期刊文献+

无闭轨Lienard系统的拓扑分类(Ⅱ_2) 被引量:5

Topological classification of Lienard systems without closed orbits(Ⅱ_2)
下载PDF
导出
摘要 在Gauss球面上,讨论了Lienard系统的拓扑分类问题,分析了极限集的情况和可能的拓扑结构,最后证明了天闭轨Lienard系统有64种可能的不同拓扑结构. The problem of classification of Lienard systems is discussed on Gauss sphere.Their limit sets are studed. The results show that Lienard systems without closed orbits can have 64 possible different topo1ogical structures.
作者 王克
出处 《东北师大学报(自然科学版)》 CAS CSCD 1999年第4期14-18,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金!198710127
关键词 拓扑结构 β5结构 林纳系统 高斯球面 轨线 Gauss sphere topological structure β_5 structure
  • 相关文献

参考文献2

  • 1王克,东北师大学报,1999年,2期,1页
  • 2王克,东北师大学报,1998年,4期,1页

同被引文献41

  • 1蔡燧林.关于一类二次系统的极限环存在的估计一文的注记[J].浙江大学学报,1987,21(2):69-72.
  • 2VAN DER POL B.Surles oscillations de relaxation[J].The Philos Magazine,1926,7:978-992.
  • 3MURESAN M.Global attractivity without stability for Lienard type systems[J].Int J Math Sci,2001,27(2):91-98.
  • 4ALEKSANDROV A YU.On the stability of the vector Lienard equation with unsteady perturbations[J].(Russian)Sibirsk Mat Zh,1999,40(5):977-986.
  • 5HAN M,BI P,XIAO D.Bifurcation of limit cycles and sparatrix loops in singular Lienard systems[J].Chaos Solitons Fractals,2004,20(3):529-546.
  • 6GASULL A,GIACOMINI H.A new criterion for controlling the number of limit cycles of some generalizad Lienard equations[J].J Differential Equations,2002,185(1):54-73.
  • 7ABBAOUI L,BENDJEDDOU A.On the exact limit cycles for Lienard-type equation[J].Far East J Math Sci,2001,3(5):865-872.
  • 8GASULL A,TORREGROSA J.Small-amplitude limit cycles in Lienard systems via multiplicity[J].J Differential Equations,1999,159(1):186-211.
  • 9CHRISTOPHER C,LYNCH S.Small-amplitude limit cycle bifurcations for Lienard systems with quadratic or cubic damping or restoring forces[J].Nonlinearity,1999,12(4):1099-1112.
  • 10CAUBERGH M,DUMORTIER F.Hilbert's 16th problem for classical Lienard equations[J].J Differential Equations,2008,244:1359-1394.

引证文献5

二级引证文献4

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部