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Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections
Hamiltonian vector field Anosov flow elliptic point homoclinic tangency
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2011/9/16
Abstract: 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 is either ...