Weakly mixing invariant tori of Hamiltonian systems
The author proves the theorem: Given a real analytic Hamiltonian \(H\) for which there exists an invariant torus \(N\) on which the dynamics is quasi-periodic, there exists a Hamiltonian \(K\) arbitrarily close to \(H\) for which the same torus is still invariant and for which the dynamics on \(N\) is ergodic and weakly mixing.
scientific article; zbMATH DE number 1379920