Normal form theory for reversible equivariant vector fields

被引：0

作者：

Patricia H. Baptistelli

Miriam Manoel

Iris O. Zeli

机构：

[1] UEM Av. Colombo,Department of Mathematics

[2] 5790,Department of Mathematics

[3] ICMC–USP C.P. 668,Department of Mathematics

[4] IMECC–UNICAMP C.P.,undefined

来源：

Bulletin of the Brazilian Mathematical Society, New Series | 2016年 / 47卷

关键词：

normal form; reversibility; symmetry; homological operator; 7C80; 34C20; 13A50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a method to obtain formal normal forms of reversible equivariant vector fields. The procedurewe present is based on the classical method of normal forms combined with tools from invariant theory. Normal forms of two classes of resonant cases are presented, both with linearization having a 2-dimensional nilpotent part and a semisimple part with purely imaginary eigenvalues.

引用

页码：935 / 954

页数：19

共 25 条

[11] Dulac H.(2013)Reversibility and branching of periodic orbits Discrete Contin. Dyn. Sys. 3 1177-1199
[12] Elphick C.(1973)Normal forms for certain singularities of vector fields An. Inst. Fourier 23 163-195
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