Generic hamiltonian dynamics

Bessa, Mário; Ferreira, Célia; Rocha, Jorge; Varandas, Paulo

http://hdl.handle.net/10400.2/13834

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In this paper we contribute to the generic theory of Hamiltonians by proving that there is a C2-residual R in the set of C2 Hamiltonians on a closed symplectic manifold M, such that, for any H ∈ R, there is a full measure subset of energies e in H(M) such that the Hamiltonian level (H, e) is topologically mixing; moreover these level sets are homoclinic classes.