Professor Anatoly Neishtadt

Pronouns: He/him
  • Professor of Applied Mathematics

Research groups and centres

Publications
Anatoly Neishtadt

Education

  • 1972: Moscow State University, Department of Mathematics and Mechanics
  • 1975: Post-graduate course of the same Department

Degrees

  • 1976, Ph.D. in Mathematics, Moscow State University
  • 1990, Doctor of Sciences (Mathematics), Moscow State University

Employment

  • 1975-1979, Junior Research Fellow at All-Union Institute of Medical Engineering, Moscow
  • 1979-1987,  Senior Research Fellow at All-Union Institute of Medical Engineering, Moscow
  • 1987-1990, Senior Research Fellow at Space Research Institute of  USSR Academy of Sciences, Moscow
  • 1990- 1990, Leading  Research Fellow at  Space Research Institute of USSR Academy of Sciences, Moscow
  • 1990- 2013, Leading Research Fellow, Head of the Laboratory of Nonlinear and Chaotic Dynamics at Space Research Institute of Russian Academy of Sciences (RAS),  Moscow
  • 2014-2022, Leading Research Fellow at Space Research Institute of Russian Academy of Sciences (RAS), Moscow
  • 1996-2007, Professor, Institute of Natural Sciences and Ecology of Russian Scientific Centre  “Kurchatov Insitute” (since 2007 Depatment of Nanotechnology and Informatics, Moscow Institute of Physics and Technology) 
  • 1999-2007, Professor, Moscow State University, Department of Mathematics and Mechanics
  • 2007-present, Professor of Applied Mathematics, Department of  Mathematical Sciences, Loughborough University 

Professional Memberships

  • 1976-present, Moscow Mathematical Society
  • 1996-2010, Executive Committee of Moscow Mathematical Society
  • 2000-present, Fellow of the Institute of Physics
  • 1995-present, Member of Russian National Committee on Theoretical and Applied Mechanics
  • 1992-2014, Member of Qualification  Council in Theoretical Physics, Space  Research Institute of RAS
  • 1997-2007, Member of  Qualification  Council  in Mechanics, Moscow State University
  • 2005-2016, Member of Advisory Committee of Russian Foundation of   Fundamental Research
  • 1991-2001, Member of Editorial Board, “Journal of Nonlinear Science”
  • 1991-2018, Editor, “Chaos, An Interdisciplinary Journal of Nonlinear Science”
  • 1996-2016, Member of Editorial Board, “Regular and Chaotic Dynamics”
  • 1998-2004, Member of Editorial Board, “Nonlinearity”
  • 2005-2014, Editor-in-Chief, “Nonlinearity” (Co- Editor-in-Chief with Jon Keating, then with Edgar Knobloch)
  • 2011-present, London Mathematical Society

Awards

  • 2001, Lyapunov Prize of Russian Academy of Sciences (joint with D. V. Anosov)
  • 1998-2003, Russian State Fellowships for Distinguished Scientists of Russia

Invited talks

  • Invited speaker at various seminars and international conferences, including:
  • 1990 International Congress of Mathematicians (Kyoto), “Averaging and passages through resonances”
  • 2004 International Congress on Theoretical and Applied Mechanics (Warsaw), “Probability phenomena in perturbed dynamical systems”  

Principal area of research

Applied dynamical systems, perturbation theory, averaging method, adiabatic invariants, bifurcation theory, problems with slow and fast motions in celestial mechanics, dynamics of charged particles and hydrodynamics 

Teaching Experience

Courses at Moscow State University, Kurchatov Institute, and Loughborough University:

  • Ordinary Differential Equations
  • Basics of Perturbation Theory
  • Adiabatic Invariants of Dynamical Systems
  • Averaging of Perturbations in Dynamical Systems
  • Probability Phenomena in Dynamical Systems
  • Analytical Dynamics
  • Introduction to Dynamical Systems

Visiting Professorships/Positions (for periods from one to three months)

  • Courant Institute for Mathematical Sciences, New York, 1990, 1991;
  • University of Chicago, 1991, 1992, 1994, 1998;
  • Georgia Institute of Technology, 1994;
  • University of Texas at Austin, 1997, 1999;
  • University of California, Los Angeles, 2003;
  • Barcelona University, 1995, 1999, 2004, 2005;
  • Padua University, 2002, 2003, 2005, 2006;
  • University of Milan, 1993;
  • University of Bologna, 1992;
  • Paris Observatory, 2000, 2003;
  • University of Marseilles, 2000, 2003;
  • University of Groningen, 1995.  

