DULAC'S THEOREM
DOI:
https://doi.org/10.15381/pes.v12i1.9479Keywords:
Complex Differential Equations, Isolated Singularities, Complex Dynamics.Abstract
In this work is proven the Dulac's Theorem,whích establishes that if acomplex 2-dimension vector field, which linear part has two resonant eigenvectors in the Poincare domain then it is locally analytically conjugate to a polinomial vectorfield. Is is also studied the geometric behavior of its orbits in a neighborhood of asingularity.Downloads
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Copyright (c) 2009 Renato Mario Benazic Tomé, Claudio Vicente Espinoza Choqquepura, Liliana Olga Jurado Cerrón
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