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Neishtadt, Anatolii Iserovich

Statistics Math-Net.Ru
Total publications: 37
Scientific articles: 29
Presentations: 11

Number of views:
This page:2585
Abstract pages:16586
Full texts:6464
References:853
Professor
Doctor of physico-mathematical sciences (1989)
Speciality: 01.02.01 (Theoretical mechanics)
E-mail: ,

Subject:

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


http://www.mathnet.ru/eng/person18580
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/189201

Publications in Math-Net.Ru
2020
1. 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
2. A. I. Neishtadt, A. V. Artemyev, “Hamiltonian in Guiding Center Theory: A Symplectic Structure Approach”, Trudy MIAN, 310 (2020),  230–236  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 310 (2020), 214–219  isi  scopus
2019
3. 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
2015
4. 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
2014
5. 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
2013
6. 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
7. 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
8. 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
2012
9. 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
2011
10. 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
2009
11. 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
2008
12. 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
2007
13. 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 MIAN, 259 (2007),  243–255  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 259 (2007), 236–247  elib  scopus
2005
14. A. I. Neishtadt, “Capture into Resonance and Scattering on Resonances in Two-Frequency Systems”, Trudy MIAN, 250 (2005),  198–218  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 250 (2005), 183–203
2003
15. A. I. Neishtadt, V. V. Sidorenko, “Wisdom system: dynamics in the adiabatic approximation”, Keldysh Institute preprints, 2003, 068, 23 pp.  mathnet
16. 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
17. A. P. Itin, A. I. Neishtadt, “Resonant Phenomena in Slowly Perturbed Elliptic Billiards”, Regul. Chaotic Dyn., 8:1 (2003),  59–66  mathnet  mathscinet  zmath
18. 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
2002
19. 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
20. 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
21. 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
1998
22. 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
23. 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
24. 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
1987
25. 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
26. 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
1985
27. 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
1976
28. A. I. Neishtadt, “Averaging in multifrequency systems. II”, Dokl. Akad. Nauk SSSR, 226:6 (1976),  1295–1298  mathnet  mathscinet  zmath
1975
29. A. I. Neishtadt, “Averaging in multifrequency systems”, Dokl. Akad. Nauk SSSR, 223:2 (1975),  314–317  mathnet  mathscinet  zmath
30. A. I. Neishtadt, “Passage through a resonance in the two-frequency problem”, Dokl. Akad. Nauk SSSR, 221:2 (1975),  301–304  mathnet  mathscinet  zmath

2020
31. 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; Russian Math. Surveys, 75:6 (2020), 1165–1180  isi
2016
32. 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
33. 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
34. 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
35. 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
2009
36. 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
1997
37. 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
1985
38. 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

Presentations in Math-Net.Ru
1. 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   
2. 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   
3. 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
4. On mechanisms of destruction of adiabatic invariance
A. I. Neishtadt
International scientific conference "Days of Classical Mechanics"
January 26, 2015 12:20   
5. On mechanisms of destruction of adiabatic invariance
A. I. Neishtadt
International Conference on Differential Equations and Dynamical Systems
July 6, 2014 09:45
6. 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
August 21, 2013 14:00
7. Об адиабатической инвариантности для бильярдов в сильном неоднородном магнитном поле
A. I. Neishtadt
Hamiltonian systems and statistical mechanics
March 18, 2013
8. Homogenization of perturbations in dynamical systems. Lecture 3
A. I. Neishtadt
Summer School on Geometry and Mathematical Physics 2011
July 1, 2011 10:00   
9. Homogenization of perturbations in dynamical systems. Lecture 2
A. I. Neishtadt
Summer School on Geometry and Mathematical Physics 2011
June 30, 2011 11:40   
10. Homogenization of perturbations in dynamical systems. Lecture 1
A. I. Neishtadt
Summer School on Geometry and Mathematical Physics 2011
June 29, 2011 14:50
11. Dragging out of the stability loss in the dynamical bifurcations
A. I. Neishtadt
Meetings of the St. Petersburg Mathematical Society
April 2, 2002

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