José Luis Bravo Trinidad

activity

20122026

collaborators

3 papers

math.DS2026

Uniqueness of Limit Cycles for Abel Equations and Planar Systems

José Luis Bravo Trinidad, Renhao Tian, Yulin Zhao

We study positive limit cycles of the Abel equation $x ˙ = A (t) x^{3} + B (t) x^{2},$ where $A$ and $B$ are $2 π$ -periodic functions. By developing a half-period convexity method, we…

math.CA2020

Upper bounds of limit cycles in Abel differential equations with invariant curves

José Luis Bravo Trinidad, Luis Ángel Calderón Pérez, Manuel Fernández García-Hierro

New criteria are established for upper bounds on the number of limit cycles of periodic Abel differential equations having two periodic invariant curves, one of them bounded. The c…

math.DS2012

Inductive Solution of the Tangential Center Problem on Zero-Cycles

Amelia Álvarez Sánchez, José Luis Bravo Trinidad, Pavao Mardesić

Given a polynomial $f\in\C[z]$ of degree $m$ , let $z_{1} (t), ..., z_{m} (t)$ denote all algebraic functions defined by $f (z_{k} (t)) = t$ . Given integers $n_{1} ..., n_{m}$ such that $n_{1} + ... + n_{m} = 0$ …