O415.5 [理学—理论物理] O231 [理学—运筹学与控制论]
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参考文献33

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同被引文献31

  • 1高心,虞厥邦.Chaos and chaotic control in a fractional-order electronic oscillator[J].Chinese Physics B,2005,14(5):908-913. 被引量：14
  • 2张成芬,高金峰,徐磊.分数阶Liu系统与分数阶统一系统中的混沌现象及二者的异结构同步[J].物理学报,2007,56(9):5124-5130. 被引量：33
  • 3Tiegang Gao,Guanrong Chen,Zengqiang Chen,Shijian Cang.??The generation and circuit implementation of a new hyper-chaos based upon Lorenz system(J)Physics Letters A . 2006 (1)
  • 4Yongguang Yu,Han-Xiong Li.??The synchronization of fractional-order R?ssler hyperchaotic systems(J)Physica A: Statistical Mechanics and its Applications . 2007 (5)
  • 5Varsha Daftardar-Gejji,Sachin Bhalekar.??Chaos in fractional ordered Liu system(J)Computers and Mathematics with Applications . 2009 (3)
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  • 7Chunguang Li,Guanrong Chen.Chaos in the fractional order Chen system and its control. Chaos Solitons Fractals . 2004
  • 8Ge S S,Wang C,Lee T H.Adaptive backstepping control of a class of chaotic systems. International Journal of Bifurcation and Chaos . 2000
  • 9A. S. HEGAZI,H. N. AGIZA,M. M. EL-DESSOKY.ADAPTIVE SYNCHRONIZATION FOR R?SSLER AND CHUA\’S CIRCUIT SYSTEMS. International Journal of Bifurcation and Chaos . 2002
  • 10C.G.Li,X.F.Liao,J.B.Yu.Synchronization of fractional order chaotic systems. Physical Review . 2003

引证文献4

二级引证文献6

Chinese Physics B
2011年 第6期

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