29 citations · 37 across the 20 of their papers we have counts for
6 papers · 2 filters
Generalized Pseudo-Hopf Bifurcation: Limit Cycle Position and Period
Lucas Queiroz Arakaki, Douglas Novaes, Paulo Santana
We investigate planar piecewise-smooth vector fields with a discontinuity line, focusing on the bifurcation of crossing limit cycles that arise when one of the vector fields is tra…
Weak-Coppel problem for a class of Riccati differential equations
Armengol Gasull, Douglas D. Novaes, Joan Torregrosa
We study the -periodic solutions of the real Riccati differential equation where and is a -periodic function. Our goal is to define a real-val…
Bounding the number of limit cycles in piecewise linear differential systems: methodology and worked examples
Victoriano Carmona, Fernando Fernández-Sánchez, Douglas D. Novaes
In 2012, Huan and Yang introduced the first piecewise linear differential system with two zones separated by a straight line having at least three limit cycles, serving as a counte…
Normally hyperbolic limit tori near monodromic singularities in 3D polynomial vector fields
Lucas Queiroz Arakaki, Luiz F. S. Gouveia, Douglas D. Novaes
We investigate the maximal number of normally hyperbolic limit tori in three-dimensional polynomial vector fields of degree , which extends the classical notion of Hilb…
Normal Hyperbolicity in Secondary Hopf Bifurcations
Pedro C. C. R. Pereira, Douglas D. Novaes
We combine results available in the literature to prove that the torus emerging in a secondary Hopf bifurcation is normally hyperbolic. This result is then applied to establish suf…
Strict increase in the number of normally hyperbolic limit tori in 3D polynomial vector fields
Lucas Queiroz Arakaki, Douglas D. Novaes
The second part of Hilbert's 16th problem concerns determining the maximum number of limit cycles that a planar polynomial vector field of degree can exhibit. A natural…