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Multiparticle systems. The algebra of integrals and integrable cases

โœ Scribed by A. V. Borisov; A. A. Kilin; I. S. Mamaev


Book ID
111469491
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
656 KB
Volume
14
Category
Article
ISSN
1560-3547

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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