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Generic hamiltonian dynamics

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Resumo(s)

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.

Descrição

Palavras-chave

Hamiltonian vector field Topological transitivity Topological mixing Pseudo-orbits

Contexto Educativo

Citação

Bessa, M., Ferreira, C., Rocha, J., Varandas, P.. Generic Hamiltonian Dynamics. J Dyn Diff Equat 29, 203–218 (2017)

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