Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Neishtadt, Anatolii Iserovich
Professor
Doctor of physico-mathematical sciences (1989)
Speciality: 01.02.01 (Theoretical mechanics)
E-mail: ,
Website: https://ipmnet.ru/RNCTAM/staff/n/

Subject:

Dynamical systems, perturbation theory, adiabatic invariants, bifurcation theory, applications in celestial mechanics, theory of motion of charged particles, hydrodinamics.

https://www.mathnet.ru/eng/person18580
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/189201
https://elibrary.ru/author_items.asp?authorid=3365
https://orcid.org/0000-0003-4011-1349
https://www.researchgate.net/profile/A-Neishtadt

Publications in Math-Net.Ru Citations
2025
1. Joshua Skinner, Anatoly Neishtadt, “Unusual properties of adiabatic invariance in a billiard model related to the adiabatic Piston problem”, Theor. Appl. Mech., 52:1 (2025),  9–16  mathnet
2024
2. A. I. Neishtadt, “On a Kinematic Proof of the Canonicity of Andoyer Variables”, Trudy Mat. Inst. Steklova, 327 (2024),  249–253  mathnet; Proc. Steklov Inst. Math., 327 (2024), 236–240  scopus
2023
3. Yuyang Gao, Anatoly Neishtadt, Alexey Okunev, “On Phase at a Resonance in Slow-Fast Hamiltonian Systems”, Regul. Chaotic Dyn., 28:4-5 (2023),  585–612  mathnet 1
2021
4. A. I. Neishtadt, D. V. Treschev, “Dynamical phenomena connected with stability loss of equilibria and periodic trajectories”, Uspekhi Mat. Nauk, 76:5(461) (2021),  147–194  mathnet  mathscinet  zmath; Russian Math. Surveys, 76:5 (2021), 883–926  isi  scopus 11
2020
5. Anton V. Artemyev, Anatoly I. Neishtadt, Alexei A. Vasiliev, “A Map for Systems with Resonant Trappings and Scatterings”, Regul. Chaotic Dyn., 25:1 (2020),  2–10  mathnet  isi  scopus 10
6. A. I. Neishtadt, A. V. Artemyev, “Hamiltonian in Guiding Center Theory: A Symplectic Structure Approach”, Trudy Mat. Inst. Steklova, 310 (2020),  230–236  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 310 (2020), 214–219  isi  scopus 4
2019
7. Sergei Yu. Dobrokhotov, Dmitrii S. Minenkov, Anatoly I. Neishtadt, Semen B. Shlosman, “Classical and Quantum Dynamics of a Particle in a Narrow Angle”, Regul. Chaotic Dyn., 24:6 (2019),  704–716  mathnet  isi  scopus 3
2015
8. A. G. Medvedev, A. I. Neishtadt, D. V. Treschev, “Lagrangian tori near resonances of near-integrable Hamiltonian systems”, Nonlinearity, 28:7 (2015),  2105–2130  mathnet  mathscinet  zmath  isi  elib  scopus 21
2014
9. A. I. Neishtadt, “Averaging, passage through resonances, and capture into resonance in two-frequency systems”, Uspekhi Mat. Nauk, 69:5(419) (2014),  3–80  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:5 (2014), 771–843  isi  scopus 40
2013
10. Anatoly I. Neishtadt, Alexey A. Vasiliev, Anton V. Artemyev, “Capture into Resonance and Escape from it in a Forced Nonlinear Pendulum”, Regul. Chaotic Dyn., 18:6 (2013),  686–696  mathnet  mathscinet  zmath  isi 30
11. S. B. Kuksin, A. I. Neishtadt, “On quantum averaging, quantum KAM, and quantum diffusion”, Uspekhi Mat. Nauk, 68:2(410) (2013),  145–158  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:2 (2013), 335–348  isi  elib  scopus 5
12. L. M. Zelenyi, A. I. Neishtadt, A. V. Artemyev, D. L. Vainchtein, H. V. Malova, “Quasiadiabatic dynamics of charged particles in a space plasma”, UFN, 183:4 (2013),  365–415  mathnet  elib; Phys. Usp., 56:4 (2013), 347–394  isi  elib 80
