Journal of Mathematical Sciences

, Volume 124, Issue 5, pp 5275–5289

Arnold Diffusion. I: Announcement of Results

  • J. N. Mather

DOI: 10.1023/B:JOTH.0000047353.78307.09

Cite this article as:
Mather, J.N. Journal of Mathematical Sciences (2004) 124: 5275. doi:10.1023/B:JOTH.0000047353.78307.09


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.

Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • J. N. Mather
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrinceton