Non-existence criteria for Laurent polynomial first integrals
نویسندگان
چکیده
منابع مشابه
Polynomial First Integrals of Polynomial Differential Systems
In this paper we shall primarily study polynomial integrability of the differential system ẋ = −y + Pn(x, y), ẏ = x + Qn(x, y), n = 2, 3, where Pn and Qn are homogeneous polynomials of degree n. By taking various yet very elementary ways, we not only straightforwardly find the necessary and sufficient integrability conditions but also explicitly present the corresponding polynomial first integr...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2003
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2003.1.6