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math.DS2015
Domains of analyticity of Lindstedt expansions of KAM tori in dissipative perturbations of Hamiltonian systems
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
Many problems in Physics are described by dynamical systems that are conformally symplectic (e.g., mechanical systems with a friction proportional to the velocity, variational prob…
math.DS2015★ 14 cited
Qualitative and analytical results of the bifurcation thresholds to halo orbits
Sara Bucciarelli, Marta Ceccaroni, Alessandra Celletti +1
We study the dynamics in the neighborhood of the collinear Lagrangian points in the spatial, circular, restricted three--body problem. We consider the case in which one of the prim…