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# Generic Hamiltonian Dynamics

In this paper we contribute to the generic theory of Hamiltonians by proving that there is a $C^2$-residual $\mathcal{R}$ in the set of $C^2$ Hamiltonians on a closed symplectic manifold $M$, such that, for any $H\in\mathcal{R}$, 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.

Grupo de Pesquisa:
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Outros autores:
M. Bessa, C. Ferreira and J. Rocha
Data:
2015
Arquivo: