Cursos que dicta
Pregrado
- Álgebra Lineal
- Cálculo III
- Ecuaciones Diferenciales
Postgrado
- Ecuaciones Diferenciales Ordinarias
- Sistemas Dinámicos
- Topología
- Teoría Cualitativa de EDO
Líneas de investigación
- Teoría cualitativa de ecuaciones diferenciales ordinarias
- Sistemas dinámicos
Publicaciones académicas
- Center-Type Dynamics and Nonintegrability in Rocard’s Oscillator. Qualitative Theory of Dynamical Systems. https://doi.org/10.1007/s12346-026-01542-9.
- Zero-Hopf dynamics in a quadratic–cubic jerk system: a complement to quadratic classification. Boletín de la Sociedad Matemática Mexicana. https://doi.org/10.1007/s40590-026-00881-6.
- Limit cycles in the plane: Contributions from Chile. Cubo (Temuco). https://doi.org/10.56754/0719-0646.2702.391.
- Global Dynamics and Integrability of a Leslie-Gower Predator–Prey Model with Linear Functional Response and Generalist Predator. Qualitative Theory of Dynamical Systems. https://doi.org/10.1007/s12346-024-01155-0.
- ON A CLASS OF GLOBAL CENTERS OF LINEAR SYSTEMS WITH QUINTIC HOMOGENEOUS NONLINEARITIES. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis.
- Periodic orbits in a three-dimensional galactic potential model via averaging theory. The European Physical Journal Plus. https://doi.org/10.1140/epjp/s13360-020-00804-y.
- A new approach for the study of limit cycles. Journal of Differential Equations. https://doi.org/10.1016/j.jde.2020.04.038.
- Linear type global centers of linear systems with cubic homogeneous nonlinearities. Rendiconti del Circolo Matematico di Palermo Series 2. https://doi.org/10.1007/s12215-019-00433-0.
- Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities. International Journal of Bifurcation and Chaos. https://doi.org/10.1142/S0218127420500108.
- Periodic orbits of a generalized Hénon–Heiles system. Journal of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/ab661f.
- Phase portraits of Abel quadratic differential systems of second kind with symmetries. Dynamical Systems. https://doi.org/10.1080/14689367.2018.1530732.
- Detection of Special Curves Via the Double Resultant. Qualitative Theory of Dynamical Systems. https://doi.org/10.1007/s12346-015-0180-x.
- On the Homoclinic Orbits of the Lü System. International Journal of Bifurcation and Chaos. https://doi.org/10.1142/S0218127417500705.
- Weak periodic solutions of xẍ + 1 = 0 and the Harmonic Balance Method. Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/811/1/012003.
- Bifurcation values for a family of planar vector fields of degree five. Discrete and Continuous Dynamical Systems. https://doi.org/10.3934/dcds.2015.35.669.
- The period function and the Harmonic Balance Method. Bulletin des Sciences Mathématiques. https://doi.org/10.1016/j.bulsci.2014.08.002.
- Bifurcation diagram and stability for a one-parameter family of planar vector fields. Journal of Mathematical Analysis and Applications. https://doi.org/10.1016/j.jmaa.2013.11.047.
- A theoretical basis for the Harmonic Balance Method. Journal of Differential Equations. https://doi.org/10.1016/j.jde.2012.09.011.