P. R. da Silva

activity

20102026

most citedCanard Cycles and Poincaré Index of Non-Smooth Vector Fields on the Plane

24 citations · 36 across the 10 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

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…