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Generalized rational first integrals of analytic differential systems

✍ Scribed by Wang Cong; Jaume Llibre; Xiang Zhang


Book ID
113699119
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
241 KB
Volume
251
Category
Article
ISSN
0022-0396

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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