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分数阶混合光学系统的混沌与混沌同步

Chaos and Synchronization in Fractional-order Hybrid Optical System
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摘要 利用分数阶Routh-Hurwitz条件研究混合光学系统平衡点的局部稳定性;利用分数阶系统混沌的必要条件得到该系统存在混沌的最小分数阶;采用积极控制的方法实现系统混沌同步,并通过数值模拟证明其结果的正确性. Using the fractional order Routh-Hurwitz conditions research of hybrid optical system local stability of equilibrium points; the use of fractional order chaotic conditions necessary existence of chaotic minimum fractional; through the active control method to realize th synchronization, and through numerical simulation prove the correctness of the results. and the for the e chaos
作者 崔莉
出处 《合肥学院学报(自然科学版)》 2012年第4期16-19,共4页 Journal of Hefei University :Natural Sciences
关键词 混合光学系统 分数阶Routh-Hurwitz条件 混沌 混沌同步 驱动-响应控制 积极控制 hybrid optical system fractional Routh-I-Iurwitz conditions chaos chaos synchronization drive-response control active control
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参考文献10

  • 1Ben Adda F. Geometric Interpretation of The Fractional Derivative[J]. J Fract Calc,1997,11 :21-52.
  • 2Caputo M. Linear Models of Dissipation Whose Q is Almost frequency Independent-II[ J]. Geophys J R Astron Soc, 1967,13:529-539.
  • 3El-Sayed A M A, El 了 Mesiry A E M,El - Saka H A A. On The Fractional-order Logistic Equation [ J ]. Appl Math Lett,2007,20:817-823.
  • 4Grigorenko I,Grigorenko E. Chaotic Dynamics of The Fractional Lorenz System[ J]. Phys Rev Lett,2003 ,91 :034101.
  • 5Li C G,Liao X F,Yu J B. Synchronization of Fractional Order Chaotic System[ J]. Phys Rev E,2003 ,68 :067203.
  • 6Li C G, Chen G. Chaos in The Fractional Order Chen System and Its Control[ J]. Chaos Soliton Fract,2004,22;549-544.
  • 7Matouk A E. Chaos, Feedback Control and Synchronization of a Fractional-order Modified Autonomous Van der Pol-DuffingCircuit[ J]. Commun Nonlinear Sci Numer Simulat,2011,16 :975-986.
  • 8Novio C, Gutierrez V. Fractionalization of Optical Beams[ J]. I Planar Analysis Opt Lett,2007 ,32 : 1521-1523.
  • 9Namias V. The Fractional Fourier Transform and Its Application in Quantum Mechanics[ J]. J Inst Math Appl, 1980,25 :241-265.
  • 10Ozaktas H, Mendlovic D. Fractional Fourier Transforms and Their Optical Implementation[ J]. J Opt Soc Am: A, 1993 ,10:1975-1981.

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