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

[11] LIMIT-CYCLES FOR A CLASS OF ABEL EQUATIONS
GASULL, A
LLIBRE, J
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1990, 21 (05) : 1235 - 1244
[12] LIMIT-CYCLES OF GENERALIZED LIENARD EQUATIONS
LYNCH, S
[J]. APPLIED MATHEMATICS LETTERS, 1995, 8 (06) : 15 - 17
[13] LOCAL COORDINATES AROUND LIMIT-CYCLES OF PARTIAL-DIFFERENTIAL EQUATIONS
STOKES, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 59 (02) : 225 - 231
[14] WEAK FOCUS, LIMIT-CYCLES, AND BIFURCATIONS FOR BOUNDED QUADRATIC SYSTEMS
LI, CZ
LLIBRE, J
ZHANG, ZF
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 115 (01) : 193 - 223
[15] BIFURCATIONS OF LIMIT-CYCLES FORMING COMPOUND EYES IN THE CUBIC SYSTEM
LI, JB
HUANG, QM
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1987, 8 (04) : 391 - 403
[16] Bifurcations of cycles in systems of differential equations with a finite symmetry group - II
Nikolaev E.V.
Shnol E.E.
[J]. Journal of Dynamical and Control Systems, 1998, 4 (3) : 343 - 363
[17] Bifurcations of cycles in systems of differential equations with a finite symmetry group - I
Nikolaev, E.V.
Shnol, E.E.
[J]. Journal of Dynamical and Control Systems, 1998, 4 (03): : 315 - 341
[18] Bifurcations of cycles in systems of differential equations with a finite symmetry group - I
Nikolaev E.V.
Shnol E.E.
[J]. Journal of Dynamical and Control Systems, 1998, 4 (3) : 315 - 341
[19] LIMIT-CYCLES AND CHAOS IN EQUATIONS OF THE PENDULUM TYPE
MOROZOV, AD
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1989, 53 (05): : 565 - 572
[20] EXISTENCE OF LIMIT-CYCLES FOR GENERALIZED LIENARD EQUATIONS
ALSHOLM, P
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 171 (01) : 242 - 255

← 1 2 3 4 5 →