Generic Hamiltonian Dynamics

Details Generic Hamiltonian Dynamics Generic Hamiltonian Dynamics

2012-03-17

arxiv.org/abs/1203.3849v1

Mathematics

Dynamical Systems

24 pages, 8 figures

Scientific paper

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 in R, there is an open and dense
set S(H) in H(M) such that, for every e in S(H), the Hamiltonian level (H,e) is
topologically mixing.

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