3 citations · 4 across the 2 of their papers we have counts for
3 papers
math.DS2023★ 1 cited
Unveiling the Cyclicity of Monodromic Tangential Singularities: Insights Beyond the Pseudo-Hopf Bifurcation
Douglas D. Novaes, Leandro A. Silva
The cyclicity problem, crucial in analyzing planar vector fields, consists in estimating the number of limit cycles emanating from monodromic singularities. Traditionally, this est…
math.DS2021★ 3 cited
On the non-existence of isochronous tangential centers in Filippov vector fields
Douglas D. Novaes, Leandro A. Silva
The isochronicity problem is a classical problem in the qualitative theory of planar vector fields which consists in characterizing whether a center is isochronous or not, that is,…
math.DS2020
Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields
Douglas D. Novaes, Leandro A. Silva
In planar analytic vector fields, a monodromic singularity can be distinguished between a focus or a center by means of the Lyapunov coefficients, which are given in terms of the p…