53 citations · 120 across the 13 of their papers we have counts for
15 papers
Limit Sets and Global Bifurcation Structure in Planar Control Models with Large Hysteresis
Tiago Carvalho, Leonardo Serantola, Bruno S. Rangel
The present paper addresses a problem that may be of considerable interest to a broad audience since the systems considered here operate according to a switching protocol involving…
Planar constant piecewise smooth vector fields with large hysteresis
Tiago Carvalho, Leonardo Serantola, Bruno de Souza Rangel
Throughout this work, we will carry out a rigorous mathematical analysis of a class of control systems that is widely used in applications but still lacks a consistent theoretical…
About the Shadowing Theorem for piecewise smooth vector fields with sliding motion
Tiago Carvalho
Since every modeling process in real-world situations is subject to errors, the study of the so-called shadowing property becomes highly relevant. This property allows for the iden…
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…
Canonical forms of 3d cusp-fold singularities and its unfoldings
Tiago Carvalho, Jackson Cunha, Bruno Rodrigues Freita
In this paper we obtain 32 canonical forms for 3D piecewise smooth vector fields presenting the so called cusp-fold singularity. All these canonical forms are topologically distinc…
On Topological Entropy of Piecewise Smooth Vector Fields 2
Andre Amaral Antunes, Tiago Carvalho, Regis Varao
Non-smooth vector fields does not have necessarily the property of uniqueness of solution passing through a point and this is responsible to enrich the behavior of the system. Even…
Symbolic dynamics of planar piecewise smooth vector fields
Andre Amaral Antunes, Tiago Carvalho
Recently, the theory concerning piecewise smooth vector fields (PSVFs for short) have been undergoing important improvements. In fact, many results obtained do not have an analogou…
Sliding mode on tangential sets of Filippov systems
Tiago Carvalho, Douglas D. Novaes, Durval J. Tonon
We consider piecewise smooth vector fields defined in where both vector fields are tangent to the switching manifold along a submanifold $M\subset…
Sliding Shilnikov Connection in Filippov-type Predator-Prey Model
Tiago de Carvalho, Douglas Duarte Novaes, Luiz Fernando Gonçalves
Recently, a piecewise smooth differential system was derived as a model of a 1 predator-2 prey interaction where the predator feeds adaptively on its preferred prey and an alternat…
Birth of isolated nested cylinders and limit cycles in 3D piecewise smooth vector fields with symmetry
Tiago Carvalho, Bruno Rodrigues de Freitas
Our start point is a 3D piecewise smooth vector field defined in two zones and presenting a shared fold curve for the two smooth vector fields considered. Moreover, these smooth ve…
Hopf and Homoclinic Loop Bifurcations on a DC-DC Boost Converter under a SMC Strategy
Rony Cristiano, Tiago Carvalho, Durval José Tonon +1
In this paper, a dc-dc boost converter with sliding mode control and washout filter is analysed. This device is modelled as a three-dimensional Filippov system, characterized by th…
Attractivity, degeneracy and codimension of a typical singularity in 3D piecewise smooth vector fields
Tiago de Carvalho, Marco Antonio Teixeira
We address the problem of understanding the dynamics around typical singular points of piecewise smooth vector fields. A model in presenting a T-singularity is cons…
On Poincaré-Bendixson Theorem and Non-Trivial Minimal Sets in Planar Nonsmooth Vector Fields
Tiago de Carvalho, Claudio A. Buzzi, Rodrigo D. Euzébio
In this paper some qualitative and geometric aspects of nonsmooth vector fields theory are discussed. In the class of nonsmooth systems, that do not present sliding regions, a Poin…
Bifurcations of Non Smooth Vector Fields on by Geometric Singular Perturbations
Tiago de Carvalho, Durval Jose Tonon
Our object of study is non smooth vector fields on . We apply the techniques of geometric singular perturbations in non smooth vector fields after regularization and a blow$-…
Canard Cycles and Poincaré Index of Non-Smooth Vector Fields on the Plane
Claudio Buzzi, Tiago de Carvalho, Paulo Ricardo da Silva
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a subclass of non-smooth vector fields we provide necessary and sufficient conditions for t…