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math.DS2007
Local conjugacy classes for analytic torus flows
Joao Lopes Dias
If a real-analytic flow on the multidimensional torus close enough to linear has a unique rotation vector which satisfies an arithmetical condition Y, then it is analytically conju…
math.DS2007★ 31 cited
Generic dynamics of 4-dimensional C2 Hamiltonian systems
Mario Bessa, Joao Lopes Dias
We study the dynamical behaviour of Hamiltonian flows defined on 4-dimensional compact symplectic manifolds. We find the existence of a C2-residual set of Hamiltonians for which ev…