M. Rouleux

collaborators

2 papers

math-ph2003

Tunneling effects between tori in double wells

Michel Rouleux

We consider tunneling between 2 symmetric potential wells for a 2-d Schrodinger operator, in the case of eigenvalues associated with quasi-modes supported on KAM or Birkhoff tori.

math.DS2002

Integrability, hyperbolic flows and the Birkhoff normal form

M. Rouleux

We prove that a Hamiltonian $p \in C^{\infty} (T^{*} R^{n})$ is locally integrable near a non-degenerate critical point $ρ_{0}$ of the energy, provided that the fundamental matrix at $ρ…