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math.DS2021
Braids of the N-body problem II: carousel solutions by cabling central configurations
Marine Fontaine, Carlos García-Azpeitia
We prove the existence of relative periodic solutions of the planar -body problem starting with bodies moving close to a non-degenerate central configuratio…
math.DS2019★ 3 cited
Braids of the N-body problem by cabling a body in a central configuration
Marine Fontaine, Carlos García-Azpeitia
We prove the existence of periodic solutions of the N=(n+1)-body problem starting with n bodies whose reduced motion is close to a non-degenerate central configuration and replacin…
math.DS2017★ 4 cited
Persistence of stationary motion under explicit symmetry breaking perturbation
Marine Fontaine, James Montaldi
Explicit symmetry breaking occurs when a dynamical system having a certain symmetry group is perturbed in a way that the perturbation preserves only some symmetries of the original…