Publications

2026

• G. Rondón, N. Sadri. Global dynamics  of Generalized Duffing Oscillators with Global Centers .  Applied Mathematics and Computation , v.522, p.130007, 2026. https://doi.org/10.1016/j.amc.2026.130007 

• Rondón, Gabriel; Silva, P. R.; Gouveia, L. F. On holomorphic slow-fast systems. Matemática Contemporânea, 2026. https://doi.org/10.1007/s44425-026-00053-8

2025

• A. Gasull, G. Rondón, P.R. da Silva.  Simultaneous Bifurcation of Limit Cycles for Piecewise Holomorphic Systems. Journal of Dynamics and Differential Equations, v. 37, p. 1, 2025. https://doi.org/10.1007/s10884-025-10435-5 

• B. Grajales, G. Rondón, J. Saavedra. Invariant Geometry of G2-type Real Flag Manifolds. European Journal Of Mathematics, 11(3), 59, 2025. https://doi.org/10.1007/s40879-025-00848-3

2024

• A. Gasull, G. Rondón, P.R. da Silva. On the number of limit cycles for piecewise polynomial holomorphic systems. SIAM Journal on Applied Dynamical Systems, 23(3):2593–2622, 2024. (2024). https://doi.org/10.1137/23M1620922

• J. Libre, G. Rondón. Global centers of a class of cubic polynomial differential systems. Rendiconti del Circolo Matematico di Palermo Series 2, 2024, pp. 1973–4409. https://doi.org/10.1007/s12215-024-01034-2

2023

• L.F.S. Gouveia, P.R. da Silva, G. Rondón. Global Phase Portrait and Local Integrability of Holomorphic Systems. Qual. Theory Dyn. Syst., 22, 35 (2023). https://doi.org/10.1007/s12346-022-00734-3

• O.H. Perez, G. Rondón, P.R. da Silva. Slow-Fast Normal Forms Arising from Piecewise Smooth Vector Fields. J. Dyn. Control Syst., 29, 1709–1726 (2023). https://doi.org/10.1007/s10883-023-09657-x

2022

• D. D.Novaes, G. Rondón. On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities. Physica D: Nonlinear Phenomena, 442, (2022). https://doi.org/10.1016/j.physd.2022.133526

• L.F.S. Gouveia, P.R. da Silva, G. Rondón. Piecewise holomorphic systems. Journal of Differential Equations, 332, (2022). https://doi.org/10.1016/j.jde.2022.05.027

2021

• D. D. Novaes, G. Rondón. Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles. Nonlinearity, 34, (2021). https://doi.org/10.1088/1361-6544/ac04be