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math.DS2024
On a countable sequence of homoclinic orbits arising near a saddle-center point
Inmaculada Baldomá, Marcel Guardia, Dmitry E. Pelinovsky
Exponential small splitting of separatrices in the singular perturbation theory leads generally to nonvanishing oscillations near a saddle--center point and to nonexistence of a tr…
math.DS2024
Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant
Inmaculada Baldomá, Maciej J. CapiÅski, Mar Giralt +1
The Restricted Planar Circular 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries, which pe…