2012
13. Anatoly Neishtadt, Tan Su, “On Phenomenon of Scattering on Resonances Associated with Discretisation of Systems with Fast Rotating Phase”, Regul. Chaotic Dyn., 17:3-4 (2012),  359–366  mathnet  mathscinet  zmath  scopus 1
2011
14. A. I. Neishtadt, A. A. Vasiliev, A. V. Artemyev, “Resonance-induced surfatron acceleration of a relativistic particle”, Mosc. Math. J., 11:3 (2011),  531–545  mathnet  mathscinet  isi 10
2009
15. A. I. Neishtadt, A. V. Artemyev, L. M. Zelenyi, D. L. Vainshtein, “Surfatron acceleration in electromagnetic waves with a low phase velocity”, Pis'ma v Zh. Èksper. Teoret. Fiz., 89:9 (2009),  528–534  mathnet; JETP Letters, 89:9 (2009), 441–447  isi  scopus 35
2008
16. I. V. Gorelyshev, A. I. Neishtadt, “Change of the Ray Propagation Mode in Smoothly Irregular Waveguides”, Mat. Zametki, 84:3 (2008),  348–364  mathnet  mathscinet  zmath  elib; Math. Notes, 84:3 (2008), 328–341  isi  elib  scopus 1
2007
17. A. A. Vasil'ev, A. I. Neishtadt, C. Simó, D. V. Treschev, “Stability Islands in Domains of Separatrix Crossings in Slow–Fast Hamiltonian Systems”, Trudy Mat. Inst. Steklova, 259 (2007),  243–255  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 259 (2007), 236–247  elib  scopus 7
2005
18. A. I. Neishtadt, “Capture into Resonance and Scattering on Resonances in Two-Frequency Systems”, Trudy Mat. Inst. Steklova, 250 (2005),  198–218  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 250 (2005), 183–203 31
2003
19. A. I. Neishtadt, V. V. Sidorenko, “Wisdom system: dynamics in the adiabatic approximation”, Keldysh Institute preprints, 2003, 068, 23 pp.  mathnet
20. A. I. Neishtadt, “On averaging in two-frequency systems with small Hamiltonian and much smaller non-Hamiltonian perturbations”, Mosc. Math. J., 3:3 (2003),  1039–1052  mathnet  mathscinet  zmath  isi 6
21. A. P. Itin, A. I. Neishtadt, “Resonant Phenomena in Slowly Perturbed Elliptic Billiards”, Regul. Chaotic Dyn., 8:1 (2003),  59–66  mathnet  mathscinet  zmath 13
22. A. P. Itin, A. I. Neishtadt, A. A. Vasil'ev, “Resonant phenomena in slowly irregular rectangular waveguides”, Zap. Nauchn. Sem. POMI, 300 (2003),  173–179  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:2 (2005), 2778–2781 5
2002
23. A. A. Vasiliev, D. J. Scheeres, A. I. Neishtadt, V. V. Sidorenko, P. Stooke, “Reactive torque influence onto rotation of comet nuclei”, Keldysh Institute preprints, 2002, 020, 31 pp.  mathnet
2001
24. A. A. Vasiliev, D. J. Scheeres, A. I. Neishtadt, V. V. Sidorenko, “Evolution of comet nucleus rotation”, Keldysh Institute preprints, 2001, 012, 32 pp.  mathnet
2000
25. A. I. Neishtadt, “On the Accuracy of Persistence of Adiabatic Invariant in Single-frequency Systems”, Regul. Chaotic Dyn., 5:2 (2000),  213–218  mathnet  mathscinet  zmath 13
1998
26. A. A. Vasiliev, A. P. Itin, A. I. Neishtadt, “On dynamics of four globally phase-coupled oscillators with close frequencies”, Regul. Chaotic Dyn., 3:1 (1998),  9–18  mathnet
1997
27. A. A. Vasiliev, A. P. Itin, A. I. Neishtadt, “On dynamics of four globally phase-coupled oscillators with close frequencies”, Regul. Chaotic Dyn., 2:3-4 (1997),  21–29  mathnet  mathscinet  zmath
1988
