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20122024
most citedUniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line

29 citations · 35 across the 5 of their papers we have counts for

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Showing 2019Show all

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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…