112 citations · 193 across the 13 of their papers we have counts for
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math.DS2019★ 2 cited
Viscosity solutions and hyperbolic motions: a new PDE method for the -body problem
Ezequiel Maderna, Andrea Venturelli
We prove for the -body problem the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. The energy level of th…
math.CA2019
On the Lyapunov instability in Newtonian dynamics
Juan Manuel Burgos, Ezequiel Maderna, Miguel Paternain
We prove Lyapunov instability for cases in which the local minimum of the potential energy is reached on a hypersurface of the configuration space. In contrast to the known results…