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
β¦ LIBER β¦
Periodic Orbits for Vector Fields with Nondegenerate First Integrals
β Scribed by Massimo Villarini
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 159 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0022-0396
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## dedicated to professor jack k. hale on the occasion of his 70th birthday We present three main results. The first two provide sufficient conditions in order that a planar polynomial vector field in C 2 has a rational first integral, and the third one studies the number of multiple points that a
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