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math.DS2023★ 1 cited
On the number of limit cycles for piecewise polynomial holomorphic systems
Armengol Gasull, Gabriel Rondón, Paulo R. da Silva
In this paper we are concerned with determining lower bounds of the number of limit cycles for piecewise polynomial holomorphic systems with a straight line of discontinuity. We ap…
math.DS2023
Global centers of a class of cubic polynomial differential systems
Jaume Llibre, Gabriel Rondón
A difficult classical problem in the qualitative theory of differential systems in the plane is the center-focus problem, i.e. to distinguish between a focus and a c…