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Title:
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Local behavior of planar analytic vector fields via integrability
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Author:
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Álvarez, M.J.; Ferragut Amengual, Antoni Manel
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
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Abstract:
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We present an algorithm to study the local behavior of singular points of planar analytic vector fields having a first integral which is a quotient of analytic functions. The algorithm is based on the blow-up method. It emphasizes the curves passing through the singular points and avoids the computation of the desingularized systems. Vector fields having a rational first integral are a particular case. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
-Planar analytic vector field
-Generalized rational first integral
-Planar analytic vector field
-Generalized rational first integral
-Blow-up
-INVARIANT ALGEBRAIC-CURVES
-SINGULARITIES
-INTEGRALS |
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Rights:
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Document type:
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Article - Published version
Article |
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