The center problem via averaging method |
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Authors: | Isaac A. Garcí a |
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Affiliation: | Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Spain |
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Abstract: | The averaging method has been used to study the problem of the determination of the number of hyperbolic limit cycles that can bifurcate from the period annulus of a center. In this paper we use the averaging method up to any order in the perturbation parameter to determine the center conditions of monodromic singular points of analytic planar vector fields. |
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Keywords: | Center problem Averaging method |
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