3 papers
math.DS2026
Detecting Limit Tori in Non-Smooth Systems: An Analytic Approach with Applications to 3D Piecewise Linear Systems
Murilo R. Cândido, Douglas D. Novaes, Joan S. G. Rivera
This work investigates a class of non-autonomous -periodic piecewise smooth differential systems and their associated time- maps. Our main result provides an analytical appro…
math.DS2019
Zero-Hopf bifurcation in the general Van der Pol-Duffing equation
Murilo Cândido, Claudia Valls
We study analytically the coexistence of multiple periodic solutions and invariant tori in the general Van der Pol-Duffing oscillator equations. We use several results related to t…
math.DS2018
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…