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Algebraic invariant curves and the integrability of polynomial systems

✍ Scribed by Robert E. Kooij; Colin J. Christopher

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
209 KB
Volume
6
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 the system is integrable.

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