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Liénard方程的原点为全局中心的判据 被引量:1

THE CRITERIA ABOUT THE GLOBAL CENTER OFTHE LIE′NARD EQUATION AT THE ORIGIN
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摘要 给出了Liénard方程的原点为全局中心和非全局中心的两个新的判别定理
机构地区 青岛大学数学系
出处 《曲阜师范大学学报(自然科学版)》 CAS 1999年第2期21-24,共4页 Journal of Qufu Normal University(Natural Science)
关键词 全局中心 林纳方程 原点 非全局中心 :Liénard equation global center
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参考文献2

  • 1叶彦谦等著..极限环论[M].上海:上海科学技术出版社,1984:442.
  • 2刘朝杰.The behaviour of the solutions of Lienard equation near the singular point[J].青岛大学学报:工程技术版,1997,2:12-12. 被引量:1

同被引文献11

  • 1Loud W.Behavior of the period of solutions of certain plane autonomous systems near centers[J].Contribution to Differential Equations,1964,3(1):21-36. 被引量:1
  • 2Pleshkan I.A new method of investigating the isochronicity of a system of two differential equations[J].Diff Equa,1969,5(4):796-802. 被引量:1
  • 3Christopher C,Devlin J.Isochronous centers in planar polynomial systems[J].SIAM J Math Anal,1997,28(1):162-177. 被引量:1
  • 4Chavarriga J,Giné J,García I.Isochronous centers of cubic systems with degenerate infinity[J].Differential Equations and Dynamical Systems,1997,7(1):49-66. 被引量:1
  • 5Chavarriga J,Grau M.Some open problems related to 16th Hilbert problem[J].Scientia(Series A:Mathematical Sciences),2003,9(1):1-26. 被引量:1
  • 6Chavarriga J,Sabatini M.A survey of isochronous centers[J].Qualitative theory of Dynamical Systems,1999,(1):1-70. 被引量:1
  • 7Chavarriga J,García I.Isochronous centers of cubic reversible systems[M].Lecture Note in Physics,Dynamical Systems,Plasmas and Gravitation,Springer-Verlag,1999,518:255-268. 被引量:1
  • 8Weinian Z,Xiaorong H,Zhenbing Z.Weak centers and bifurcation of critical periods in reversible cubic systems[J].Computers and Mathematics with Applications,2000,40(6-7):771-782. 被引量:1
  • 9Sabatini M.Charactering isochronous centers by Lie brackets[J].Differential Equations Dynam.Systems,1997,5(1):91-99. 被引量:1
  • 10Giné J,Grau M.Characterization of isochronous foci for planar analytic differential systems[J].Proc Roy Soc Edinburgh Sect A,2005,135(5):985-998. 被引量:1

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