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25 p, 696.1 KB Darboux integrability and Algebraic limit cycles for a class of polynomial differential Systems / Cao, Jinlong (Shanghai Jiao Tong University. Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. Department of Mathematics)
This paper deals with the existence of Darboux first integrals for the planar polynomial differential systems ˙x = λx − y + Pn+1(x, y) + xF2n(x, y), ˙y = x + λy + Qn+1(x, y)+yF2n(x, y), where Pi(x, y), Qi(x, y) and Fi(x, y) are homogeneous polynomials of degree i. [...]
2014 - 10.1007/s11425-014-4772-8
Science China Mathematics, Vol. 57 Núm. 4 (2014), p. 775-794  

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