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Contemporary Mathematics. Fundamental Directions, 2003, Volume 2, Pages 116–130 (Mi cmfd27)  
This article is cited in 46 scientific papers (total in 46 papers)

Arnold Diffusion. I: Announcement of Results

J. N. Mather

Princeton University, Department of Mathematics
Full-text PDF (237 kB) Citations (46)
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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.
English version:
Journal of Mathematical Sciences, 2004, Volume 124, Issue 5, Pages 5275–5289
DOI: https://doi.org/10.1023/B:JOTH.0000047353.78307.09
Bibliographic databases:
UDC: 517.925+517.958
Language: Russian
Citation: J. N. Mather, “Arnold Diffusion. I: Announcement of Results”, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 2, CMFD, 2, MAI, M., 2003, 116–130; Journal of Mathematical Sciences, 124:5 (2004), 5275–5289
Citation in format AMSBIB
\Bibitem{Mat03}
\by J.~N.~Mather
\paper Arnold Diffusion. I: Announcement of Results
\inbook Proceedings of the International Conference on Differential and Functional-Differential Equations --- Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11--17 August, 2002). Part~2
\serial CMFD
\yr 2003
\vol 2
\pages 116--130
\publ MAI
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd27}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2129140}
\zmath{https://zbmath.org/?q=an:1069.37044}
\transl
\jour Journal of Mathematical Sciences
\yr 2004
\vol 124
\issue 5
\pages 5275--5289
\crossref{https://doi.org/10.1023/B:JOTH.0000047353.78307.09}
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    • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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