2010/05/18 by Marie-Claude Arnaud, Arnaud, Marie-Claude
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems
paper · pdf · doi:10.48550/arxiv.1005.3134
The manifold M being compact and connected and H being a Tonelli Hamiltonian such that the cotangent bundle of M is equal to the dual tiered Mane set, we prove that there is a partition of the cotangent bundle of M into invariant C0 Lagrangian graphs. Moreover, among these graphs, those that are C1 cover a residual subset of this cotangent bundle The dynamic restricted to each of these sets is non wandering.