3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DS2023
A remark on the onset of resonance overlap
Jacques Fejoz, Marcel Guardia
Chirikov's celebrated criterion of resonance overlap has been widely used in celestial mechanics and Hamiltonian dynamics to detect global instability, but is rarely rigourous. We…
math.DS2022★ 3 cited
Why are inner planets not inclined?
Andrew Clarke, Jacques Fejoz, Marcel Guardia
Poincaré's work more than one century ago, or Laskar's numerical simulations from the 1990's on, have irrevocably impaired the long-held belief that the Solar System should be stab…
math.DS2021
Invariant submanifolds of conformal symplectic dynamics
Marie-Claude Arnaud, Jacques Fejoz
We study invariant manifolds of conformal symplectic dynamical systems on a symplectic manifold (M, ) of dimension 4. This class of systems is the 1-dimensional extension o…