Investigations of bifurcations of limit cycles in Z2-equivariant planar vector fields of degree 5

被引：33

作者：

Li, JB ^{[1
]}

Chan, HSY

Chung, KW

机构：

[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[2] Kunming Univ Sci & Technol, Sch Sci, Kunming 650093, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 10期

关键词：

limit cycles; perturbed planar Hamiltonian systems; Hilbert's 16th problem; second bifurcation;

D O I：

10.1142/S0218127402005698

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some distributions of limit cycles of Z(2)-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 5 are investigated. These include examples of specific Z2-equivariant fields and Z(4)-equivariant fields having up to 23 limit cycles. The configurations of compound eyes are also obtained by using the bifurcation theory of planar dynamical systems and the method of detection functions.

引用

页码：2137 / 2157

页数：21

共 28 条

[1]

ABELL ML, 1994, MAPLE, V5

[2]

[Anonymous], MODERN MATH SERIES

[3]

[Anonymous], ACTA MATH SINICA

[4]

[Anonymous], P INT C FDN COMP MAT

[5]

[Anonymous], PI PITMAN RES NOTES

[6]

[Anonymous], ANN DIFFER EQU

[7]

[Anonymous], 1986, TRANSLATIONS MATH MO

[8]

ARNOLD VI, 1983, GEOMETRICAL METHODS

[9]

CARR J, 1985, J DIFFER EQUATIONS, V59, P413, DOI 10.1016/0022-0396(85)90148-2

[10] Bifurcations of limit cycles in a Z3-equivariant planar vector field of degree 5 [J].

Chan, HSY ;

Chung, KW ;

Li, JB .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (08) :2287-2298

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