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math.DS2011
Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections
Mário Bessa, João Lopes Dias
In this note we show that for any Hamiltonian defined on a symplectic 4-manifold M and any point p in M, there exists a C2-close Hamiltonian whose regular energy surface through p…
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…