BIFURCATIONS OF LIMIT-CYCLES OF DIFFERENTIAL-EQUATIONS ADMITTING AN INVOLUTIVE SYMMETRY

被引：2

作者：

NIKOLAEV, EV

机构：

[1] Institute of Mathematical Problems in Biology, Russian Academy of Sciences, Puschino

来源：

SBORNIK MATHEMATICS | 1995年 / 186卷 / 3-4期

关键词：

D O I：

10.1070/SM1995v186n04ABEH000033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study local bifurcations of I-invariant limit cycles (of codimensions one and two) in families of vector fields in R(n) that admit an involutive symmetry I, where I-2 = id, the identity operator.

引用

页码：611 / 627

页数：17

共 50 条

[1] LIMIT-CYCLES OF PLANAR QUADRATIC DIFFERENTIAL-EQUATIONS
KODITSCHEK, DE
NARENDRA, KS
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 54 (02) : 181 - 195
[2] THE NUMBER OF LIMIT-CYCLES OF CERTAIN POLYNOMIAL DIFFERENTIAL-EQUATIONS
BLOWS, TR
LLOYD, NG
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1984, 98 : 215 - 239
[3] SMALL AMPLITUDE LIMIT-CYCLES OF POLYNOMIAL DIFFERENTIAL-EQUATIONS
LLOYD, NG
[J]. LECTURE NOTES IN MATHEMATICS, 1983, 1032 : 346 - 357
[4] LIMIT-CYCLES CLOSE TO INFINITY OF CERTAIN NONLINEAR DIFFERENTIAL-EQUATIONS
GUINEZ, V
SAEZ, E
SZANTO, I
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1990, 33 (01): : 55 - 59
[5] NONPERTURBATIVE (BUT APPROXIMATE) METHOD FOR SOLVING DIFFERENTIAL-EQUATIONS AND FINDING LIMIT-CYCLES
DELAMOTTE, B
[J]. PHYSICAL REVIEW LETTERS, 1993, 70 (22) : 3361 - 3364
[6] NONPERTURBATIVE (BUT APPROXIMATE) METHOD FOR SOLVING DIFFERENTIAL-EQUATIONS AND FINDING LIMIT-CYCLES - REPLY
DELAMOTTE, B
[J]. PHYSICAL REVIEW LETTERS, 1994, 72 (23) : 3735 - 3735
[7] NONPERTURBATIVE (BUT APPROXIMATE) METHOD FOR SOLVING DIFFERENTIAL-EQUATIONS AND FINDING LIMIT-CYCLES - COMMENT
DENMAN, HH
[J]. PHYSICAL REVIEW LETTERS, 1994, 72 (23) : 3734 - 3734
[8] DULAC MEMOIR ON LIMIT-CYCLES AND RELATED PROBLEMS OF THE LOCAL THEORY OF DIFFERENTIAL-EQUATIONS
ILYASHENKO, YS
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1985, 40 (06) : 1 - 49
[9] NONLINEAR-SYSTEMS OF DIFFERENTIAL-EQUATIONS INVOLVING LIMIT-CYCLES AND CONSERVATIVE HAMILTONIAN SYSTEMS
STEEB, WH
[J]. PHYSICS LETTERS A, 1977, 62 (04) : 211 - 213
[10] LIMIT-CYCLES AND HOPF BIFURCATIONS IN A KOLMOGOROV TYPE SYSTEM
MURATORI, S
RINALDI, S
[J]. MODELING IDENTIFICATION AND CONTROL, 1989, 10 (02) : 91 - 99

← 1 2 3 4 5 →