Research interest
Dynamical Systems, Classical and Celestial Mechanics, Periodic Solutions, Stability, Lagrangian and Hamiltonian Systems, Variational Methods, Geometrical Methods, KAM Methods, Nekhoroshev estimates, Normal Forms, Leray-Schauder Degree, Homotopy Methods, Hilbert Manifolds.
Publications
A. Bengochea, E. Pérez-Chavela, and C. Barrera-Anzaldo, "The three-body problem on the sphere and its reversing symmetries," Phys. D, vol. 477, Paper No. 134707, 2025, ISSN: 0167-2789,1872-8022. DOI: 10.1016/j.physd.2025.134707.
C. Barrera-Anzaldo, "Uniform bifurcation of comet-type periodic orbits in the restricted (n+1)-body problem with non-Newtonian homogeneous potential," J. Differential Equations, vol. 360, pp. 572--598, 2023. DOI: 10.1016/j.jde.2023.03.051.
C. Barrera, A. Bengochea, and C. García-Azpeitia, "Comet and moon solutions in the time-dependent restricted (n+1)-body problem," J. Dynam. Differential Equations, vol. 34, no. 2, pp. 1187--1207, 2022. DOI: 10.1007/s10884-020-09929-1.
Preprints and current work
C. Barrera-Anzaldo and C. García-Azpeitia, "Symmetric periodic solutions in the generalized Sitnikov problem with homotopy methods," 2025 [pdf-file].
C. Barrera Anzaldo and L. García-Naranjo, "Relative Equilibria in the Restricted Curved Three-Body Problem".