C. A. Rodrigues

collaborators

3 papers

math.CA2018

Limit cycles for two classes of control piecewise linear differential systems

J. Llibre, R. D. S. Oliveira, C. A. B. Rodrigues

We study the bifurcation of limit cycles from the periodic orbits of $2 n$ --dimensional linear centers $x ˙ = A_{0} x$ when they are perturbed inside classes of continuous and dis…

math.CA2018

Bifurcations from families of periodic solutions in piecewise differential systems

Jaume Llibre, Douglas D. Novaes, Camila A. B. Rodrigues

Consider a differential system of the form $x^{'} = F_{0} (t, x) + i = 1 \sum k ε^{i} F_{i} (t, x) + ε^{k + 1} R (t, x, ε),$ where $F_i:\mathbb{S}^1 \times D \to \mathbb{…

math.DS2016

Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

Jaume Llibre, Douglas D. Novaes, Camila A. B. Rodrigues

This work is devoted to study the existence of periodic solutions for a family of discontinuous differential systems $Z (x, y; ε)$ with many zones. We show that for $ε$ sufficiently s…