An algorithm for computing quasi-homogeneous formal normal forms under equivalence

被引：18
作者：
Algaba, A
Freire, E
Gamero, E
García, C
机构：
[1] Univ Huelva, Fac Ciencias Expt, Dept Matemat, Huelva 21071, Spain
[2] Univ Seville, Escuela Super Ingn, Dept Matemat Aplicada 2, Seville 41092, Spain
来源：
ACTA APPLICANDAE MATHEMATICAE | 2004年 / 80卷 / 03期
关键词：
normal forms; autonomous dynamical systems;
D O I：
10.1023/B:ACAP.0000018769.73927.a4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a recursive algorithm which is useful for computing normal forms of vector fields using smooth orbital equivalence. The case of vector fields with a singularity corresponding to a triple-zero eigenvalue with geometric multiplicity one is considered in detail. The results obtained are applied to the study of a simple electronic device, with only one nonlinearity.
引用
收藏
页码：335 / 359
页数：25
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