5 papers · 1 filter
Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centers
Claudio A. Buzzi, Yagor Romano Carvalho, Jaume Llibre
These last years an increasing interest appeared for studying the planar discontinuous piecewise differential systems motivated by the rich applications in modelling real phenomena…
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…
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…
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…
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
Jéfferson L. R. Bastos, Claudio A. Buzzi, Jaume Llibre +1
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert num…