| Lie Symmetries of Quasihomogeneous Polynomial Planar Vector Fields and Certain Perturbations |
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| 作者姓名： | JavierCHAVARRIGA IsaacA.GARCIA |
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| 作者单位： | DepartamentdeMatemàtica,UniversitatdeLleida,Avda.JaumeII,69,25001,Lleida,Spain |
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| 摘 要： | In this work we study Lie symmetries of planar quasihomogeneous polynomial vector fields from different points of view, showing its integrability. Additionally, we show that certain perturbations of such vector fields which generalize the so-called degenerate infinity vector fields are also integrable.
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| 关 键 词： | 李对称 准同源系统 平面矢量场 多项式 可积性 群 |
| 收稿时间： | 7 August 2002 |
Lie Symmetries of Quasihomogeneous Polynomial Planar Vector Fields and Certain Perturbations |
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| JavierCHAVARRIGA IsaacA.GARCIA.Lie Symmetries of Quasihomogeneous Polynomial Planar Vector Fields and Certain Perturbations[J].Acta Mathematica Sinica,2005,21(1):185-192. |
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| Authors: | Javier Chavarriga Isaac A García |
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| Institution: | (1) Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Spain |
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| Abstract: | In this work we study Lie symmetries of planar quasihomogeneous polynomial vector fields
from different points of view, showing its integrability. Additionally, we show that certain perturbations
of such vector fields which generalize the so–called degenerate infinity vector fields are also integrable.
The authors are supported by the Spanish MCYT, Grant Number BFM 2002-04236-C01-01 |
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| Keywords: | Lie symmetries Quasi– homogeneous systems Planar vector fields |
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