28. A. I. Neishtadt, “Prolongation of the loss of stability in the case of dynamic bifurcations. II”, Differ. Uravn., 24:2 (1988),  226–233  mathnet  mathscinet; Differ. Equ., 24:2 (1988), 171–176 20
1987
29. A. I. Neishtadt, “Jumps of the adiabatic invariant on crossing the separatrix, and the origin of the Kirkwood gap $3:1$”, Dokl. Akad. Nauk SSSR, 295:1 (1987),  47–50  mathnet  mathscinet 4
30. A. I. Neishtadt, “Prolongation of the loss of stability in the case of dynamic bifurcations. I”, Differ. Uravn., 23:12 (1987),  2060–2067  mathnet  mathscinet  zmath 20
1985
31. V. I. Arnol'd, V. V. Kozlov, A. I. Neishtadt, “Mathematical aspects of classical and celestial mechanics”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 3 (1985),  5–290  mathnet  mathscinet  zmath 79
1976
32. A. I. Neishtadt, “Averaging in multifrequency systems. II”, Dokl. Akad. Nauk SSSR, 226:6 (1976),  1295–1298  mathnet  mathscinet  zmath 9
1975
33. A. I. Neishtadt, “Averaging in multifrequency systems”, Dokl. Akad. Nauk SSSR, 223:2 (1975),  314–317  mathnet  mathscinet  zmath 1
34. A. I. Neishtadt, “Passage through a resonance in the two-frequency problem”, Dokl. Akad. Nauk SSSR, 221:2 (1975),  301–304  mathnet  mathscinet  zmath 8
2025
35. S. V. Bolotin, O. È. Zubelevich, V. V. Kozlov, S. B. Kuksin, A. I. Neishtadt, “Dmitry Valerievich Treschev (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 80:1(481) (2025),  165–170  mathnet  mathscinet; Russian Math. Surveys, 80:1 (2025), 155–160  isi
2020
36. S. V. Bolotin, A. V. Borisov, A. V. Karapetyan, B. S. Kashin, E. I. Kugushev, A. I. Neishtadt, D. O. Orlov, D. V. Treschev, “Valerii Vasil'evich Kozlov (on his 70th birthday)”, Uspekhi Mat. Nauk, 75:6(456) (2020),  179–192  mathnet  mathscinet  zmath; Russian Math. Surveys, 75:6 (2020), 1165–1180  isi
2016
37. Alekseí V. Borisov, Alekseí V. Bolsinov, Anatolií I. Nejshtadt, Dmitrií A. Sadovskií, Boris I. Zhilinskií, “Nikolaí N. Nekhoroshev”, Regul. Chaotic Dyn., 21:6 (2016),  593–598  mathnet  isi
2015
38. S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Uspekhi Mat. Nauk, 70:2(422) (2015),  181–191  mathnet  mathscinet  elib; Russian Math. Surveys, 70:2 (2015), 369–381  isi
2012
39. D. V. Anosov, V. S. Afraimovich, L. A. Bunimovich, S. V. Gonchenko, V. Z. Grines, Yu. S. Ilyashenko, A. B. Katok, S. A. Kashchenko, V. V. Kozlov, L. M. Lerman, A. D. Morozov, A. I. Neishtadt, Ya. B. Pesin, A. M. Samoilenko, Ya. G. Sinai, D. V. Treschev, D. V. Turaev, A. N. Sharkovskii, A. L. Shil'nikov, “Leonid Pavlovich Shil'nikov (obituary)”, Uspekhi Mat. Nauk, 67:3(405) (2012),  175–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:3 (2012), 573–577  isi
2010
40. A. I. Neishtadt, A. V. Artemyev, L. M. Zelenyi, “Regular and chaotic charged particle dynamics in low frequency waves and role of separatrix crossings”, Regul. Chaotic Dyn., 15:4-5 (2010),  564–574  mathnet  mathscinet  zmath 8
2009
41. A. M. Abramov, V. I. Arnol'd, A. V. Bolsinov, A. N. Varchenko, L. Galgani, B. I. Zhilinskii, Yu. S. Il'yashenko, V. V. Kozlov, A. I. Neishtadt, V. I. Piterbarg, A. G. Khovanskii, V. V. Yashchenko, “Nikolai Nikolaevich Nekhoroshev (obituary)”, Uspekhi Mat. Nauk, 64:3(387) (2009),  174–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 64:3 (2009), 561–566  isi 3
1997
