The Hopf cyclicity of Lienard systems

被引:13
作者
Han, MA [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
关键词
Hopf cyclicity; limit cycle; Lienard system;
D O I
10.1016/S0893-9659(00)00133-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the Hopf cyclicity for general systems on the plane and establish an algebraic method to compute the Hopf cyclicity for a general Lienard system. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:183 / 188
页数:6
相关论文
共 5 条
[1]  
BAUTIN N, 1954, T AM MATH SOC, V100, P181
[2]   THE NUMBER OF SMALL-AMPLITUDE LIMIT-CYCLES OF LIENARD EQUATIONS [J].
BLOWS, TR ;
LLOYD, NG .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1984, 95 (MAR) :359-366
[3]   Small-amplitude limit cycles in polynomial Lienard systems [J].
Christopher, Colin J. ;
Lloyd, Noel G. .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1996, 3 (02) :183-190
[4]   Cyclicity of a family of vector fields [J].
Cima, A ;
Gasull, A ;
Manosas, F .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (03) :921-937
[5]  
HAN M, CDSNS98312 GEORG I T