Explicit non-algebraic limit cycles for polynomial systems

By Armengol Gasull, Héctor Giacomini, Joan Torregrosa Universitat Autonoma de Barcelona, Spain Universit'e de Tours, France. 2005

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We consider a system of the form [email protected]?=P"n(x,y)+xR"m(x,y), [email protected]?=Q"n(x,y)+yR"m(x,y), where P"n(x,y), Q"n(x,y) and R"m(x,y) are homogeneous polynomials of degrees n, n and m, respectively, with n=

Subfields: Geometry and Topology

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