Planar analytic vector fields with gener
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Weigu Li; Jaume Llibre; Xiang Zhang
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Article
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2001
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Elsevier Science
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French
β 123 KB
The main purpose of this paper is to characterize a germ of planar holomorphic vector field at an elementary singular point having a generalized rational first integral. Our results generalize a result due to PoincarΓ© on a necessary condition of the existence of a rational first integral for planar