5 citations · 7 across the 3 of their papers we have counts for
3 papers
Bounding the number of limit cycles in piecewise linear differential systems: methodology and worked examples
Victoriano Carmona, Fernando Fernández-Sánchez, Douglas D. Novaes
In 2012, Huan and Yang introduced the first piecewise linear differential system with two zones separated by a straight line having at least three limit cycles, serving as a counte…
A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness
Victoriano Carmona, Fernando Fernández-Sánchez, Douglas D. Novaes
We close the problem of the existence of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness. In fact, a characterization for the ex…
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…