期刊文献+

一类分数阶混沌系统的投影同步研究

Projective Synchronization Study of Fractional Order Chaotic Systems
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摘要 针对一个三维分数阶混沌系统,分析了其动力学混沌行为,基于分数阶稳定性原理,设计合适的控制器,并利用Laplace变换实现了该系统的混沌投影同步.最后,借助数值仿真,验证了该结论的有效性和正确性. In view of a three-dimensional fractional order chaotic system,this paper analyzes its chaos dynamic behavior.A reasonable controller is designed by using the fractional stability theory.The problem of projective synchronization of the chaotic system is investigated based on the Laplace transform.At last,numerical simulations are used to illustrate the effectiveness and correctness of proposed synchronization method.
出处 《石家庄学院学报》 2015年第6期33-37,共5页 Journal of Shijiazhuang University
基金 国家自然科学基金(11302158 11302148) 天津职业技术师范大学研究生创新基金(YC14-14)
关键词 分数阶混沌系统 投影同步 控制器 fractional order chaotic system projective synchronization controller
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参考文献15

  • 1ORTIGUEIRA M D, MATORS C J, PIEDADE M S. Fractional Discretetime Signal Processing: Scale Conversion and Linear Prediction[J]. Nonlinear Dynamics, 2002,29 ( 1 ) : 173-190.
  • 2BAREENA R, DELASEN M. On the Sufficiently Small Sampling Period for the Convenient Tuning of Fractional Order Hold Circuit[J]. IEE Proceedings: Control Theory and Applications, 2003,150 (2) : 183-188.
  • 3ICHISE M, NAGAYANAGI Y, KOJIMA T. An Analog Simulation of Non-integer Order Transfer Functions for Analysis of Electrode Pro- cesses[J]. Journal of Electroanalytical Chemistry, 1971,33 (2) : 253-265.
  • 4PEEORA L M, CARROLL T L. Synchronization in Chaotic Systems[J]. Physical Review Letters, 1900,64 (8) : 821-827.
  • 5PARLITZ U, ERGZINGER S. Robust Communication Based Chaotic Spreading Sequence[J]. Physics Lett A, 1994,188 ( 1 ) : 146-150.
  • 6JIANG G P, TANG W K-S, CHEN G D. A Simple Global Synchronization Criterion for Coupled Chaotic Systems Chaos [J]. Chaos Soliton Fraet, 2003,15 : 925-935.
  • 7SHAN Liang, LI Jun, WANG Zhiquan. Generalized Synchronization of Unified Chaotic System and the Research of CSK [C]. Proceedings of the 8th ICARV. Washington: IEEE Computer Society, 2004 : 1928-1933.
  • 8MAWei WANGZheng-Ou.A New Chaotic Parameters Disturbance Annealing Neural Network for Solving Global Optimization Problems[J].Communications in Theoretical Physics,2003,39(4):385-392. 被引量:15
  • 9董俊,张广军,姚宏,王珏,李明阳,赵静波.异结构超混沌系统的完全同步与反相同步控制[J].空军工程大学学报(自然科学版),2012,13(5):90-94. 被引量:8
  • 10王兴元,孟娟.一类混沌神经网络的观测器广义投影同步设计[J].应用力学学报,2008,25(4):656-659. 被引量:4

二级参考文献39

  • 1E.A.Mayer, K. J. Cios, L. Berke & A. Vary(University of Toledo, Toledo, OH 43606, U. S. A.)(NASA Lewis Research Center, Cleveland, OH).Using Genetic Algorithms to Improve the Search of the Weight Space in Cascade-Correlation Neural Network[J].Journal of Systems Engineering and Electronics,1995,6(2):9-21. 被引量:1
  • 2王杰智,陈增强,袁著祉.一个新的混沌系统及其性质研究[J].物理学报,2006,55(8):3956-3963. 被引量:54
  • 3Pecora L M, Carroll T L. Synchronization of chaotic systems[J]. Phys Rev Lett, 1990, 64(8): 821-824.
  • 4Sundar S, Minai A A. Synchronization of randomly multi-plexed chaotic systems with applications to communication[J].Phys Rev Lett, 2000, 85(25); 5456-5459.
  • 5Feki M. An adaptive chaos synchronization scheme applied to secure communication[J]. Chaos, Solitons& Fractals, 2003. 18(1): 141-148.
  • 6Chen S, Lu J. Synchronization of an uncertain unified chaotic system via adaptive control[J]. Chaos, Solitons & Fractals, 2002,14(4): 643-647.
  • 7Huang D. Synchronization-based estimation of all parameters of chaotic systems from time series[J]. Phys Rev E, 2004, 69 (6): 067201.
  • 8Michael G R, Arkady S P, Jurgen K. Phase synchroni-zation of chaotic oscillators[J]. Phys Rev Lett, 1996, 76(11) : 1804- 1807.
  • 9Ho M C, Hung Y C, Chou C H. Phase and anti-phase synchronization of two chaotic systems by using active control[J].Phys Lett A, 2002, 296(1): 43-48.
  • 10Zhang X, Liao X, Li C. Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch[J].Chaos, Solitons & Fractals, 2005, 26(3): 845-854.

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