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《Mathematics in Practice and Theory》 2007-24
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The Existence and Uniqueness of the Limit Cycles for a Class of the Higher Degree Polynomial Systems

CAO Bin1, WANG Xiao-xia1, HE Zu-guo2(1.School of Science,Beijing Jiaotong University,Beijing 100044,China)(2.School of Science,Beijing Univ.of Posts.and Telecomm,Beijing 100876, China)  
We transform a class of the higher degree polynomial system into the generalized Liénard system and discuss the existence of limit cycles for this system by using the abundant results of the generalized Liénard system.The results of relevant reference are generalized.
【Fund】: 北京市自然科学基金资助项目(4052022)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 2 Hits
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 CAO Bin,WANG Xiaoxia(School of Science,Beijing Jiaotong University,Beijing 100044,China);Existence of Limit Cycles for A Class of Higher Degree Polynomial Systems[J];Journal of Beijing Jiaotong University;2008-03
2 Li Wantong (Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081);A Study on the Limit Cycles of Quadric System(III)[J];Journal of Beijing Institute of Technology;1993-01
3 LI Jiao-rui~1 XU Wei~2 1.School of Statistics,Xi'an University of Finance and Economics,Xi'an 710061,China; 2.Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072,China;Optimal control of stochastic non-linear dynamical price model[J];Pure and Applied Mathematics;2008-02
4 WU Xing-jie (Institute of Mathematics and Numerical Science, Guilin University of Electronic Technology, Gulin, Guangxi, 541004);The Stability and the Number of Local Limit Cycle from Poincaré Bifurcation of a Family Liénard System[J];Journal of Hunan University of Arts and Science(Science and Technology);2007-04
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6 WU Hai-tao (Guilin University of Electronics and Technology,Guilin 541004;Yangtze University,Jingzhou 434023)SONG Shu-gang,XU Jian-feng (Yangtze University,Jingzhou 434023);Poincare Bifurcation of Integrable System with Double Center Perturbed by Cubic Homogeneous Polynomial[J];Journal of Yangtze University(Natural Science Edition) Sci & Eng V;2008-03
7 TAN Xin xin~(*1),FENG En min~2,SHEN Bo qian~3(1.College of Inf.Eng.,Dalian Univ.,Dalian 116622,China;2.Dept.of Appl.Math.,Dalian Univ.of Technol.,Dalian 116024,China;3.Dept.of Math.,Liaoning Norm.Univ.,Dalian 116029,China);Hopf bifurcation of a class of epidemic mathematical model[J];Journal of Dalian University of Technology;2006-01
8 ZHAO Jian-tang1,2,CAO Huai-xin1(1.College of Math.and Information Science,Shaanxi Normal Universtiy,Xi′an 710062,China;2.Department of Mathematics,Xianyang Normal University,Xianyang,Shaanxi 712000,China);Qualitative analysis of a class of cubic systems with global center[J];Basic Sciences Journal of Textile Universities;2008-03
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【Co-references】
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1 Han Maoan;SEVERAL DISCRIMINATING THEOREMS FOR PERIODIC SOLUTIONS OF AUTONOMOUS SYSTEMS IN THE PLANE[J];Journal of Nanjing University(Natural Sciences);1985-02
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【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Han Maoan;SEVERAL DISCRIMINATING THEOREMS FOR PERIODIC SOLUTIONS OF AUTONOMOUS SYSTEMS IN THE PLANE[J];Journal of Nanjing University(Natural Sciences);1985-02
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