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Memoirs of the American Mathematical Society
2004; 83 pp; softcover
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Order Code: MEMO/167/792
We consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic dependence on time, which are perturbations of an autonomous system.
We suppose that the origin is a parabolic fixed point with non-diagonalizable linear part and that the unperturbed system has a homoclinic connection associated to it. We provide a set of hypotheses under which the splitting is exponentially small and is given by the Poincaré-Melnikov function.
Graduate students and research mathematicians interested in dynamical systems and ergodic theory.
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