In this note, we study the relation between the existence of algebraic invariants and integrability for planar polynomial systems. It is proved, under certain genericity conditions, that if the sum of the degrees of the algebraic invariants exceeds the degree of the polynomial system by one, then th
β¦ LIBER β¦
Invariant Algebraic Curves of Polynomial Dynamical Systems
β Scribed by M. V. Dolovand; Yu. V. Pavlyuk
- Book ID
- 111579176
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 125 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0012-2661
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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