Nikolay Nekhoroshev

Nikolai Nikolaevich Nekhoroshev (Russian: Николай Николаевич Нехорошев; 2 October 1946 – 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

• Nekhoroshev, N.N. (1977), "On the behavior of near integrable systems", in Anosov, D.V. (ed.), 20 Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974, AMS Translations 2, vol. 109, N.Y.: AMS Bookstore, pp. 87–90, ISBN 978-0-821-83059-8.

• Giorgilli, Antonio (1989), "Effective stability in Hamiltonian systems in the light of Nekhoroshev's theorem", Integrable Systems and Applications, vol. 342, Berlin, New York: Springer-Verlag, pp. 142–153, doi:10.1007/BFb0035669, ISBN 978-3-540-51615-6.
• Abramov, A.M.; Arnold, Vl.I.; et al. (2009), "Nikolai Nikolaevich Nekhoroshev (obituary)", Uspekhi Mat. Nauk (in Russian), 64 (3(387)): 174–178.