Branching equation of Andronov-Hopf bifurcation under group symmetry conditions

被引：5

作者：

Loginov, BV ^{[1
]}

Trenogin, VA ^{[1
]}

机构：

[1] MOSCOW STEEL & ALLOYS INST,MOSCOW 117936,RUSSIA

来源：

CHAOS | 1997年 / 7卷 / 02期

关键词：

D O I：

10.1063/1.166224

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In branching theory of solutions of nonlinear equations group analysis methods [Ovsyannikov, Group Analysis of Differential Equations (Nauka, Moscow, 1978); Lectures on the Theory of Group Properties of Differential Equations (Novosibirsk University, Novosibirsk, 1966)] give the general approach for the construction of the complete form of branching equation and its subsequent investigation. These methods are applied here to the general situation of Andronov-Hopf bifurcation when there are some multiple semisimple eigenvalues on imaginary axis. (C) 1997 American Institute of Physics.

引用

页码：229 / 238

页数：10

共 40 条

[11]

LOGINOV BV, 1995, INT C NONL DIFF EQ U, P101

[12]

LOGINOV BV, 1992, APPL MATH, V37, P241

[13]

LOGINOV BV, 1985, BRANCHING THEORY SOL, P184

[14]

LOGINOV BV, 1978, IZV AKAD NAUK UZ FMN, V3, P20

[15]

LOGINOV BV, 1990, IZVESTIYA AKAD N FMN, P16

[16]

LOGINOV BV, 1988, IZV AKAD NAUK UZ FMN, V4, P32

[17]

LOGINOV BV, 1993, MODERN GROUP ANAL PR, P112

[18]

LOGINOV BV, 1994, RUSSIAN ACAD SCI DOK, V48, P200

[19]

LOGINOV BV, 1995, UZBEK MATH J, P58

[20]

LOGINOV BV, 1987, MIXED TYPE EQUATIONS, P183

← 1 2 3 4 →