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On the polynomial integrability of the Hoyer systems

✍ Scribed by Jaume Llibre; Clàudia Valls


Book ID
118024263
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
220 KB
Volume
399
Category
Article
ISSN
0022-247X

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Algebraic invariant curves and the integ
✍ Robert E. Kooij; Colin J. Christopher 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 209 KB

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