29 citations · 78 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line
Victoriano Carmona, Fernando Fernández-Sánchez, Douglas D. Novaes
The existence of a uniform upper bound for the maximum number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line has been s…
Strictification theorems for the homotopy time-slice axiom
Marco Benini, Victor Carmona, Alexander Schenkel
It is proven that the homotopy time-slice axiom for many types of algebraic quantum field theories (AQFTs) taking values in chain complexes can be strictified. This includes the ca…
Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region
Victoriano Carmona, Fernando Fernández-Sánchez, Douglas D. Novaes
In this paper, we consider the family of planar piecewise linear differential systems with two zones separated by a straight line without sliding regions, that is, differential sys…
When Bousfield localizations and homotopy idempotent functors meet again
Victor Carmona
We adopt semimodel categories to extend fundamental results related to Bousfield localizations of model categories. More specifically, we generalize Bousfield-Friedlander Theorem a…