8 citations · 10 across the 6 of their papers we have counts for
6 papers
Classical -body scattering with long-range potentials
Jacques Féjoz, Andreas Knauf, Richard Montgomery
We consider the scattering of classical particles interacting via pair potentials, under the assumption that each pair potential is "long-range", i.e. being of order ${\cal O}(…
Non-integrability of the minimum-time Kepler problem
Michael Orieux, Jean-Baptiste Caillau, Jacques Féjoz +1
We prove that the minimum-time controlled Kepler problem is not Liouville integrable in the class of meromorphic functions, via the Moralès-Ramis theory.
Hamiltonian perturbation theory for ultra-differentiable functions
Abed Bounemoura, Jacques Féjoz
Some scales of spaces of ultra-differentiable functions are introduced, having good stability properties with respect to infinitely many derivatives and compositions. They are well…
KAM, -Gevrey regularity and the -Bruno-Rüssmann condition
Abed Bounemoura, Jacques Féjoz
We prove a new invariant torus theorem, for -Gevrey smooth Hamiltonian systems, under an arithmetic assumption which we call the -Bruno-Rüssmann condition, and which reduces…
Lagrangian Relations and Linear Point Billiards
Jacques Féjoz, Andreas Knauf, Richard Montgomery
Motivated by the high-energy limit of the -body problem we construct non-deterministic billiard process. The billiard table is the complement of a finite collection of linear su…
A simple proof of the invariant torus theorem
Jacques Féjoz
We give a simple proof of Kolmogorov's theorem on the persistence of a quasiperiodic invariant torus in Hamiltonian systems. The theorem is first reduced to a well-posed inversion…