53 citations · 284 across the 40 of their papers we have counts for
3 papers · 2 filters
Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders
Patrick Bernard, Vadim Kaloshin, Ke Zhang
In the present paper we prove a form of Arnold diffusion. The main result says that for a "generic" perturbation of a nearly integrable system of arbitrary degrees of freedom $n\ge…
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem
Jacques Fejoz, Marcel Guardia, Vadim Kaloshin +1
We study the dynamics of the restricted planar three-body problem near mean motion resonances, i.e. a resonance involving the Keplerian periods of the two lighter bodies revolving…
Arnold diffusion in a pendulum lattice
Vadim Kaloshin, Mark Levi, Marya Saprykina
The main model studied in this paper is a lattice of nearest neighbors coupled pendula. For certain localized coupling we prove existence of energy transfer and estimate its speed.