A SIMPLE PROOF FOR THE UNICITY OF THE LIMIT-CYCLE IN THE BOGDANOV-TAKENS SYSTEM

被引:12
作者
LI, CZ
ROUSSEAU, C
WANG, X
机构
[1] BEIJING UNIV,DEPT MATH,BEIJING,PEOPLES R CHINA
[2] UNIV MONTREAL,DEPT MATH & STAT,MONTREAL H3C 3J7,QUEBEC,CANADA
[3] NANJING UNIV,DEPT MATH,NANJING,PEOPLES R CHINA
来源
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1990年 / 33卷 / 01期
关键词
D O I
10.4153/CMB-1990-015-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:84 / 92
页数:9
相关论文
共 19 条
[1]  
[Anonymous], 1977, DIFF EQUAT+
[2]  
Bogdanov R.I., 1981, SELECTA MATH SOVIET, V1, P373
[3]  
BOGDANOV RI, 1981, SEL MATH SOV, V1, P388
[4]  
Carr J., 1981, APPL CTR MANIFOLD TH
[5]  
CUSHMAN R, 1985, SPRINGER LECT NOTES, V1125, P87
[6]   GENERIC 3-PARAMETER FAMILIES OF VECTOR-FIELDS ON THE PLANE, UNFOLDING A SINGULARITY WITH NILPOTENT LINEAR PART - THE CUSP CASE OF CODIMENSION-3 [J].
DUMORTIER, F ;
ROUSSARIE, R ;
SOTOMAYOR, J .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1987, 7 :375-413
[7]  
Horozov E., 1979, TRUSDY SEM PETROV, V5, P163
[8]  
LI CZ, IN PRESS CAN J MATH
[9]  
MARDESIC P, 1988, NUMBER LIMIT CYCLES
[10]   ROTATED VECTOR FIELDS AND GLOBAL BEHAVIOR OF LIMIT CYCLES FOR A CLASS OF QUADRATIC SYSTEMS IN PLANE [J].
PERKO, LM .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 18 (01) :63-86