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Neĭshtadt, Anatoliĭ Iserovich

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Author ID: neishtadt.anatolii-i Recent zbMATH articles by "Neĭshtadt, Anatoliĭ Iserovich"
Published as: Neishtadt, A. I.; Neishtadt, Anatoly; Nejshtadt, A. I.; Neishtadt, Anatoly I.; Neĭshtadt, A. I.; Neishtadt, A.; Neistadt, A. I.; Neishtadt, Anatolii I.; Nejshtadt, Anatolií I.; Neĭshtadt, A.
Homepage: https://www.lboro.ac.uk/departments/maths/staff/anatoly-neishtadt/
External Links: ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr
Documents Indexed: 112 Publications since 1975, including 2 Books
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 105 Co-Authors with 81 Joint Publications
3,094 Co-Co-Authors
all top 5

Co-Authors

31 single-authored
30 Vasil’ev, Alekseĭ Alekseevich
10 Zelenyi, Lev M.
9 Itin, A. P.
9 Treshchev, Dmitriĭ Valer’evich
8 Kozlov, Valeriĭ Vasil’evich
7 Artemyev, Anton V.
6 Sidorenko, Vladislav V.
6 Vainchtein, Dmitri L.
5 Arnol’d, Vladimir Igorevich
4 Simó, Carles
4 Vainshtein, D. L.
3 Sinaĭ, Yakov Grigor’evich
2 Artem’ev, A. V.
2 Bolsinov, Alexey V.
2 Gorelyshev, I. V.
2 Grines, Vyacheslav Zigmundovich
2 Ilyashenko, Yulij Sergeevich
2 Katok, Anatole
2 Lochak, Pierre
2 Sheng, Kaicheng
2 Su, Tan
2 Turaev, Dmitry V.
2 Zhilinskií, Boris I.
1 Abramov, A. M.
1 Afraimovich, Valentin S.
1 Anosov, Dmitriĭ Viktorovich
1 Aseev, Sergei M.
1 Bao, Jinrong
1 Barkov, M. V.
1 Belinski, Vladimir A.
1 Benettin, Giancarlo
1 Bergman, G. P.
1 Bisnovatyĭ-Kogan, Gennadiĭ S.
1 Bolotin, Sergeĭ Vladimirovich
1 Borisov, Alekseĭ Vladimirovich
1 Bukhshtaber, Viktor Matveevich
1 Bunimovich, Leonid Abramovich
1 Chernikov, A. A.
1 Collet, Pierre
1 Courbage, Maurice
1 Davydov, Alekseĭ Aleksandrovich
1 de la Llave, Rafael
1 Dobrokhotov, Sergei Yurievich
1 Erokhin, N. S.
1 Fridman, Alekseĭ Maksimovich
1 Galgani, Luigi
1 Gonchenko, Sergey V.
1 Gorelyshev, Igor
1 Grigorchuk, Rostislav Ivanovich
1 Gurevich, Boris
1 Guzzo, Massimiliano
1 Haller, George
1 Ignatchenko, V. A.
1 Iomin, A. M.
1 Karapetyan, Aleksandr Vladilenovich
1 Kashchenko, Sergeĭ Aleksandrovich
1 Kashin, Boris Sergeevich
1 Khovanskiĭ, Askold Georgievich
1 Kilic, M. S.
1 Klimenko, Alexey V.
1 Kogan, E. Ya.
1 Kolovsky, Andrey R.
1 Kuksin, Sergeĭ B.
1 Lebovitz, Norman R.
1 Leksin, Vladimir Pavlovich
1 Lerman, Lev
1 Medvedev, A. G.
1 Métens, Stéphane
1 Mezić, Igor
1 Minenkov, Dmitrii S.
1 Monastyrskiĭ, Mikhail Il’ich
1 Morozov, Al’bert Dmitrievich
1 Mukhin, Ravil’ Rafkatovich
1 Niederman, Laurent
1 Novikov, Sergeĭ Petrovich
1 Okunev, Alexey
1 Orlov, Dmitri O.
1 Pesin, Yakov Borisovich
1 Piterbarg, Vladimir Il’ich
1 Pivovarov, M. L.
1 Prants, Sergey V.
1 Rogal’skij, A. V.
1 Rovinsky, E. V.
1 Sadovskií, Dmitrií A.
1 Samoĭlenko, Anatoliĭ Mykhaĭlovych
1 Sataev, Evgueni A.
1 Scheeres, Daniel J.
1 Selezneva, T. N.
1 Sharkovs’kyĭ, Oleksandr Mykolaĭovych
1 Shilnikov, Andrey L.
1 Shlosman, Senya B.
1 Sidorenko, A. I. V. V.
1 Stëpin, Anatoliĭ Mikhaĭlovich
1 Stooke, P. J.
1 Tarasov, Vasily E.
1 Tutubalin, Valeriĭ Nikolaevich
1 Uger, E. G.
1 Varchenko, Alexander Nikolaevich
1 Vasko, I. Y.
1 Yakhnin, V. Z.
...and 5 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 1,117 times in 837 Documents Cited by Year
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob. 2nd printing of the 2nd ed. 1993. Zbl 0885.70001
Arnold, V. I.; Kozlov, V. V.; Neishtadt, A. I.
223
1997
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002
Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I.
208
2006
The separation of motions in systems with rapidly rotating phase. Zbl 0571.70022
