3 papers
math-ph2026
Singular barriers and quartic integrability breaking in the TTW system
Adrian M. Escobar Ruiz, Miguel E. Gómez Quintanar, Lidia Jiménez-Lara +1
We study the competition between resonance-induced integrability breaking and centrifugal confinement in a symmetric quartic deformation of the classical Tremblay--Turbiner--…
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
Data-driven reconstruction of chaotic dynamical equations: the Hénon-Heiles type system
A. M. Escobar-Ruiz, L. Jiménez-Lara, P. M. Juárez-Florez +3
In this study, the classical two-dimensional potential , , is considered. At , the system i…