44 citations · 170 across the 35 of their papers we have counts for
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math.DS2015★ 44 cited
Oscillatory orbits in the restricted elliptic planar three body problem
Marcel Guardia, Pau Martín, Lara Sabbagh +1
The restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of the two other bodies, the primaries, which evolve…
math.DS2015★ 12 cited
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
M. Guardia, V. Kaloshin, J. Zhang
In this paper we study a so-called separatrix map introduced by Zaslaskii-Filonenko [ZF68] and studied by Treschev and Piftankin [Tre98, Tre02, Pif06, PT07]. We derive a second ord…
math.AP2015★ 3 cited
Growth of Sobolev norms for the analytic NLS on
Marcel Guardia, Emanuele Haus, Michela Procesi
We consider the completely resonant defocusing non-linear Schrödinger equation on the two dimensional torus with any analytic gauge invariant nonlinearity. Fix . We show the e…