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

页码：335 / 359

页数：25

共 25 条

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[24] Strain-induced disorder and phase transformation in hexagonal boron nitride under quasi-homogeneous pressure up to 25 GPa: In-situ X-ray study in a rotational diamond anvil cell
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[25] Generalized Normal Forms of the Systems of Ordinary Differential Equations with a Quasi-Homogeneous Polynomial (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha x_{1}^{2}$$\end{document} + x2, x1x2) in the Unperturbed Part
V. V. Basov
A. V. Zefirov
Vestnik St. Petersburg University, Mathematics, 2021, 54 (1) : 8 - 21

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