Álvaro Castañeda

activity

20112026

most citedDifferentiability of Palmer's linearization Theorem and converse result for density functions

39 citations · 45 across the 9 of their papers we have counts for

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math.DS2026

A family of Hurwitz polynomial vector fields in $R^{3}$ having non-constant periodic orbits

Álvaro Castañeda, Salomón Rebollo-Perdomo

We construct a two-parameter family of polynomial vector fields in $R^{3}$ and prove that, on a nonempty open set of parameter values, every member of the family is Hurwitz…

math.AG2026

The weak Markus--Yamabe conjecture fails in dimension 14

Álvaro Castañeda, Gerardo Honorato, Francisco Valenzuela-Henríquez

We show that the weak Markus--Yamabe conjecture fails in every dimension $n \geq 14$ . We first prove a chain realization theorem: every polynomial Keller map $F=\I+H$ of $R^{n}$ with…

A family of Hurwitz polynomial vector fields in R3 having non-constant periodic orbits

The weak Markus--Yamabe conjecture fails in dimension 14

A family of Hurwitz polynomial vector fields in $R^{3}$ having non-constant periodic orbits