Persons: Neishtadt, Anatolii Iserovich

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Neishtadt, Anatolii Iserovich

Statistics Math-Net.Ru
Total publications:	41
Scientific articles:	33
Presentations:	13

Number of views:
This page:	4504
Abstract pages:	25655
Full texts:	12580
References:	1856

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://www.researchgate.net/profile/A-Neishtadt

	Publications in Math-Net.Ru	Citations
	2023
1.	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
	2021
2.	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 ; Russian Math. Surveys, 76:5 (2021), 883–926	8
	2020
3.	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	9
4.	A. I. Neishtadt, A. V. Artemyev, “Hamiltonian in Guiding Center Theory: A Symplectic Structure Approach”, Trudy Mat. Inst. Steklova, 310 (2020), 230–236 ; Proc. Steklov Inst. Math., 310 (2020), 214–219	3
	2019
5.	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	2
	2015
6.	A. G. Medvedev, A. I. Neishtadt, D. V. Treschev, “Lagrangian tori near resonances of near-integrable Hamiltonian systems”, Nonlinearity, 28:7 (2015), 2105–2130	18
	2014
7.	A. I. Neishtadt, “Averaging, passage through resonances, and capture into resonance in two-frequency systems”, Uspekhi Mat. Nauk, 69:5(419) (2014), 3–80 ; Russian Math. Surveys, 69:5 (2014), 771–843	34
	2013
8.	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	27
9.	S. B. Kuksin, A. I. Neishtadt, “On quantum averaging, quantum KAM, and quantum diffusion”, Uspekhi Mat. Nauk, 68:2(410) (2013), 145–158 ; Russian Math. Surveys, 68:2 (2013), 335–348	4
10.	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 ; Phys. Usp., 56:4 (2013), 347–394	72
	2012
11.	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	1
	2011
12.	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	10
	2009
13.	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 ; JETP Letters, 89:9 (2009), 441–447	35
	2008
14.	I. V. Gorelyshev, A. I. Neishtadt, “Change of the Ray Propagation Mode in Smoothly Irregular Waveguides”, Mat. Zametki, 84:3 (2008), 348–364 ; Math. Notes, 84:3 (2008), 328–341	1
	2007
15.	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 ; Proc. Steklov Inst. Math., 259 (2007), 236–247	6
	2005
16.	A. I. Neishtadt, “Capture into Resonance and Scattering on Resonances in Two-Frequency Systems”, Trudy Mat. Inst. Steklova, 250 (2005), 198–218 ; Proc. Steklov Inst. Math., 250 (2005), 183–203	31
	2003
17.	A. I. Neishtadt, V. V. Sidorenko, “Wisdom system: dynamics in the adiabatic approximation”, Keldysh Institute preprints, 2003, 068, 23 pp.
18.	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	6
19.	A. P. Itin, A. I. Neishtadt, “Resonant Phenomena in Slowly Perturbed Elliptic Billiards”, Regul. Chaotic Dyn., 8:1 (2003), 59–66	13
20.	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 ; J. Math. Sci. (N. Y.), 128:2 (2005), 2778–2781	4
	2002
21.	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.
	2001
22.	A. A. Vasiliev, D. J. Scheeres, A. I. Neishtadt, V. V. Sidorenko, “Evolution of comet nucleus rotation”, Keldysh Institute preprints, 2001, 012, 32 pp.
	2000
23.	A. I. Neishtadt, “On the Accuracy of Persistence of Adiabatic Invariant in Single-frequency Systems”, Regul. Chaotic Dyn., 5:2 (2000), 213–218	10
	1998
24.	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
	1997
25.	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
	1988
26.	A. I. Neishtadt, “Prolongation of the loss of stability in the case of dynamic bifurcations. II”, Differ. Uravn., 24:2 (1988), 226–233 ; Differ. Equ., 24:2 (1988), 171–176	20
	1987
27.	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	4
28.	A. I. Neishtadt, “Prolongation of the loss of stability in the case of dynamic bifurcations. I”, Differ. Uravn., 23:12 (1987), 2060–2067	20
	1985
29.	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	77
	1976
30.	A. I. Neishtadt, “Averaging in multifrequency systems. II”, Dokl. Akad. Nauk SSSR, 226:6 (1976), 1295–1298	9
	1975
31.	A. I. Neishtadt, “Averaging in multifrequency systems”, Dokl. Akad. Nauk SSSR, 223:2 (1975), 314–317	1
32.	A. I. Neishtadt, “Passage through a resonance in the two-frequency problem”, Dokl. Akad. Nauk SSSR, 221:2 (1975), 301–304	8

	2020
33.	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 ; Russian Math. Surveys, 75:6 (2020), 1165–1180
	2016
34.	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
	2015
35.	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 ; Russian Math. Surveys, 70:2 (2015), 369–381
	2012
36.	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 ; Russian Math. Surveys, 67:3 (2012), 573–577
	2010
37.	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	8
	2009
38.	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 ; Russian Math. Surveys, 64:3 (2009), 561–566	3
	1997
39.	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 ; Russian Math. Surveys, 52:5 (1997), 1117–1139	2
	1985
40.	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	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

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