124 citations · 871 across the 70 of their papers we have counts for
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math.DS2014★ 52 cited
Regularization of hidden dynamics in piecewise smooth flows
Douglas D. Novaes, Mike R. Jeffrey
This paper studies the equivalence between differentiable and non-differentiable dynamics in Rn. Filippov's theory of discontinuous differential equations allows us to find flow so…
math.DS2014★ 47 cited
A simple solution to the Braga-Mello conjecture
Douglas Duarte Novaes, Enrique Ponce
Recently Braga and Mello conjectured that for a given natural number n there is a piecewise linear system with two zones in the plane with exactly n limit cycles. In this paper we…