This article is cited in 48 papers

Arnold Diffusion. I: Announcement of Results

J. N. Mather

Princeton University, Department of Mathematics

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.

UDC: 517.925+517.958

 English version: Journal of Mathematical Sciences, 2004, 124:5, 5275–5289

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