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Arnold Diffusion. I: Announcement of Results

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Abstract

We announce a proof of the existence of Arnold diffusion for a large class of small perturbations of integrable Hamiltonian systems with positive normal torsion in the case of time-periodic systems in two degrees of freedom and in the case of autonomous systems in three degrees of freedom.

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  1. Department of Mathematics, Princeton University, Princeton

    J. N. Mather

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  1. J. N. Mather
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Mather, J.N. Arnold Diffusion. I: Announcement of Results. Journal of Mathematical Sciences 124, 5275–5289 (2004). https://doi.org/10.1023/B:JOTH.0000047353.78307.09

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  • DOI: https://doi.org/10.1023/B:JOTH.0000047353.78307.09

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