Nejshtadt, A. I.
86
1985
Mathematical aspects of classical and celestial mechanics. Zbl 0674.70003
Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I.
34
1987
Persistence of stability loss for dynamical bifurcations. I. Zbl 0716.34064
Nejshtadt, A. I.
33
1987
Mathematical aspects of classical and celestial mechanics. Zbl 0612.70002
Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I.
32
1985
Passage through a separatrix in a resonance problem with a slowly-varying parameter. Zbl 0356.70020
Nejshtadt, A. I.
31
1975
Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Zbl 1055.37573
Lochak, P.; Neĭshtadt, A. I.
27
1992
On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom. Zbl 0677.70024
Neĭshtadt, A. I.
24
1987
Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave. Zbl 0982.78004
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
20
2000
Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flow. Zbl 1055.76523
Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I.
20
1996
Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029
Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V.
17
1997
Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions. Zbl 0515.70019
Nejshtadt, A. I.
16
1981
On tightening of the loss of stability under dynamical bifurcations. I. Zbl 0646.34068
Nejshtadt, A. I.
15
1987
On deferring the loss of stability for dynamic bifurcations. II. Zbl 0677.58035
Nejshtadt, A. I.
14
1988
Probability phenomena due to separatrix crossing. Zbl 0900.70221
Neishtadt, A. I.
12
1991
Phase change between separatrix crossings in slow-fast Hamiltonian systems. Zbl 1080.37064
Neishtadt, Anatoly; Vasiliev, Alexei
11
2005
Scattering by resonances. Zbl 0881.58055
Neishtadt, Anatoly
11
1997
Capture into resonance and scattering on resonances in two-frequency systems. Zbl 1127.34026
Neĭshtadt, A. I.
11
2005
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
11
2015
On stability loss delay for dynamical bifurcations. Zbl 1203.34083
Neishtadt, Anatoly
11
2009
Averaging, passage through resonances, and capture into resonance in two-frequency systems. Zbl 1319.34073
Neishtadt, A. I.
10
2014
Averaging method and adiabatic invariants. Zbl 1135.70006
Neishtadt, Anatoly
9
2008
Wisdom system: dynamics in the adiabatic approximation. Zbl 1136.70007
Neishtadt, A. I.; Sidorenko, A. I. V. V.
9
2004
Chaotic advection in a cubic Stokes flow. Zbl 0946.76012
Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A.
9
1998
Capture into resonance and escape from it in a forced nonlinear pendulum. Zbl 1286.70024
Neishtadt, Anatoly I.; Vasiliev, Alexey A.; Artemyev, Anton V.
9
2013
On passage through resonances in volume-preserving systems. Zbl 1146.37350
Vainchtein, D. L.; Neishtadt, A. I.; Mezic, I.
9
2006
Averaging method for systems with separatrix crossing. Zbl 1381.37073
Neishtadt, Anatoly
8
2017
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
8
1996
Quasi-satellite orbits in the general context of dynamics in the \(1:1\) mean motion resonance: perturbative treatment. Zbl 1298.70011
Sidorenko, Vladislav V.; Neishtadt, Anatoly I.; Artemyev, Anton V.; Zelenyi, Lev M.
8
2014
On adiabatic invariance in two-frequency systems. Zbl 0970.70016
Neishtadt, A.
8
1999
Unsteady fluid flow separation by the method of averaging. Zbl 1187.76269
Kilic, M. S.; Haller, G.; Neishtadt, A.
8
2005
Adiabatic piston as a dynamical system. Zbl 1142.82351
Neishtadt, A. I.; Sinai, Y. G.
7
2004
Separatrix crossing in the dynamics of a dual-spin satellite. Zbl 0983.70020
Neishtadt, A. I.; Pivovarov, M. L.
