Edit Profile (opens in new tab) Neĭshtadt, Anatoliĭ Iserovich Co-Author Distance Author ID: neishtadt.anatolii-i 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. more...less 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 3,134 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, Aleksandr Mikhailovich 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 all top 5 Serials 16 Chaos 9 Regular and Chaotic Dynamics 8 Nonlinearity 7 Journal of Applied Mathematics and Mechanics 7 Russian Mathematical Surveys 5 Celestial Mechanics and Dynamical Astronomy 4 Physica D 3 Physics Letters. A 3 Prikladnaya Matematika i Mekhanika 3 Soviet Physics. Doklady 3 Communications in Nonlinear Science and Numerical Simulation 2 Differential Equations 2 Moscow Mathematical Journal 2 SIAM Journal on Applied Dynamical Systems 2 Proceedings of the Steklov Institute of Mathematics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Differentsial’nye Uravneniya 1 Studies in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Journal of Nonlinear Science 1 Doklady Akademii Nauk 1 Selecta Mathematica 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 1 Discrete and Continuous Dynamical Systems 1 Regularnaya & Khaoticheskaya Dinamika 1 Discrete and Continuous Dynamical Systems. Series B 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Prikladnaya Nelineĭnaya Dinamika 1 Encyclopaedia of Mathematical Sciences 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 64 Mechanics of particles and systems (70-XX) 57 Dynamical systems and ergodic theory (37-XX) 33 Ordinary differential equations (34-XX) 15 Optics, electromagnetic theory (78-XX) 8 Fluid mechanics (76-XX) 6 History and biography (01-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 1,180 times in 889 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 0885.70001Arnold, V. I.; Kozlov, V. V.; Neishtadt, A. I. 233 1997 Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I. 229 2006 The separation of motions in systems with rapidly rotating phase. Zbl 0571.70022Nejshtadt, A. I. 89 1985 Mathematical aspects of classical and celestial mechanics. Zbl 0674.70003Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I. 36 1987 Persistence of stability loss for dynamical bifurcations. I. Zbl 0716.34064Nejshtadt, A. I. 35 1987 Mathematical aspects of classical and celestial mechanics. Zbl 0612.70002Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I. 33 1985 Passage through a separatrix in a resonance problem with a slowly-varying parameter. Zbl 0356.70020Nejshtadt, A. I. 31 1975 Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Zbl 1055.37573Lochak, P.; Neĭshtadt, A. I. 30 1992 On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom. Zbl 0677.70024Neĭshtadt, A. I. 27 1987 Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave. Zbl 0982.78004Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A. 20 2000 Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flow. Zbl 1055.76523Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I. 20 1996 Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V. 17 1997 Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions. Zbl 0515.70019Nejshtadt, A. I. 16 1981 On tightening of the loss of stability under dynamical bifurcations. I. Zbl 0646.34068Nejshtadt, A. I. 16 1987 Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V. 15 2015 On deferring the loss of stability for dynamic bifurcations. II. Zbl 0677.58035Nejshtadt, A. I. 14 1988 Probability phenomena due to separatrix crossing. Zbl 0900.70221Neishtadt, A. I. 13 1991 On stability loss delay for dynamical bifurcations. Zbl 1203.34083Neishtadt, Anatoly 13 2009 Phase change between separatrix crossings in slow-fast Hamiltonian