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

[1] An Algorithm for Computing Quasi-Homogeneous Formal Normal Forms under Equivalence
Antonio Algaba
Emilio Freire
Estanislao Gamero
Cristóbal García
Acta Applicandae Mathematica, 2004, 80 : 335 - 359
[2] Quasi-homogeneous normal forms
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[3] Formal Normal Forms for the Perturbations of a Quasi-Homogeneous Hamiltonian Vector Field
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[4] Formal normal forms for the perturbations of a quasi-homogeneous Hamiltonian vector field
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[7] Reversibility and quasi-homogeneous normal forms of vector fields
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[8] EQUIVALENCE OF REAL MILNOR FIBRATIONS FOR QUASI-HOMOGENEOUS SINGULARITIES
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[9] ALGORITHM FOR IDENTIFYING QUASI-HOMOGENEOUS BLOCKS IN NETS COMPILED OF HOMOGENEOUS STRUCTURES
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[10] Analytical and formal classifications of quasi-homogeneous foliations in (C2, 0)
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