Global behavior of limit cycles in rotated vector fields

被引：12

作者：

Han, M ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 151卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1006/jdeq.1998.3508

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a general definition For rotated vector fields and establish certain new theorems for the global behavior of limit cycles in the family of rotated vector fields which generalize, improve or correct some known results. (C) 1999 Academic Press.

引用

页码：20 / 35

页数：16

共 50 条

[1] ROTATED VECTOR FIELDS AND GLOBAL BEHAVIOR OF LIMIT CYCLES FOR A CLASS OF QUADRATIC SYSTEMS IN PLANE
PERKO, LM
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 18 (01) : 63 - 86
[2] LIMIT-CYCLES AND ROTATED VECTOR FIELDS
DUFF, GFD
[J]. ANNALS OF MATHEMATICS, 1953, 57 (01) : 15 - 31
[3] On vector fields with prescribed limit cycles
Korchagin A.B.
[J]. Qualitative Theory of Dynamical Systems, 2005, 6 (2) : 217 - 232
[4] UNIQUENESS OF LIMIT CYCLES FOR QUADRATIC VECTOR FIELDS
Luis Bravo, Jose
Fernandez, Manuel
Ojeda, Ignacio
Sanchez, Fernando
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (01) : 483 - 502
[5] Limit cycles of linear vector fields on manifolds
Llibre, Jaume
Zhang, Xiang
[J]. NONLINEARITY, 2016, 29 (10) : 3120 - 3131
[6] On the number of limit cycles of planar quadratic vector fields
Fishkin, A. Yu.
[J]. DOKLADY MATHEMATICS, 2009, 80 (02) : 728 - 730
[7] Configurations of limit cycles and planar polynomial vector fields
Llibre, J
Rodríguez, G
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 198 (02) : 374 - 380
[8] On the number of limit cycles of planar quadratic vector fields
A. Yu. Fishkin
[J]. Doklady Mathematics, 2009, 80 : 728 - 730
[9] ON THE CLASSIFICATION OF GENERIC QUADRATIC VECTOR FIELDS WITH NO LIMIT CYCLES
Shi Songling
[J]. 中国科学院大学学报, 1986, (01) : 5 - 9
[10] ON THE CLASSIFICATION OF GENERIC QUADRATIC VECTOR FIELDS WITH NO LIMIT CYCLES
Shi Songling
[J]. 中国科学院研究生院学报, 1986, (01) : 5 - 9

← 1 2 3 4 5 →