7
2000
Stability of nearly integrable convex Hamiltonian systems over exponentially long times. Zbl 0807.70020
Lochak, P.; Neistadt, A. I.; Niederman, L.
7
1994
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032
Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei
7
2008
Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system. Zbl 0984.76085
Neishtadt, A. I.; Vasiliev, A. A.
6
1999
On the accuracy of conservation of the adiabatic invariant. Zbl 0488.70016
Nejshtadt, A. I.
6
1981
Jump in adiabatic invariant at a transition between modes of motion for systems with impacts. Zbl 1157.70013
Gorelyshev, Igor; Neishtadt, Anatoly
6
2008
Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej
6
2003
Adiabatic chaos in a two-dimensional mapping. Zbl 1055.37546
Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I.
6
1996
Jumps in the adiabatic invariant on crossing the separatrix and the origin of the 3:1 Kirkwood gap. Zbl 0642.70019
Neĭshtadt, A. I.
5
1987
Transport in a slowly perturbed convective cell flow. Zbl 1080.76561
Itin, A. P.; de la Llave, R.; Neishtadt, A. I.; Vasiliev, A. A.
4
2002
Passage through a resonance in the two-frequency problem. Zbl 0325.70014
Neĭshtadt, A. I.
4
1975
On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. Zbl 1459.70039
Neishtadt, Anatoly
4
2019
On the realization of holonomic constraints. Zbl 0759.70011
Kozlov, V. V.; Nejshtadt, A. I.
4
1990
Averaging and passage through resonances. Zbl 0780.34025
Neishtadt, Anatoly I.
4
1991
Slow evolution in perturbed Hamiltonian systems. Zbl 0801.70011
Lebovitz, Norman R.; Neishtadt, Anatoly
4
1994
Resonant phenomena in slowly perturbed elliptic billiards. Zbl 1075.37518
Itin, A. P.; Neishtadt, A. I.
4
2003
Delay of loss of stability in Ziegler’s system. Zbl 1040.70504
Nejshtadt, A. I.; Sidorenko, V. V.
3
1997
Nonlinear dynamics of charged particles in an oblique electromagnetic wave. Zbl 1250.37031
Vasiliev, Alexei; Neishtadt, Anatoly; Artemyev, Anton
3
2011
Averaging in multifrequency systems. Zbl 0342.34028
Neistadt, A. I.
3
1975
Lagrangian turbulence in nonstationary 2-D flows. Zbl 0899.76237
Chernikov, A. A.; Neishtadt, A. I.; Rogal’skij, A. V.; Yakhnin, V. Z.
3
1991
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
3
2013
On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems. Zbl 1163.37355
Neishtadt, Anatoly; Vasiliev, Alexei
3
2007
Bifurcations of phase portraits of pendulum with vibrating suspension point. Zbl 07257479
Neishtadt, A. I.; Sheng, Kaicheng
3
2017
Polymorphisms and adiabatic chaos. Zbl 1209.37035
Neishtadt, A.; Treschev, D.
3
2011
Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397
Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V.
3
2007
Adiabatic invariance in volume-preserving systems. Zbl 1207.70017
Neishtadt, Anatoly; Vainchtein, Dmitri; Vasiliev, Alexei
3
2008
Resonances and particle stochastization in nonhomogeneous electromagnetic fields. Zbl 1086.78002
Vainchtein, D. L.; Rovinsky, E. V.; Zelenyi, L. M.; Neishtadt, A. I.
2
2004
On asymptotic description of passage through a resonance in quasilinear Hamiltonian systems. Zbl 1285.34054
Neishtadt, Anatoly; Su, Tan
2
2013
Adiabatic theory of perturbations for systems with elastic reflections. Zbl 1114.70324
Gorelyshev, I. V.; Neishtadt, A. I.
2
2006
Resonant phenomena in slowly perturbed rectangular billiards. Zbl 0999.70017
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
2
2001
On calculation of stability loss delay time for dynamical bifurcations. Zbl 1052.34504
Neishtadt, A. I.
2
1995
Violation of adiabaticity in magnetic billiards due to separatrix crossings. Zbl 1374.37057
Artemyev, A. V.; Neishtadt, A. I.
2
2015
Regular and chaotic transport of impurities in steady flows. Zbl 1055.76556
Vasiliev, A. A.; Neĭshtadt, A. I.
2
1994
Resonant interaction of charged particles with electromagnetic waves. Zbl 1329.70051
Vasiliev, A. A.; Artemyev, A. V.; Neishtadt, A. I.; Vainchtein, D. L.; Zelenyi, L. M.
