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 w...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.展开更多
基金supported by the Spanish MCYT,Grant Number BFM 2002-04236-C01-01
文摘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.
