Nikolay Nekhoroshev

Nikolay Nekhoroshev
Nikolai Nekhoroshev

Nikolai Nikolaevich Nekhoroshev (Russian: Николай Николаевич Нехорошев, born 2 October 1946, died 18 October 2008) was a prominent Soviet Russian mathematician, specializing in classical mechanics and dynamical systems. His research concerned Hamiltonian mechanics, perturbation theory, celestial mechanics, integrable systems, dynamical systems, the quasiclassical approximation, and singularity theory. He proved, in particular, a stability result in KAM-theory stating that, under certain conditions, solutions of nearly integrable systems stay close to invariant tori for exponentially long times (Giorgilli 1989).

Nekhoroshev was professor of the Moscow State University and University of Milan. He is an alumnus of Moscow's boarding school no. 18 (1964).

References

  • Anosov, D.V., ed. (1977), "On the behavior of near integrable systems", 20 Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974, AMS Translations 2, 109, N.Y.: AMS Bookstore, pp. 87–90, ISBN 0-821-83059-7, 978-0-821-83059-8 .
  • Giorgilli, Antonio (1989), "Effective stability in Hamiltonian systems in the light of Nekhoroshev's theorem", Integrable Systems and Applications, 342, Berlin, New York: Springer-Verlag, pp. 142–153, doi:10.1007/BFb0035669, ISBN 978-3-540-51615-6 .

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  • Nekhoroshev estimates — The Nekhoroshev estimates are an important result in the theory of Hamiltonian systems concerning the long time stability of solutions of integrable systems under a small perturbation of the Hamiltonian. The first paper on the subject was written …   Wikipedia

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