53 citations · 179 across the 15 of their papers we have counts for
18 papers
Local bifurcations in a class of piecewise-smooth Filippov systems with a nonregular switching curve via a nonlinear double regularization process
Claudio A. Buzzi, Yagor Romano Carvalho
We are interested in analyzing the preservation of bifurcations in a class of piecewise smooth vector fields with a nonregular switching set under a smoothing process that approxim…
Piecewise Smooth Dynamical Systems Regularized by Convolution
Claudio A. Buzzi, Daniel Panazzolo, Paulo R. da Silva
We present a general regularization procedure for piecewise smooth vector fields whose discontinuity locus is a variety of normal crossings type. We show that such regularization c…
A note on a recent attempt to solve the second part of Hilbert's 16th Problem
Claudio A. Buzzi, Douglas D. Novaes
For a given natural number , the second part of Hilbert's 16th Problem asks whether there exists a finite upper bound for the maximum number of limit cycles that planar polynomi…
Evolutionary Stable Strategies and Cubic Vector Fields
Jefferson Bastos, Claudio Buzzi, Paulo Santana
The introduction of concepts of Game Theory and Ordinary Differential Equations into Biology gave birth to the field of Evolutionary Stable Strategies, with applications in Biology…
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…
Monodromy and Dulac's Problem for Piecewise analytical planar vector fields
Claudio Buzzi, João Carlos Medrado, Claudio Pessoa
Consider an analytical function having as its regular value, a switching manifold and a piecewise analytical vector fi…