2 papers
math.AP2026
On the potential lack of response in a model of second-harmonic generation. A computer-assisted proof
Miguel Ayala, Dominic Blanco, Fioralba Cakoni +2
This paper provides a rigorous computer-assisted proof of the existence of generalized transmission eigenvalues arising in nonlinear optics in the context of high-order harmonic ge…
math-ph2026
Lagrange points of the restricted three-body problem in spaces of constant curvature
Miguel Ayala, Carlos Barrera-Anzaldo, Luis C. García-Naranjo
We continue the study initiated by Kilin ({\em Reg. Chaot. Dyn.} 4, (1999)) and by Martínez and Simó ({\em Celest. Mech. Dynam. Astronom.} 128, (2017)) on the classification and st…