2
2012
Chaotic dynamics and transport in classical and quantum systems. Proceedings of the NATO Advanced Study Institute and international summer school, Cargèse, Corsica, France, 18–30 August, 2003. Zbl 1078.37002
1
2005
On chaotic behavior of gravitating stellar shells. Zbl 1080.85001
Barkov, M. V.; Bisnovatyi-Kogan, G. S.; Neishtadt, A. I.; Belinski, V. A.
1
2005
On destruction of adiabatic invariants in multi-frequency systems. Zbl 0938.34529
Neishtadt, Anatoly I.
1
1993
Averaging in multifrequency systems. II. Zbl 0357.34041
Neistadt, A. I.
1
1976
Resonant phenomena in slowly irregular rectangular waveguides. Zbl 1117.78321
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
1
2005
Quasi-satellite regime of motion of small celestial bodies: formation and destruction. Zbl 1299.70049
Sidorenko, V. V.; Nejshtadt, A. I.; Artem’ev, A. V.; Zelenyj, L. M.
1
2013
Classical and quantum dynamics of a particle in a narrow angle. Zbl 1434.35135
Dobrokhotov, Sergei Yu.; Minenkov, Dmitrii S.; Neishtadt, Anatoly I.; Shlosman, Semen B.
1
2019
A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly
1
2008
Bifurcations of the phase pattern of an equation system arising in the problem of stability loss of selfoscillations close to 1:4 resonance. Zbl 0419.58013
Nejshtadt, A. I.
1
1979
Trapping (capture) into resonance and scattering on resonance: summary of results for space plasma systems. Zbl 07263837
Artemyev, A. V.; Neishtadt, A. I.; Vainchtein, D. L.; Vasiliev, A. A.; Vasko, I. Y.; Zelenyi, L. M.
1
2018
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol’d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il’yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
1
2009
Effective Hamiltonians for fastly driven tight-binding chains. Zbl 1323.82005
Itin, A. P.; Neishtadt, A. I.
1
2014
On probabilistic phenomena in perturbed systems. Zbl 0790.60098
Neishtadt, A. I.
1
1993
On probabilistic phenomena in perturbed systems. Zbl 0799.34048
Nejshtadt, A. I.
1
1993
Adiabatic chaos of streamlines in a family of 3D confined Stokes flows. Zbl 0997.76019
Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A.
1
1999
The influence of reactive torques on comet nucleus rotation. Zbl 1062.70028
Neishtadt, A. I.; Scheeres, D. J.; Sidorenko, V. V.; Stooke, P. J.; Vasiliev, A. A.
1
2003
Regular and chaotic charged particle dynamics in low frequency waves and role of separatrix crossings. Zbl 1208.78008
Neishtadt, A. I.; Artemyev, A. V.; Zelenyi, L. M.
1
2010
On the accuracy of persistence of an adiabatic invariant in single-frequency systems. Zbl 1051.70008
Neishtadt, A. I.
1
2000
On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. Zbl 1459.70039
Neishtadt, Anatoly
4
2019
Classical and quantum dynamics of a particle in a narrow angle. Zbl 1434.35135
Dobrokhotov, Sergei Yu.; Minenkov, Dmitrii S.; Neishtadt, Anatoly I.; Shlosman, Semen B.
1
2019
Trapping (capture) into resonance and scattering on resonance: summary of results for space plasma systems. Zbl 07263837
Artemyev, A. V.; Neishtadt, A. I.; Vainchtein, D. L.; Vasiliev, A. A.; Vasko, I. Y.; Zelenyi, L. M.
1
2018
Averaging method for systems with separatrix crossing. Zbl 1381.37073
Neishtadt, Anatoly
8
2017
Bifurcations of phase portraits of pendulum with vibrating suspension point. Zbl 07257479
Neishtadt, A. I.; Sheng, Kaicheng
3
2017
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
11
2015
Violation of adiabaticity in magnetic billiards due to separatrix crossings. Zbl 1374.37057
Artemyev, A. V.; Neishtadt, A. I.
2
2015
Averaging, passage through resonances, and capture into resonance in two-frequency systems. Zbl 1319.34073
Neishtadt, A. I.
10
2014
Quasi-satellite orbits in the general context of dynamics in the \(1:1\) mean motion resonance: perturbative treatment. Zbl 1298.70011
Sidorenko, Vladislav V.; Neishtadt, Anatoly I.; Artemyev, Anton V.; Zelenyi, Lev M.