42. D. V. Anosov, A. A. Bolibrukh, V. A. Vassiliev, A. M. Vershik, A. A. Gonchar, M. L. Gromov, S. M. Gusein-Zade, V. M. Zakalyukin, Yu. S. Ilyashenko, V. V. Kozlov, M. L. Kontsevich, Yu. I. Manin, A. I. Neishtadt, S. P. Novikov, Yu. S. Osipov, M. B. Sevryuk, Ya. G. Sinai, A. N. Tyurin, L. D. Faddeev, B. A. Khesin, A. G. Khovanskii, “Vladimir Igorevich Arnol'd (on his 60th birthday)”, Uspekhi Mat. Nauk, 52:5(317) (1997),  235–255  mathnet  mathscinet; Russian Math. Surveys, 52:5 (1997), 1117–1139  isi 2
1985
43. V. Ya. Rivkind, S. P. Novikov, V. M. Petkov, V. P. Myasnikov, M. V. Fedoryuk, V. V. Kucherenko, A. A. Davydov, A. I. Neishtadt, S. N. Kruzhkov, S. A. Molchanov, A. A. Ruzmaikin, D. D. Sokolov, Yu. M. Sukhov, A. G. Shukhov, B. R. Vainberg, V. I. Bakhtin, A. G. Vainshtein, B. Z. Shapiro, V. A. Kondrat'ev, O. A. Oleinik, M. I. Vishik, S. B. Kuksin, A. G. Korolev, Yu. S. Ilyashenko, “Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics”, Uspekhi Mat. Nauk, 40:5(245) (1985),  295–307  mathnet 12

Presentations in Math-Net.Ru
1. On probability of capture into 1:1 ground-track resonance while descending towards an asteroid
A. I. Neishtadt
Dynamics days in Sirius. On the occasion of academician Dmitry V. Treschev’s anniversary
November 1, 2024 10:00
2. Усреднение и прохождение через резонансы для двухчастотных систем вблизи сепаратрис
A. I. Neishtadt,
Dobrushin Mathematics Laboratory Seminar
March 1, 2022 16:00
3. Two model problems about charged particles motion with remarkable dynamics
A. I. Neishtadt
International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday
January 20, 2020 12:35   
4. On adiabatic perturbation theory for systems with elastic collisions
A. Neishtadt
International conference Contemporary mathematics devoted to 80 anniversary of V. I. Arnold
December 19, 2017 12:30   
5. Long-term behaviour of slow–fast systems with passages through resonances: Examples from charged particle dynamics
Anatoly Neishtadt
International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov
December 22, 2016 09:00
6. On mechanisms of destruction of adiabatic invariance
A. I. Neishtadt
International scientific conference "Days of Classical Mechanics"
January 26, 2015 12:20   
7. On mechanisms of destruction of adiabatic invariance
A. I. Neishtadt
International Conference on Differential Equations and Dynamical Systems
July 6, 2014 09:45
8. Прохождение через резонансы и захват в резонанс в динамике заряженных частиц
A. I. Neishtadt
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
August 21, 2013 14:00
9. Об адиабатической инвариантности для бильярдов в сильном неоднородном магнитном поле
A. I. Neishtadt
Hamiltonian systems and statistical mechanics
March 18, 2013
10. Homogenization of perturbations in dynamical systems. Lecture 3
A. I. Neishtadt
Summer School on Geometry and Mathematical Physics 2011
July 1, 2011 10:00   
11. Homogenization of perturbations in dynamical systems. Lecture 2
A. I. Neishtadt
Summer School on Geometry and Mathematical Physics 2011
June 30, 2011 11:40   
12. Homogenization of perturbations in dynamical systems. Lecture 1
A. I. Neishtadt
Summer School on Geometry and Mathematical Physics 2011
June 29, 2011 14:50
13. Dragging out of the stability loss in the dynamical bifurcations
A. I. Neishtadt
Meetings of the St. Petersburg Mathematical Society
April 2, 2002

Organisations