Center problem for generic degenerate vector fields

Algaba A. Diaz M. García C. Gine J.
Nonlinear Analysis, Theory, Methods and Applications
Doi 10.1016/
Volumen 214
Citas: 0
© 2021 The Author(s)We generalize the method of construction of an integrating factor for Abel differential equations, developed in Briskin et al. (1998), for any generic monodromic singularity. Here generic means that the vector field has not characteristic directions in the quasi-homogeneous leading term in certain coordinates. We apply this method to some degenerate differential systems.
Center problem, Characteristic directions, Degenerate vectors, Monodromy
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