124 citations · 871 across the 70 of their papers we have counts for
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Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov-Schmidt reduction
Murilo R. Cândido, Jaume Llibre, Douglas D. Novaes
In this work we first provide sufficient conditions to assure the persistence of some zeros of functions having the form $$g(z,\varepsilon)=g_0(z)+\sum_{i=1}^k \varepsilon^i g_i(z)…
Chaos induced by sliding phenomena in Filippov systems
Douglas Duarte Novaes, Gabriel Ponce, Régis Varão
In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit. More specifically we prove that the first…
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 with many zones. We show that for sufficiently s…