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Liénard systems for quadratic systems with invariant algebraic curves

✍ Scribed by L. A. Cherkas

Book ID
110159022
Publisher
Springer
Year
2011
Tongue
English
Weight
304 KB
Volume
47
Category
Article
ISSN
0012-2661

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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