Lie Symmetries of Quasihomogeneous Polynomial Planar Vector Fields and Certain Perturbations  

作　　者：Javier CHAVARRIGA Isaac A.GARCIA 

机构地区：[1]Departament de Matemdtica,Universitat de Lleida,Avda.Jaume II,69,25001,Lleida,Spain

出　　处：《Acta Mathematica Sinica,English Series》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

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.

关 键 词：Lie symmetries Quasi-homogeneous systems Planar vector fields 

分 类 号：O174.14[理学—数学]