124 citations · 871 across the 70 of their papers we have counts for
4 papers · 2 filters
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…
On the non-existence of isochronous tangential centers in Filippov vector fields
Douglas D. Novaes, Leandro A. Silva
The isochronicity problem is a classical problem in the qualitative theory of planar vector fields which consists in characterizing whether a center is isochronous or not, that is,…
Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems
Victoriano Carmona, Fernando Fernández-Sánchez, Elisabeth García-Medina +1
This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for planar linear systems. Concretely, we focus on the analyticity of the Poincaré hal…
An averaging result for periodic solutions of Carathéodory differential equations
Douglas D. Novaes
This paper is concerned with the problem of existence of periodic solutions for perturbative Carathéodory differential equations. The main result provides sufficient conditions on…