29 citations · 37 across the 20 of their papers we have counts for
7 papers · 2 filters
On the Hausdorff dimension and Cantor set structure of sliding Shilnikov invariant sets
Matheus G. C. Cunha, Douglas D. Novaes, Gabriel Ponce
The concept of sliding Shilnikov connection has been recently introduced and represents an important notion in Filippov systems, because its existence implies chaotic behavior on a…
A Melnikov analysis on a family of second order discontinuous differential equations
Douglas D. Novaes, Luan V. M. F. Silva
This paper aims to provide a Melnikov-like function that governs the existence of periodic solutions bifurcating from period annuli in certain families of second-order discontinuou…
Existence of a cylinder foliated by periodic orbits in the generalized Chazy differential equation
Jaume Llibre, Douglas D. Novaes, Claudia Valls
The generalized Chazy differential equation corresponds to the following two-parameter family of differential equations \begin{equation*}\label{gcdeq} \dddot x+|x|^q \ddot x+\dfrac…
Invariant tori via higher order averaging method: existence, regularity, convergence, stability, and dynamics
Douglas D. Novaes, Pedro C. C. R. Pereira
Important information about the dynamical structure of a differential system can be revealed by looking into its invariant compact manifolds, such as equilibria, periodic orbits, a…
Invariant tori and boundedness of solutions of non-smooth oscillators with Lebesgue integrable forcing term
Douglas D. Novaes, Luan V. M. F. Silva
Since Littlewood works in the 1960's, the boundedness of solutions of Duffing-type equations has been extensively investigated. More recently, some researches…
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…