L. C. García-Naranjo

collaborators

3 papers

math-ph2026

Lagrange points of the restricted three-body problem in spaces of constant curvature

Miguel Ayala, Carlos Barrera-Anzaldo, Luis C. GarcÃa-Naranjo

We continue the study initiated by Kilin ({\em Reg. Chaot. Dyn.} 4, (1999)) and by MartÃnez and SimÃ³ ({\em Celest. Mech. Dynam. Astronom.} 128, (2017)) on the classification and…

math.SG2026

Abelian instances of nonabelian symplectic reduction

A. Bravo-Doddoli, L. C. GarcÃa-Naranjo, E. Rigato

Let $G$ be a Lie group with a normal abelian subgroup $A$ , and let $(M, I ¨ )$ be a symplectic manifold endowed with a Hamiltonian $G$ -action. We investigat…

math.DS2024

Invariant measures as obstructions to attractors in dynamical systems and their role in nonholonomic mechanics

L. C. GarcÃa-Naranjo, R. Ortega, A. J. UreÃ±a

We present some rigorous results on the absence of a wide class of invariant measures for dynamical systems possessing attractors. We then consider a generalization of the classica…