8
2014
Effective Hamiltonians for fastly driven tight-binding chains. Zbl 1323.82005
Itin, A. P.; Neishtadt, A. I.
1
2014
Capture into resonance and escape from it in a forced nonlinear pendulum. Zbl 1286.70024
Neishtadt, Anatoly I.; Vasiliev, Alexey A.; Artemyev, Anton V.
9
2013
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
3
2013
On asymptotic description of passage through a resonance in quasilinear Hamiltonian systems. Zbl 1285.34054
Neishtadt, Anatoly; Su, Tan
2
2013
Quasi-satellite regime of motion of small celestial bodies: formation and destruction. Zbl 1299.70049
Sidorenko, V. V.; Nejshtadt, A. I.; Artem’ev, A. V.; Zelenyj, L. M.
1
2013
Resonant interaction of charged particles with electromagnetic waves. Zbl 1329.70051
Vasiliev, A. A.; Artemyev, A. V.; Neishtadt, A. I.; Vainchtein, D. L.; Zelenyi, L. M.
2
2012
Nonlinear dynamics of charged particles in an oblique electromagnetic wave. Zbl 1250.37031
Vasiliev, Alexei; Neishtadt, Anatoly; Artemyev, Anton
3
2011
Polymorphisms and adiabatic chaos. Zbl 1209.37035
Neishtadt, A.; Treschev, D.
3
2011
Regular and chaotic charged particle dynamics in low frequency waves and role of separatrix crossings. Zbl 1208.78008
Neishtadt, A. I.; Artemyev, A. V.; Zelenyi, L. M.
1
2010
On stability loss delay for dynamical bifurcations. Zbl 1203.34083
Neishtadt, Anatoly
11
2009
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol’d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il’yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
1
2009
Averaging method and adiabatic invariants. Zbl 1135.70006
Neishtadt, Anatoly
9
2008
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032
Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei
7
2008
Jump in adiabatic invariant at a transition between modes of motion for systems with impacts. Zbl 1157.70013
Gorelyshev, Igor; Neishtadt, Anatoly
6
2008
Adiabatic invariance in volume-preserving systems. Zbl 1207.70017
Neishtadt, Anatoly; Vainchtein, Dmitri; Vasiliev, Alexei
3
2008
A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly
1
2008
On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems. Zbl 1163.37355
Neishtadt, Anatoly; Vasiliev, Alexei
3
2007
Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397
Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V.
3
2007
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002
Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I.
208
2006
On passage through resonances in volume-preserving systems. Zbl 1146.37350
Vainchtein, D. L.; Neishtadt, A. I.; Mezic, I.
9
2006
Adiabatic theory of perturbations for systems with elastic reflections. Zbl 1114.70324
Gorelyshev, I. V.; Neishtadt, A. I.
2
2006
Phase change between separatrix crossings in slow-fast Hamiltonian systems. Zbl 1080.37064
Neishtadt, Anatoly; Vasiliev, Alexei
11
2005
Capture into resonance and scattering on resonances in two-frequency systems. Zbl 1127.34026
Neĭshtadt, A. I.
11
2005
Unsteady fluid flow separation by the method of averaging. Zbl 1187.76269
Kilic, M. S.; Haller, G.; Neishtadt, A.
8
2005
Chaotic dynamics and transport in classical and quantum systems. Proceedings of the NATO Advanced Study Institute and international summer school, Cargèse, Corsica, France, 18–30 August, 2003. Zbl 1078.37002
1
2005
On chaotic behavior of gravitating stellar shells. Zbl 1080.85001
Barkov, M. V.; Bisnovatyi-Kogan, G. S.; Neishtadt, A. I.; Belinski, V. A.
1
2005
Resonant phenomena in slowly irregular rectangular waveguides. Zbl 1117.78321
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
1
2005
Wisdom system: dynamics in the adiabatic approximation. Zbl 1136.70007
Neishtadt, A. I.; Sidorenko, A. I. V. V.
9
2004
Adiabatic piston as a dynamical system. Zbl 1142.82351
Neishtadt, A. I.; Sinai, Y. G.
7
2004
Resonances and particle stochastization in nonhomogeneous electromagnetic fields. Zbl 1086.78002
Vainchtein, D. L.; Rovinsky, E. V.; Zelenyi, L. M.; Neishtadt, A. I.
2
2004
Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej
6
2003
Resonant phenomena in slowly perturbed elliptic billiards. Zbl 1075.37518
Itin, A. P.; Neishtadt, A. I.
4
2003
The influence of reactive torques on comet nucleus rotation. Zbl 1062.70028
Neishtadt, A. I.; Scheeres, D. J.; Sidorenko, V. V.; Stooke, P. J.; Vasiliev, A. A.
