29 citations · 37 across the 20 of their papers we have counts for
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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…
On the periodic and antiperiodic aspects of the Floquet normal form
Douglas D. Novaes, Pedro C. C. R. Pereira
Floquet's Theorem is a celebrated result in the theory of ordinary differential equations. Essentially, the theorem states that, when studying a linear differential system with …
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…
The complete dynamics description of positively curved metrics in the Wallach flag manifold
Leonardo F. Cavenaghi, Lino Grama, Ricardo M. Martins +1
The family of invariant Riemannian manifolds in the Wallach flag manifold is described by three parameters of positive real numbers. By rest…
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…