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.
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页码：229 / 238
页数：10
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