Lie Symmetries of Quasihomogeneous Polynomial Planar Vector Fields and Certain Perturbations

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摘要 In this work we study Lie symmetries of planar quasihomogeneous polynomialvector fields from different points of view, showing its integrability. Additionally, we show thatcertain perturbations of such vector fields which generalize the so–called degenerate infinityvector fields are also integrable. In this work we study Lie symmetries of planar quasihomogeneous polynomialvector fields from different points of view, showing its integrability. Additionally, we show thatcertain perturbations of such vector fields which generalize the so–called degenerate infinityvector fields are also integrable.

作者 Javier CHAVARRIGA Isaac A.GARCIA

机构地区 Departament de Matemdtica

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第1期185-192,共8页 数学学报（英文版）

基金 supported by the Spanish MCYT,Grant Number BFM 2002-04236-C01-01

关键词 Lie symmetries Quasi-homogeneous systems Planar vector fields

分类号 O174.14 [理学—基础数学]

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Acta Mathematica Sinica,English Series

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Lie Symmetries of Quasihomogeneous Polynomial Planar Vector Fields and Certain Perturbations

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