José Luis Bravo Trinidad

activity

20122026

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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.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 $n_{1} + ... + n_{m} = 0$ …