18 citations · 45 across the 8 of their papers we have counts for
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math.DS2015★ 9 cited
Double exponential stability for generic real-analytic elliptic equilibrium points
Abed Bounemoura, Bassam Fayad, Laurent Niederman
We consider the dynamics in a neighborhood of an elliptic equilibrium point with a Diophantine frequency of a symplectic real analytic vector field and we prove the following resul…
astro-ph.EP2015
Rigorous treatment of the averaging process for co-orbital motions in the planetary problem
Philippe Robutel, Laurent Niederman, Alexandre Pousse
We develop a rigorous analytical Hamiltonian formalism adapted to the study of the motion of two planets in co-orbital resonance. By constructing a complex domain of holomorphy for…