2 papers
math-ph2024
Two-center problem with harmonic-like interactions: periodic orbits and non-integrability
A. M. Escobar Ruiz, L. Jiménez-Lara, J. Llibre +1
We study the classical planar two-center problem of a particle subjected to harmonic-like interactions with two fixed centers. For convenient values of the dimensionless parame…
math.DS2023
Global Centers in a Class of Quintic Polynomial Differential System
Leonardo P. C. da Cruz, Jaume LLibre
A center of a differential system in the plane is an equilibrium point having a neighborhood such that is filled of periodic orbits. A cen…