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arXiv · 1203.3849

Generic Hamiltonian Dynamics

Mario Bessa·Celia Ferreira·Jorge Rocha·Paulo Varandas
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Abstract

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 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.

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Mario Bessa, Celia Ferreira, Jorge Rocha, Paulo Varandas. 2015-02-12. Generic Hamiltonian Dynamics. https://arxiv.org/abs/1203.3849

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