53 citations · 284 across the 40 of their papers we have counts for
5 papers · 2 filters
Normally Hyperbolic Invariant Laminations and diffusive behaviour for the generalized Arnold example away from resonances
Vadim Kaloshin, Jianlu Zhang, Ke Zhang
In this paper we study existence of Normally Hyperbolic Invariant Laminations (NHIL) for a nearly integrable system given by the product of the pendulum and the rotator perturbed w…
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…
Random Iteration of Maps on a Cylinder and diffusive behavior
O. Castejón, V. Kaloshin
In this paper we propose a model of random compositions of cylinder maps, which in the simplified form is as follows: and \begin{eqna…
A note on micro-instability for Hamiltonian systems close to integrable
Abed Bounemoura, Vadim Kaloshin
In this note, we consider the dynamics associated to an epsilon-perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and…
Global instability in the elliptic restricted three body problem
Amadeu Delshams, Vadim Kaloshin, Abraham de la Rosa +1
The restricted planar elliptic three body problem (RPETBP) describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries,…