9 citations · 11 across the 4 of their papers we have counts for
4 papers · 1 filter
Homoclinic Theorems for piecewise smooth vector fields
Claudio Buzzi, Paulo Santana, Luan V. M. F. Silva
In this paper we provide extensions of the Birkhoff-Smale Homoclinic Theorem and the -Lemma for piecewise smooth vector fields free of sliding motion. We prove that if the vecto…
A Piecewise Smooth -Lemma
Claudio A. Buzzi, Paulo Santana, Luan V. M. F. Silva
In this paper we provide extensions of the -Lemma (also known as Inclination Lemma) for piecewise smooth vector fields and maps. In order to achieve our main result, we investig…
On the cyclicity of hyperbolic polycycles
Claudio Buzzi, Armengol Gasull, Paulo Santana
Let be a planar smooth vector field with a polycycle with sides and all its corners, that are at most singularities, being hyperbolic saddles. In this paper we st…
On structural stability of Evolutionary Stables Strategies
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…