3 papers
math.DS2025
Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem
Gabriel Rondón, Nasrin Sadri
This work presents a comprehensive study of the generalized Duffing oscillator, a fundamental model in nonlinear dynamics described by the system $$ \dot{x} = y, \quad \dot{y} = -α…
math.DG2024
Riemannian Geometry of -type Real Flag Manifolds
Brian Grajales, Gabriel Rondón, Julieth Saavedra
In this paper, we investigate homogeneous Riemannian geometry on real flag manifolds of the split real form of . We characterize the metrics that are invariant unde…
math.DS2023
Global centers of a class of cubic polynomial differential systems
Jaume Llibre, Gabriel Rondón
A difficult classical problem in the qualitative theory of differential systems in the plane is the center-focus problem, i.e. to distinguish between a focus and a c…