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math.DS2019
A new simple proof for Lum-Chua's conjecture
Victoriano Carmona, Fernando Fernández-Sánchez, Douglas D. Novaes
The already proved Lum-Chua's conjecture says that a continuous planar piecewise linear differential system with two zones separated by a straight line has at most one limit cycle.…
math.DS2019
Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a two-fold cycle
Douglas D. Novaes, Tere M. Seara, Marco A. Teixeira +1
We study the existence of periodic solutions in a class of planar Filippov systems obtained from non-autonomous periodic perturbations of reversible piecewise smooth differential s…