1
2003
Transport in a slowly perturbed convective cell flow. Zbl 1080.76561
Itin, A. P.; de la Llave, R.; Neishtadt, A. I.; Vasiliev, A. A.
4
2002
Resonant phenomena in slowly perturbed rectangular billiards. Zbl 0999.70017
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
2
2001
Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave. Zbl 0982.78004
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
20
2000
Separatrix crossing in the dynamics of a dual-spin satellite. Zbl 0983.70020
Neishtadt, A. I.; Pivovarov, M. L.
7
2000
On the accuracy of persistence of an adiabatic invariant in single-frequency systems. Zbl 1051.70008
Neishtadt, A. I.
1
2000
On adiabatic invariance in two-frequency systems. Zbl 0970.70016
Neishtadt, A.
8
1999
Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system. Zbl 0984.76085
Neishtadt, A. I.; Vasiliev, A. A.
6
1999
Adiabatic chaos of streamlines in a family of 3D confined Stokes flows. Zbl 0997.76019
Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A.
1
1999
Chaotic advection in a cubic Stokes flow. Zbl 0946.76012
Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A.
9
1998
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob. 2nd printing of the 2nd ed. 1993. Zbl 0885.70001
Arnold, V. I.; Kozlov, V. V.; Neishtadt, A. I.
223
1997
Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029
Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V.
17
1997
Scattering by resonances. Zbl 0881.58055
Neishtadt, Anatoly
11
1997
Delay of loss of stability in Ziegler’s system. Zbl 1040.70504
Nejshtadt, A. I.; Sidorenko, V. V.
3
1997
Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flow. Zbl 1055.76523
Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I.
20
1996
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
8
1996
Adiabatic chaos in a two-dimensional mapping. Zbl 1055.37546
Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I.
6
1996
On calculation of stability loss delay time for dynamical bifurcations. Zbl 1052.34504
Neishtadt, A. I.
2
1995
Stability of nearly integrable convex Hamiltonian systems over exponentially long times. Zbl 0807.70020
Lochak, P.; Neistadt, A. I.; Niederman, L.
7
1994
Slow evolution in perturbed Hamiltonian systems. Zbl 0801.70011
Lebovitz, Norman R.; Neishtadt, Anatoly
4
1994
Regular and chaotic transport of impurities in steady flows. Zbl 1055.76556
Vasiliev, A. A.; Neĭshtadt, A. I.
2
1994
On destruction of adiabatic invariants in multi-frequency systems. Zbl 0938.34529
Neishtadt, Anatoly I.
1
1993
On probabilistic phenomena in perturbed systems. Zbl 0790.60098
Neishtadt, A. I.
1
1993
On probabilistic phenomena in perturbed systems. Zbl 0799.34048
Nejshtadt, A. I.
1
1993
Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Zbl 1055.37573
Lochak, P.; Neĭshtadt, A. I.
27
1992
Probability phenomena due to separatrix crossing. Zbl 0900.70221
Neishtadt, A. I.
12
1991
Averaging and passage through resonances. Zbl 0780.34025
Neishtadt, Anatoly I.
4
1991
Lagrangian turbulence in nonstationary 2-D flows. Zbl 0899.76237
Chernikov, A. A.; Neishtadt, A. I.; Rogal’skij, A. V.; Yakhnin, V. Z.
3
1991
On the realization of holonomic constraints. Zbl 0759.70011
Kozlov, V. V.; Nejshtadt, A. I.
4
1990
On deferring the loss of stability for dynamic bifurcations. II. Zbl 0677.58035
Nejshtadt, A. I.
14
1988
Mathematical aspects of classical and celestial mechanics. Zbl 0674.70003
Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I.
34
1987
Persistence of stability loss for dynamical bifurcations. I. Zbl 0716.34064
Nejshtadt, A. I.
33
1987
On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom. Zbl 0677.70024
Neĭshtadt, A. I.
24
1987
On tightening of the loss of stability under dynamical bifurcations. I. Zbl 0646.34068
Nejshtadt, A. I.
15
1987
Jumps in the adiabatic invariant on crossing the separatrix and the origin of the 3:1 Kirkwood gap. Zbl 0642.70019
Neĭshtadt, A. I.
5
1987
The separation of motions in systems with rapidly rotating phase. Zbl 0571.70022
Nejshtadt, A. I.
86
1985
Mathematical aspects of classical and celestial mechanics. Zbl 0612.70002
Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I.
32
1985
Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions. Zbl 0515.70019
Nejshtadt, A. I.
