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math.DS2020
Invariant manifolds for piecewise smooth differential systems in
Claudio A. Buzzi, Rodrigo D. Euzébio, Ana C. Mereu
In this paper some piecewise smooth perturbations of a three-dimensional differential system are considered. The existence of invariant manifolds filled by periodic orbits is obtai…
math.DS2020
Limit cycles for some families of smooth and non-smooth planar systems
Claudio A. Buzzi, Yagor Romano Carvalho, Armengol Gasull
In this paper, we apply the averaging method via Brouwer degree in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to…
math.DS2020
The local period function for Hamiltonian systems with applications
Claudio A. Buzzi, Yagor Romano Carvalho, Armengol Gasull
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, in terms of the energy, of the period function for a non-degenerated center of an…