29 citations · 36 across the 16 of their papers we have counts for
3 papers · 2 filters
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
Jéfferson L. R. Bastos, Claudio A. Buzzi, Jaume Llibre +1
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert num…
On the torus bifurcation in averaging theory
Murilo R. Cândido, Douglas D. Novaes
In this paper, we take advantage of the averaging theory to investigate a torus bifurcation in two-parameter families of 2D nonautonomous differential equations. Our strategy consi…
Sliding Shilnikov Connection in Filippov-type Predator-Prey Model
Tiago de Carvalho, Douglas Duarte Novaes, Luiz Fernando Gonçalves
Recently, a piecewise smooth differential system was derived as a model of a 1 predator-2 prey interaction where the predator feeds adaptively on its preferred prey and an alternat…