16
1981
On the accuracy of conservation of the adiabatic invariant. Zbl 0488.70016
Nejshtadt, A. I.
6
1981
Bifurcations of the phase pattern of an equation system arising in the problem of stability loss of selfoscillations close to 1:4 resonance. Zbl 0419.58013
Nejshtadt, A. I.
1
1979
Averaging in multifrequency systems. II. Zbl 0357.34041
Neistadt, A. I.
1
1976
Passage through a separatrix in a resonance problem with a slowly-varying parameter. Zbl 0356.70020
Nejshtadt, A. I.
31
1975
Passage through a resonance in the two-frequency problem. Zbl 0325.70014
Neĭshtadt, A. I.
4
1975
Averaging in multifrequency systems. Zbl 0342.34028
Neistadt, A. I.
3
1975
all top 5

Cited by 953 Authors

37 Neĭshtadt, Anatoliĭ Iserovich
22 Markeev, Anatoliĭ Pavlovich
20 Kalyakin, Leonid Anatol’evich
13 Chierchia, Luigi
13 Simó, Carles
13 Vasil’ev, Alekseĭ Alekseevich
12 Shamolin, Maksim Vladimirovich
11 Mamaev, Ivan Sergeevich
11 Sidorenko, Vladislav V.
10 Borisov, Alekseĭ Vladimirovich
10 Gelfreich, Vassili
10 Guzzo, Massimiliano
10 Haller, George
10 Kozlov, Valeriĭ Vasil’evich
9 Bolotin, Sergeĭ Vladimirovich
9 Dobrokhotov, Sergei Yurievich
9 Llibre, Jaume
9 Niederman, Laurent
9 Sultanov, Oskar A.
8 Bounemoura, Abed Bounemoura
8 Kühn, Christian
8 Palacián, Jesús F.
8 Rom-Kedar, Vered
8 Treshchev, Dmitriĭ Valer’evich
8 Turaev, Dmitry V.
8 Vidal, Claudio
8 Yanguas, Patricia
7 Avendaño-Camacho, Misael
7 Broer, Henk W.
7 Itin, A. P.
7 Kuksin, Sergeĭ B.
7 Sevryuk, Mikhail Borisovich
7 Vainchtein, Dmitri L.
6 Artemyev, Anton V.
6 Benettin, Giancarlo
6 Biasco, Luca
6 Delshams, Amadeu
6 Jovanović, Božidar Žarko
6 Wiggins, Stephen
6 Zelenyi, Lev M.
5 Anikin, A. Yu.
5 Froeschlé, Claude
5 Haberman, Richard
5 Imaikin, Valery
5 Kaloshin, Vadim Yu.
5 Komech, Alexander Ilich
5 Lega, Elena
5 Lerman, Lev
5 Vieiro, Arturo
5 Vo, Theodore
5 Wechselberger, Martin
5 Yagasaki, Kazuyuki
4 Bao, Jianghong
4 Bizyaev, Ivan Alekseevich
4 Cárcamo-Díaz, Daniela
4 Celletti, Alessandra
4 Cerrai, Sandra
4 de la Llave, Rafael
4 Deryabin, Mikhail Vladimirovich
4 Dullin, Holger R.
4 Fassò, Francesco
4 Féjoz, Jacques
4 Hanßmann, Heinz
4 Kaper, Tasso J.
4 Karasev, Mikhail Vladimirovich
4 Kholostova, Ol’ga Vladimirovna
4 Kilin, Aleksandr Aleksandrovich
4 Marco, Jean-Pierre
4 Polekhin, Ivan Yu.
4 Robutel, Philippe
4 M-Seara, Tere
4 Skrypnik, Wolodymyr I.
4 Spohn, Herbert
4 Tondo, Giorgio
4 Yang, Qigui
4 Zhang, Ke
3 Akulenko, Leonid Denisovich
3 Aslanov, Vladimir S.
3 Ballesteros, Angel
3 Bambusi, Dario
3 Banasiak, Jacek
3 Bergman, Lawrence A.
3 Cao, Zhenbang
3 Chartier, Philippe
3 Christov, Ognyan
3 De Maesschalck, Peter
3 Enciso, Alberto
3 Fayad, Bassam R.
3 Fedorov, Yuri N.
3 Fontich, Ernest
3 Gajić, Borislav
3 Gallavotti, Giovanni M.
3 Gentile, Guido
3 Gonchenko, Sergey V.
3 Herranz, Francisco José
3 Ivanov, Alexey V.
3 Kiselev, Oleg Mikhaĭlovich
3 Kovaleva, A. S.
3 Li, Yong
3 Lochak, Pierre
...and 853 more Authors
all top 5

Cited in 176 Serials

59 Physica D
58 Regular and Chaotic Dynamics
42 Celestial Mechanics and Dynamical Astronomy
37 Chaos
33 Journal of Differential Equations
30 Journal of Applied Mathematics and Mechanics
29 Journal of Mathematical Sciences (New York)
23 Prikladnaya Matematika i Mekhanika
22 Journal of Nonlinear Science
18 Journal of Mathematical Physics
17 Nonlinearity
15 Physics Letters. A
15 Proceedings of the Steklov Institute of Mathematics
14 Communications in Mathematical Physics
14 Russian Journal of Mathematical Physics
14 Communications in Nonlinear Science and Numerical Simulation
12 Mathematical Notes
12 Discrete and Continuous Dynamical Systems
11 Nonlinear Dynamics
10 Russian Journal of Nonlinear Dynamics
9 Theoretical and Mathematical Physics
9 Journal of Geometry and Physics
9 SIAM Journal on Applied Dynamical Systems
8 Reports on Mathematical Physics
7 Journal of Fluid Mechanics
7 Russian Mathematical Surveys
7 Indagationes Mathematicae. New Series
