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