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《Journal of Vibration and Shock》 2007-01
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CHAOS CONTROL ANALYSIS FOR MATHIEU EQUATION BY THREE METHODS

Li Xianfeng,Chu Yandong,Liu Xiaojun,Deng Jin(School of Mathematics,Physics & Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070)  
By means of numerical simulations,the authors study bifurcations and chaotic behaviors in nonlinear Mathieu equation.The route to chaos is revealed by global bifurcation graph.Phase diagrams,time response and power spectram are used to show dynamic behavior of a system.By selecting proper control parameters according to the bifurcation graphs,the chaotic motions of the system can be successfully converted to the stable periodic orbits after three methods which are coupled control method,x|x| control method and periodic exciting force one are used to control effectively chaotic behaviors of Mathieu equation.
【CateGory Index】: O322
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Wu Fengmin (Zhejiang University of Technology, Hangzhou 310014)Yang Huishan (Quanzhou Teaching College, Quanzhou 362000);CHAOS AND ITS CONTROLLING IN NONLINEAR MATHIEU'S EQUATION[J];Journal of Vibration and Shock;1998-03
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Zhang Xuefeng Li Huirong Pu Lichun (Mathematics and Physics Department, Panzhihua University, Sichuan, Panzhihua 617000);Numerical calculation and Simulated Technology in University Physics Teaching[J];Journal of Panzhihua University;2005-05
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7 Shen Yongjun~1,Yang Shaopu~1,Li Wei~2(1.School of Mechanical Engineering,Shijiazhuang Railway Institute,Shijiazhuang 050043,China;2.Department of City Construction of Gaocheng City,Gaocheng 052160,China);Review and Prospect of Nonlinear Dynamics for Gear System[J];Journal of Shijiazhuang Railway Institute;2005-04
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9 AN Yue-jun, SUN Chang-zhi (School of Electrical Engineering, Shenyang University of Technology, Shenyang 110023, China);Digital simulation of chaos phenomena in brushless thruster motor for deepwater robot[J];Journal of Shenyang University of Technology;2005-01
10 WU Jing-dong, LIU Chang-chun, ZHU Cheng-shi, YAN Li-qun(Shenyang Institute of Chemical Technology, Shenyang 110142, China);Pattern of Forced Duffing Equation with IHB Method[J];Journal of Shenyang Institute of Chemical Technology;2004-02
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1 Guo Xiaolei Cao Pingxiang (Nanjing Forestry University,Nanjing 210037,Jiangsu,China);The Study on the Self-excited Vibration of Circular Sawblades[A];[C];2007
2 Chen Liqun (Department of Mechanics,Shanghai University.Shanghai City Institute of Applied Mathematics and Mechanics Shanghai 200072);Chaotic Attitude Motion and Its Control of Magnetic Rigid Spacecraft in Euiptic Orbit[A];[C];2002
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【Co-references】
Chinese Journal Full-text Database 7 Hits
1 CHU Yan-dong,LI Xian-feng,ZHANG Jian-gang(School of Mathematics,Physics & Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);Chaos Controlling and Bifurcation of a Special Mathieu Function[J];Journal of Qingdao University(Natural Science Edition);2006-03
2 Min Fu-Hong 1)2) Xu Zhen-Yuan 2) Xu Wen-Bo 2) 1)(College of Electronic and Engineering,Nanjing Normal University,Nanjing 210042,China) 2)(School of Communication & Control Engineering,Southern Yangtze University,Wuxi 214036,China);Controlling chaos via x|x|[J];Acta Physica Sinica;2003-06
3 Cai Na~ 1) Jing Yuan-Wei~ 1) Zhang Si-Ying~ 1)2) 1)(College of Information Science and Engineering, Northeastern University, Shenyang 110004, China)2)(Institute of Complexity Science, Qingdao University, Qingdao 266071, China);Adaptive synchronization and anti-synchronization of two different chaotic systems[J];Acta Physica Sinica;2009-02
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