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math.DS2025
Local and Global Analysis of the Displacement Map Some Near Integrable Systems
Francisco Braun, Leonardo da Cruz, Joan Torregrosa
In this paper, we introduce an alternative method for applying averaging theory of orders and in the plane. This is done by combining Taylor expansions of the displacement…
math.DS2023
On the number of limit cycles in piecewise planar quadratic differential systems
Francisco Braun, Leonardo P. C. da Cruz, Joan Torregrosa
We consider piecewise quadratic perturbations of centers of piecewise quadratic systems in two zones determined by a straight line through the origin. By means of expansions of the…