Organizing activities

  • Member of Organizing/Scientific Committees of various international conferences including:
  • 2003 NATO Advanced Study Institute – Summer School "Chaotic Dynamics and Transport in Classical and Quantum Systems ", Co-Director (with Prof. G. Zaslavsky) 
  • 2007 NATO Advanced Study Institute – Summer School "Hamiltonian Dynamical Systems and Applications", Co-Director (with Prof. W. Craig)  
  • 2011 Fields Institute Thematic Program "Dynamics and Transport in Disordered Systems", Co-organiser (with Profs. D. Dolgopyat, K. Khanin, R. de la Llave, J. Quastel, B. Toth) 

Grants received

Russian Foundation of Fundamental Research:

  • 94-01-00512 “Resonant problems of perturbation theory”, 1994-1996
  • 97-01-00350 “Adiabatic invariants of systems with slow and fast motions”, 1997-1999
  • 00-01-00538 “Probabilistic phenomena in perturbed dynamical systems”, 2000-2002
  • 03-01-00158 “Averaging of perturbations in nonlinear resonant systems”, 2003-2005
  • 06-01-00017 “Problems of asymptotic investigation of dynamics of systems with slow and fast motions”, 2006-2008

International Science Foundation (ISF):

  • MHN000 “Investigation of stability loss delay for dynamical bifurcations”, 1994-1995

U.S. Civilian Research and Development Foundation (CRDF):

  • RM1-184 “Origin of complex behavior in several applied problems, in particular those including fast forcing and break down of adiabatic invariance”, 1996-1998, Co-Principal Investigator (with Prof. R. de la Llave)

The International Association for the Promotion of Co-operation with Scientists from the New Independent  States of the Former Soviet Union (INTAS):

  • 93-339 “Hamiltonian dynamics and bifurcations”, 1995-1996, Team Leader
  • 93-339-ext “Hamiltonian dynamics and bifurcations”, 1996-1998, Team Leader
  • 97-10771 “Hyperbolicity and diffusion in Hamiltonian systems”, 1999-2001, Team Leader
  • 00-221 “Chaotic motion and stability in conservative and near-conservative systems”, 2001-2003, Team Leader

US National Aeronautics and Space Administration (NASA):

  • NAG5-8715 “Dynamics in the comet environment”, 1999-2001, Co-Principal Investigator (with Prof. D.Scheeres)

The Leverhulme Trust:

  • RPG-2018-143 “Adiabatic invariance in two-frequency dynamical systems with separatrix crossing”,  2019-2022, Principal Investigator

Applied dynamical systems, perturbation theory, averaging method, adiabatic invariants, bifurcation theory, problems with slow and fast motions in celestial mechanics, dynamics of charged particles and hydrodynamics.

I teach modules MAB255 Analytical Dynamics and MAC148 Introduction to Dynamical Systems.

Professional Memberships

  • 1976-present, Moscow Mathematical Society
  • 1996-2010, Executive Committee of Moscow Mathematical Society
  • 2000-present, Fellow of the Institute of Physics
  • 1995-present, Member of Russian National Committee on Theoretical and Applied Mechanics
  • 1992-2014, Member of Qualification  Council in Theoretical Physics, Space  Research Institute of RAS
  • 1997-2007, Member of  Qualification  Council  in Mechanics, Moscow State University
  • 2005-2016, Member of Advisory Committee of Russian Foundation of   Fundamental Research
  • 1991-2001, Member of Editorial Board, “Journal of Nonlinear Science”
  • 1991-2018, Editor, “Chaos, An Interdisciplinary Journal of Nonlinear Science”
  • 1996-2016, Member of Editorial Board, “Regular and Chaotic Dynamics”
  • 1998-2004, Member of Editorial Board, “Nonlinearity”
  • 2005-2014, Editor-in-Chief, “Nonlinearity” (Co- Editor-in-Chief with Jon Keating, then with Edgar Knobloch)
  • 2011-present, London Mathematical Society

Awards

  • 2001: Lyapunov Prize of Russian Academy of Sciences (joint with D.V.Anosov)
  • 1998-2003: Russian State Fellowships for Distinguished Scientists of Russia
  • D. L. Vainshtein “Destruction of adiabatic invariance in some problems of plasma physics and hydrodynamics”, Space Research Institute of RAS, Moscow, 1997;
  • A. P. Itin “Captures into resonances and scattering on resonances in some problems of plasma physics, hydrodynamics and classical mechanics”, Space Research Institute of RAS, Moscow, 2003;
  • I. V. Gorelyshev “Adiabatic perturbation theory for systems with elastic collisions”, Space Research Institute of RAS, Moscow, 2008;
  • Tan Su “Accuracy of perturbation theory for slow-fast Hamiltonian systems ”, Loughborough University, 2013.
  • Jinrong Bao “Some generalised models in rigid body dynamics”,  Loughborough University, 2019
  • Kaicheng Sheng “Stability and bifurcations in averaged models of dynamics” Loughborough University, 2020