3 papers
math.DS2022
Some apects of thermodinamic formalism of piecewise of smooth vector fields
Marco A. C. Florentino, Tiago Carvalho, Jeferson Cassiano
In this paper we study some aspects of thermodynamic formalism, more specifically topological pressure and, as a consequence, topological entropy for piecewise smooth vector fields…
math.DS2018
Sliding Shilnikov Connection in Filippov-type Predator-Prey Model
Tiago de Carvalho, Douglas Duarte Novaes, Luiz Fernando Gonçalves
Recently, a piecewise smooth differential system was derived as a model of a 1 predator-2 prey interaction where the predator feeds adaptively on its preferred prey and an alternat…
math.DS2017
Birth of isolated nested cylinders and limit cycles in 3D piecewise smooth vector fields with symmetry
Tiago Carvalho, Bruno Rodrigues de Freitas
Our start point is a 3D piecewise smooth vector field defined in two zones and presenting a shared fold curve for the two smooth vector fields considered. Moreover, these smooth ve…