systems. Zbl 1080.37064Neishtadt, Anatoly; Vasiliev, Alexei 11 2005 Scattering by resonances. Zbl 0881.58055Neishtadt, Anatoly 11 1997 Capture into resonance and scattering on resonances in two-frequency systems. Zbl 1127.34026Neĭshtadt, A. I. 11 2005 Averaging method and adiabatic invariants. Zbl 1135.70006Neishtadt, Anatoly 11 2008 Wisdom system: dynamics in the adiabatic approximation. Zbl 1136.70007Neishtadt, A. I.; Sidorenko, A. I. V. V. 10 2004 Averaging, passage through resonances, and capture into resonance in two-frequency systems. Zbl 1319.34073Neishtadt, A. I. 10 2014 Capture into resonance and escape from it in a forced nonlinear pendulum. Zbl 1286.70024Neishtadt, Anatoly I.; Vasiliev, Alexey A.; Artemyev, Anton V. 9 2013 Chaotic advection in a cubic Stokes flow. Zbl 0946.76012Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A. 9 1998 On passage through resonances in volume-preserving systems. Zbl 1146.37350Vainchtein, D. L.; Neishtadt, A. I.; Mezic, I. 9 2006 Quasi-satellite orbits in the general context of dynamics in the \(1:1\) mean motion resonance: perturbative treatment. Zbl 1298.70011Sidorenko, Vladislav V.; Neishtadt, Anatoly I.; Artemyev, Anton V.; Zelenyi, Lev M. 8 2014 Unsteady fluid flow separation by the method of averaging. Zbl 1187.76269Kilic, M. S.; Haller, G.; Neishtadt, A. 8 2005 On adiabatic invariance in two-frequency systems. Zbl 0970.70016Neishtadt, A. 8 1999 On stability loss delay for a periodic trajectory. Zbl 0844.34045Neishtadt, A. I.; Simó, C.; Treschev, D. V. 8 1996 Averaging method for systems with separatrix crossing. Zbl 1381.37073Neishtadt, Anatoly 8 2017 Separatrix crossing in the dynamics of a dual-spin satellite. Zbl 0983.70020Neishtadt, A. I.; Pivovarov, M. L. 7 2000 Adiabatic piston as a dynamical system. Zbl 1142.82351Neishtadt, A. I.; Sinai, Y. G. 7 2004 Stability of nearly integrable convex Hamiltonian systems over exponentially long times. Zbl 0807.70020Lochak, 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 1149.37032Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei 7 2008 Jumps in the adiabatic invariant on crossing the separatrix and the origin of the 3:1 Kirkwood gap. Zbl 0642.70019Neĭshtadt, A. I. 6 1987 Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system. Zbl 0984.76085Neishtadt, A. I.; Vasiliev, A. A. 6 1999 Adiabatic chaos in a two-dimensional mapping. Zbl 1055.37546Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I. 6 1996 Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej 6 2003 On the accuracy of conservation of the adiabatic invariant. Zbl 0488.70016Nejshtadt, A. I. 6 1981 Jump in adiabatic invariant at a transition between modes of motion for systems with impacts. Zbl 1157.70013Gorelyshev, Igor; Neishtadt, Anatoly 6 2008 Passage through a resonance in the two-frequency problem. Zbl 0325.70014Neĭshtadt, A. I. 5 1975 Bifurcations of phase portraits of pendulum with vibrating suspension point. Zbl 1510.70060Neishtadt, A. I.; Sheng, Kaicheng 5 2017 On the realization of holonomic constraints. Zbl 0759.70011Kozlov, V. V.; Nejshtadt, A. I. 4 1990 Averaging and passage through resonances. Zbl 0780.34025Neishtadt, Anatoly I. 4 1991 Slow evolution in perturbed Hamiltonian systems. Zbl 0801.70011Lebovitz, Norman R.; Neishtadt, Anatoly 4 1994 Resonant phenomena in slowly perturbed elliptic billiards. Zbl 1075.37518Itin, A. P.; Neishtadt, A. I. 4 2003 Transport in a slowly perturbed convective cell flow. Zbl 1080.76561Itin, A. P.; de la Llave, R.; Neishtadt, A. I.; Vasiliev, A. A. 4 2002 On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. Zbl 1459.70039Neishtadt, Anatoly 4 2019 On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems. Zbl 1163.37355Neishtadt, Anatoly; Vasiliev, Alexei 