P. R. da Silva

activity

20182022

collaborators

4 papers

math.DS2022

Slow-fast normal forms arising from piecewise smooth vector fields

Otavio Henrique Perez, Gabriel Rondón, Paulo Ricardo da Silva

We studied piecewise smooth differential systems of the form $z ˙ = Z (z) = \frac{1 + sgn ( F )}{2} X (z) + \frac{1 - sgn ( F )}{2} Y (z),$ where $F: \ma…

math.DS2022

On Planar Holomorphic Systems

L. F. S. Gouveia, G. Rondón, P. R. da Silva

Planar holomorphic systems $x ˙ = u (x, y)$ , $y ˙ = v (x, y)$ are those that $u = Re (f)$ and $v = Im (f)$ for some holomorphic function $f (z)$ . They have i…

math.DS2020

Resolution of singularities of 2-dimensional real analytic constrained differential systems

Otavio Henrique Perez, Paulo Ricardo da Silva

We present a theorem of resolution of singularities for real analytic constrained differential systems $A (x) x ˙ = F (x)$ defined on a 2-manifold with corners having impasse set…

math.DS2018

Slow--fast systems and sliding on codimension 2 switching manifolds

Paulo Ricardo da Silva, Willian Pereira Nunes

In this work we consider piecewise smooth vector fields $X$ defined in $R^{n} ∖ Σ$ , where $Σ$ is a self-intersecting switching manifold. A double regularization of $X$ is a 2…