On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line RD Euzebio, J Llibre Journal of Mathematical Analysis and Applications 424 (1), 475-486, 2015 | 68 | 2015 |
On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields CA Buzzi, T Carvalho, RD Euzébio Publicacions matematiques 62 (2), 113-131, 2018 | 53 | 2018 |
Zero-Hopf bifurcation in a Chua system RD Euzébio, J Llibre Nonlinear Analysis: Real World Applications 37, 31-40, 2017 | 40 | 2017 |
Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones R Euzebio, R Pazim, E Ponce Physica D: Nonlinear Phenomena 325, 74-85, 2016 | 36 | 2016 |
Chaotic planar piecewise smooth vector fields with non-trivial minimal sets CA Buzzi, T De Carvalho, RD Euzebio Ergodic Theory and Dynamical Systems 36 (2), 458-469, 2016 | 32 | 2016 |
Periodic solutions of El Niño model through the Vallis differential system RD Euzebio, J Llibre Discrete Contin. Dyn. Syst 34, 3455-3469, 2014 | 20 | 2014 |
Zero‐Hopf bifurcation in the FitzHugh–Nagumo system RD Euzébio, J Llibre, C Vidal Mathematical Methods in the Applied Sciences 38 (17), 4289-4299, 2015 | 12 | 2015 |
Sufficient conditions for the existence of periodic solutions of the extended Duffing–Van der Pol oscillator RD Euzébio, J Llibre International Journal of Computer Mathematics 93 (8), 1358-1382, 2016 | 9 | 2016 |
Poincaré recurrence theorem for non-smooth vector fields RD Euzébio, MRA Gouveia Zeitschrift für angewandte Mathematik und Physik 68 (2), 40, 2017 | 7 | 2017 |
Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems T Carvalho, RD Euzebio, J Llibre, DJ Tonon Discrete and Continuous Dynamical Systems-Series B 21 (1), 1-11, 2016 | 7 | 2016 |
Lower bounds for the number of limit cycles in a generalised Rayleigh–Liénard oscillator RD Euzébio, J Llibre, DJ Tonon Nonlinearity 35 (8), 3883, 2022 | 6 | 2022 |
Limit sets of discontinuous vector fields on two-dimensional manifolds RD Euzébio, JS Jucá Journal of Nonlinear Science 32 (1), 18, 2022 | 4 | 2022 |
Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder CA Buzzi, RD Euzebio, AC Mereu Bulletin des Sciences Mathématiques 140 (5), 519-540, 2016 | 4 | 2016 |
Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line AM Alves, RD Euzébio Nonlinearity 36 (12), 6747, 2023 | 3 | 2023 |
There Exist Transitive Piecewise Smooth Vector Fields on but Not Robustly Transitive RD Euzébio, JS Jucá, R Varão Journal of Nonlinear Science 32 (4), 55, 2022 | 3 | 2022 |
Minimal sets and chaos in planar piecewise smooth vector fields T Carvalho, R Euzébio Electronic Journal of Qualitative Theory of Differential Equations 2020 (33 …, 2020 | 3 | 2020 |
Discussion on the limit cycles of the Lev Ginzburg equation by M. Bellamy and RE Mickens, Journal of Sound and Vibration 308 (2007) 337–342 CA Buzzi, RD Euzébio, J Llibre, LF Mello Journal of Sound and Vibration 331 (23), 5168-5170, 2012 | 3 | 2012 |
On cyclicity in discontinuous piecewise linear near-Hamiltonian differential systems with three zones having a saddle in the central one C Pessoa, R Ribeiro, D Novaes, M Gouveia, R Euzébio Nonlinear Dynamics 111 (22), 21153-21175, 2023 | 2 | 2023 |
Limit cycles of generic piecewise center-type vector fields in R3 separated by either one plane or by two parallel planes Y Villanueva, J Llibre, R Euzébio Bulletin des Sciences Mathematiques 179, 103173, 2022 | 2 | 2022 |
Topological transitivity implies chaos for two-dimensional Filippov Systems RD Euzébio, R Varão arXiv preprint arXiv:2101.12025, 2021 | 2 | 2021 |