29 citations · 37 across the 20 of their papers we have counts for
4 papers · 2 filters
A note on a recent attempt to solve the second part of Hilbert's 16th Problem
Claudio A. Buzzi, Douglas D. Novaes
For a given natural number , the second part of Hilbert's 16th Problem asks whether there exists a finite upper bound for the maximum number of limit cycles that planar polynomi…
Limit cycles bifurcating from periodic integral manifold in non-smooth differential systems
Oscar A. R. Cespedes, Douglas D. Novaes
This paper addresses the perturbation of higher-dimensional non-smooth autonomous differential systems characterized by two zones separated by a codimension-one manifold, with an i…
Averaging theory and catastrophes
Pedro C. C. R. Pereira, Mike R. Jeffrey, Douglas D. Novaes
When a dynamical system is subject to a periodic perturbation, the averaging method can be applied to obtain an autonomous leading order "guiding system", placing the time dependen…
Invariant Tori and Periodic Orbits in the FitzHugh-Nagumo System
Murilo R. Cândido, Douglas D. Novaes, Nasrin Sadri
The FitzHugh-Nagumo system is a -parameter family of D vector field used for modeling neural excitation and nerve impulse propagation. The origin represents a Hopf-zero equil…