R. Trinidad-Forte

collaborators

2 papers

math.CA2026

Finitude of Limit Cycles of Linear Piecewise ODEs in the Cylinder

J. L. Bravo, R. Trinidad-Forte

Let $x^{'} = S (t, x)$ be a differential equation in the cylinder, linear piecewise in $x$ and with trigonometric coefficients in $t$ . In this paper, we provide an upper bound on the numb…

math.CA2025

Global Centers in Piecewise linear Differential Equations in the Cylinder

J. L. Bravo, R. Trinidad-Forte

We characterize global centers (all solutions are periodic) of the piecewise linear equation $x^{'} = a (t) ∣ x ∣ + b (t)$ when the coefficients $a, b$ are trigonometric polynomials, under so…