Browsing A) Producción científica UCSC by Subject "Abelian integrals"
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Principal Poincaré–Pontryagin function associated to polynomial perturbations of a product of (d+1)(d+1) straight lines (2009)In this paper, we study small polynomial perturbations of a Hamiltonian vector field with Hamiltonian F formed by a product of (d+1)(d+1) real linear functions in two variables. We assume that the corresponding lines are ...
Principal poincaré–pontryagin function of polynomial perturbations of the hamiltonian triangle (2006)In this paper, we consider a small polynomial perturbation of the Hamiltonian vector field with the Hamiltonian F(x, y) = x[y2 − (x − 3)2] having a center bounded by a triangle. The main result of this work is that the ...
Unfolding of the hamiltonian triangle vector field (2011)In this paper, we study unfoldings of the Hamiltonian triangle vector field within quadratic vector fields. We complete and correct some previous results of Żołądek