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Polynomial inverse integrating factors for quadratic differential systems

✍ Scribed by Bartomeu Coll; Antoni Ferragut; Jaume Llibre


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
697 KB
Volume
73
Category
Article
ISSN
0362-546X

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We study the integrability of two-dimensional autonomous systems in the plane of the form αΊ‹ = -y + X s (x, y), ẏ = x + Y s (x, y), where X s (x, y) and Y s (x, y) are homogeneous polynomials of degree s with s 2. Writing this system in polar coordinates, we study the existence of polynomial inverse

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