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Local analytic first integrals of planar analytic differential systems

✍ Scribed by Colak, Ilker E.; Llibre, Jaume; Valls, Claudia


Book ID
121769323
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
180 KB
Volume
377
Category
Article
ISSN
0375-9601

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πŸ“œ SIMILAR VOLUMES


Planar analytic vector fields with gener
✍ Weigu Li; Jaume Llibre; Xiang Zhang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 French βš– 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