Anatoli Isserowitsch Neischtadt

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Anatoli Isserowitsch Neischtadt ( Russian Анатолий Исерович Нейштадт , English transcription Anatoly Neishtadt ; born July 27, 1950 ) is a Russian mathematician.

Neischtadt received his doctorate from Lomonossow University in 1976 and habilitated there in 1990 (Russian doctorate) and became a professor in 1992. From 1975 to 1987 he was at the Institute of Medical Technology and from 1987 head scientist and from 1990 head of the Laboratory for Nonlinear and Chaotic Dynamics of the Institute for Space Research of the Russian Academy of Sciences and from 1999 to 2007 professor at Lomonosov University. He has also been a professor at Loughborough University since 2007 (he remains at the Moscow Institute for Space Research).

He was visiting scholar and visiting professor at the Courant Institute, the Georgia Institute of Technology, the University of Texas at Austin, the University of California, Los Angeles, the University of Chicago, the universities of Barcelona, ​​Milan, Bologna, Padua, Göttingen, Marseille and at the Paris Observatory.

Neischtadt deals with dynamic systems, celestial mechanics, nonlinear vibrations, plasmas, hydrodynamics, perturbation theory, adiabatic invariants and bifurcation theory.

He was editor-in-chief of Nonlinearity from 2005 to 2014 and was editor of Chaos from 1991 .

In 1990 he was invited speaker at the International Congress of Mathematicians in Kyoto (Averaging and passages through resonances) and in 2004 at the International Congress of Theoretical and Applied Mechanics in Warsaw (Probability phenomena in perturbed dynamical systems).

In 2001 he received the Lyapunov Prize .

Fonts (selection)

  • with AG Medvedev, DV Treschev : Lagrangian tori near resonances of near-integrable Hamiltonian systems, Nonlinearity, Volume 28, 2015, pp. 2105-2130
  • Averaging, passage through resonances, and capture into resonance in two-frequency systems, Uspekhi Mat. Nauk. (Russ. Math. Surveys), Volume 69, 2014, pp. 3-80
  • with S. Kuksin : On quantum averaging, quantum KAM, and quantum diffusion, Uspekhi Mat. Nauk. (Russ. Math. Surveys), Volume 68, 2013, pp. 145–158
  • with Wladimir Arnold , Valery Kozlov : Dynamical Systems III: Mathematical Aspects of Classical and Celestial Mechanics, Encyclopedia of Mathematical Sciences, Springer 2006 (first 1987)
  • Passage through a separatrix in a resonance problem with a slowly-varying parameter, Journal of Applied Mathematics and Mechanics, Volume 39, 1975, pp. 594-605
  • The separation of motions in systems with rapidly rotating phase, Journal of Applied Mathematics and Mechanics, Volume 48, 1984, pp. 133-139
  • with A. Vasiliev: Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system, Nonlinearity, Volume 12, 1999, pp. 303-320
  • Change of an adiabatic invariant at a separatrix, Soviet J. of Plasma Physics, Volume 12, 1986, pp. 568-573
  • Persistence of stability loss for dynamical bifurcations, 2 parts, Differential Equations, Volume 23, 1987, pp. 1385-1391, Volume 24, 1988, pp. 171-176

Web links

personal data
SURNAME Neischtadt, Anatoli Isserowitsch
ALTERNATIVE NAMES Нейштадт, Анатолий Исерович (Russian); Neishtadt, Anatoly (English)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH July 27, 1950