Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))

Algaba Durán, AntonioGarcía García, Cristóbal, MatemáticoReyes Columé, Manuel2017-02-152017-02-152011Algaba Durán, A., García García, C., Reyes Columé, M.: "Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))". Qualitative Theory of Dynamical Systems. Vol. 10, n. 2, págs. 303–316, (2011). DOI: 10.1007/s12346-011-0046-91575-54601662-3592 (electrónico)http://hdl.handle.net/10272/13292We characterize the nilpotent systems whose lowest degree quasihomogeneous term is (y, σ xn)T, σ = ±1, which have an algebraic inverse integrating factor over C((x,y)) . In such cases, we show that the systems admit an inverse integrating factor of the form (h+ . . . )q with h = 2σ xn+1 − (n + 1)y2 and q a rational number. We analyze its uniqueness modulus a multiplicative constant.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))journal article10.1007/s12346-011-0046-9open access