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Archive for Rational Mechanics and Analysis
6 Journal of Statistical Physics
6 Annales de l’Institut Fourier
6 Applied Mathematics and Computation
6 Journal of Dynamics and Differential Equations
6 Physics of Fluids
5 Ukrainian Mathematical Journal
5 Chaos, Solitons and Fractals
5 Ergodic Theory and Dynamical Systems
5 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Journal of Dynamical and Control Systems
5 Discrete and Continuous Dynamical Systems. Series B
5 Mechanics of Solids
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Transactions of the American Mathematical Society
4 Applied Numerical Mathematics
4 SIAM Journal on Mathematical Analysis
4 Mathematical Problems in Engineering
4 Qualitative Theory of Dynamical Systems
4 Journal of Geometric Mechanics
3 Acta Mechanica
3 Journal of Engineering Mathematics
3 Advances in Mathematics
3 Transactions of the Moscow Mathematical Society
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Archive of Applied Mechanics
3 Foundations of Computational Mathematics
3 Science China. Mathematics
3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Mathematical Biosciences
2 Physics Letters. B
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Soviet Applied Mechanics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin de la Société Mathématique de France
2 Inventiones Mathematicae
2 Journal of Computational and Applied Mathematics
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Computational Mathematics and Mathematical Physics
2 Annals of Physics
2 Journal of the European Mathematical Society (JEMS)
2 Differential Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Stochastics and Dynamics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Mathematical Physics
2 Science China. Technological Sciences
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Analysis and Mathematical Physics
2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
2 Nonlinear Analysis. Theory, Methods & Applications
2 Arnold Mathematical Journal
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics B
1 Astrophysics and Space Science
1 Biological Cybernetics
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 European Journal of Physics
1 International Journal of Heat and Mass Transfer
1 International Journal of Theoretical Physics
1 Journal of Computational Physics
1 Moscow University Mechanics Bulletin
...and 76 more Serials
all top 5

Cited in 48 Fields

477 Mechanics of particles and systems (70-XX)
427 Dynamical systems and ergodic theory (37-XX)
196 Ordinary differential equations (34-XX)
72 Partial differential equations (35-XX)
59 Fluid mechanics (76-XX)
42 Differential geometry (53-XX)
42 Numerical analysis (65-XX)
39 Statistical mechanics, structure of matter (82-XX)
35 Quantum theory (81-XX)
30 Optics, electromagnetic theory (78-XX)
21 Probability theory and stochastic processes (60-XX)
16 Mechanics of deformable solids (74-XX)
15 Relativity and gravitational theory (83-XX)
14 Biology and other natural sciences (92-XX)
14 Systems theory; control (93-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
8 Astronomy and astrophysics (85-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Topological groups, Lie groups (22-XX)
5 Real functions (26-XX)
5 Difference and functional equations (39-XX)
5 Algebraic topology (55-XX)
4 History and biography (01-XX)
4 Nonassociative rings and algebras (17-XX)
4 Measure and integration (28-XX)
3 Algebraic geometry (14-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Operator theory (47-XX)
3 Computer science (68-XX)
3 Operations research, mathematical programming (90-XX)
3 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Field theory and polynomials (12-XX)
2 Potential theory (31-XX)
2 Functional analysis (46-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

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