BIFURCATION OF LIMIT-CYCLES FROM QUADRATIC CENTERS

被引:21
作者
SHAFER, DS
ZEGELING, A
机构
[1] Mathematics Department, University of North Carolina, Charlotte
关键词
D O I
10.1006/jdeq.1995.1138
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Bifurcation of limit cycles from the class Q(3)(NH) of quadratic systems possessing centers is investigated. Bifurcation diagrams for various systems in this class are constructed, and are used to locate systems possessing a period annulus whose closure has cyclicity three. (C) 1995 Academic Press, Inc.
引用
收藏
页码:48 / 70
页数:23
相关论文
共 22 条
[1]  
Andronov A. A., 1973, QUALITATIVE THEORY 2
[2]  
Andronov A.A., 1973, THEORY BIFURCATIONS
[3]  
BAUTIN NN, 1962, AM MATH SOC TRANSL, V5, P396
[4]  
BOUTAT M, 1991, THESIS U BOURGOGNE
[5]  
CHERKAS LA, 1970, DIFF EQUAT, V6, P589
[6]   BIFURCATION OF LIMIT-CYCLES FROM QUADRATIC ISOCHRONES [J].
CHICONE, C ;
JACOBS, M .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 91 (02) :268-326
[7]   A QUADRATIC SYSTEM WITH A NONMONOTONIC PERIOD FUNCTION [J].
CHICONE, C ;
DUMORTIER, F .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 102 (03) :706-710
[8]  
Coppel W. A., 1988, DYNAMICS REPORTED, V2, P61
[9]  
GAVRILOV L, 1991, IN PRESS LIMIT CYCLE
[10]  
GAVRILOV L, LNIM, V1455, P160