40 citations · 99 across the 13 of their papers we have counts for
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math.CA2009
Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems
Belen Garcia, Hector Giacomini, Jesus Perez del Rio
We consider in this work planar polynomial differential systems having a polynomial first integral. We prove that these systems can be obtained from a linear system through a polyn…
math.DS2009★ 2 cited
Generalized Hopf Bifurcation for planar vector fields via the inverse integrating factor
Isaac A. Garcia, Hector Giacomini, Maite Grau
In this paper we study the maximum number of limit cycles that can bifurcate from a focus singular point of an analytic, autonomous differential system in the real plane unde…