3 2007 On calculation of stability loss delay time for dynamical bifurcations. Zbl 1052.34504Neishtadt, A. I. 3 1995 Lagrangian turbulence in nonstationary 2-D flows. Zbl 0899.76237Chernikov, A. A.; Neishtadt, A. I.; Rogal’skij, A. V.; Yakhnin, V. Z. 3 1991 Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V. 3 2007 Averaging in multifrequency systems. Zbl 0342.34028Neistadt, A. I. 3 1975 Delay of loss of stability in Ziegler’s system. Zbl 1040.70504Nejshtadt, A. I.; Sidorenko, V. V. 3 1997 Nonlinear dynamics of charged particles in an oblique electromagnetic wave. Zbl 1250.37031Vasiliev, Alexei; Neishtadt, Anatoly; Artemyev, Anton 3 2011 On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066Kuksin, S. B.; Neishtadt, A. I. 3 2013 Polymorphisms and adiabatic chaos. Zbl 1209.37035Neishtadt, A.; Treschev, D. 3 2011 Adiabatic invariance in volume-preserving systems. Zbl 1207.70017Neishtadt, Anatoly; Vainchtein, Dmitri; Vasiliev, Alexei 3 2008 Resonances and particle stochastization in nonhomogeneous electromagnetic fields. Zbl 1086.78002Vainchtein, D. L.; Rovinsky, E. V.; Zelenyi, L. M.; Neishtadt, A. I. 2 2004 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 2 2005 Regular and chaotic transport of impurities in steady flows. Zbl 1055.76556Vasiliev, A. A.; Neĭshtadt, A. I. 2 1994 Resonant phenomena in slowly perturbed rectangular billiards. Zbl 0999.70017Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A. 2 2001 Resonant interaction of charged particles with electromagnetic waves. Zbl 1329.70051Vasiliev, A. A.; Artemyev, A. V.; Neishtadt, A. I.; Vainchtein, D. L.; Zelenyi, L. M. 2 2012 Adiabatic theory of perturbations for systems with elastic reflections. Zbl 1114.70324Gorelyshev, I. V.; Neishtadt, A. I. 2 2006 Violation of adiabaticity in magnetic billiards due to separatrix crossings. Zbl 1374.37057Artemyev, A. V.; Neishtadt, A. I. 2 2015 On asymptotic description of passage through a resonance in quasilinear Hamiltonian systems. Zbl 1285.34054Neishtadt, Anatoly; Su, Tan 2 2013 Quasi-satellite regime of motion of small celestial bodies: formation and destruction. Zbl 1299.70049Sidorenko, V. V.; Nejshtadt, A. I.; Artem’ev, A. V.; Zelenyj, L. M. 1 2013 Adiabatic chaos of streamlines in a family of 3D confined Stokes flows. Zbl 0997.76019Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A. 1 1999 Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064Abramov, 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 Bifurcations of the phase pattern of an equation system arising in the problem of stability loss of selfoscillations close to 1:4 resonance. Zbl 0419.58013Nejshtadt, A. I. 1 1979 On the accuracy of persistence of an adiabatic invariant in single-frequency systems. Zbl 1051.70008Neishtadt, A. I. 1 2000 Effective Hamiltonians for fastly driven tight-binding chains. Zbl 1323.82005Itin, A. P.; Neishtadt, A. I. 1 2014 Resonant phenomena in slowly irregular rectangular waveguides. Zbl 1117.78321Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A. 1 2005 A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly 1 2008 On probabilistic phenomena in perturbed systems. Zbl 0790.60098Neishtadt, A. I. 1 1993 On probabilistic phenomena in perturbed systems. Zbl 0799.34048Nejshtadt, A. I. 1 1993 The influence of reactive torques on comet nucleus rotation. Zbl 1062.70028Neishtadt, A. I.; Scheeres, D. J.; Sidorenko, V. V.; Stooke, P. J.; Vasiliev, A. A. 1 2003 On chaotic behavior of gravitating stellar shells. Zbl 1080.85001Barkov, M. V.; Bisnovatyi-Kogan, G. S.; Neishtadt, A. I.; Belinski, V. A. 1 2005 Classical and quantum dynamics of a particle in a narrow angle. Zbl 1434.35135Dobrokhotov, Sergei Yu.; Minenkov, Dmitrii S.; Neishtadt, Anatoly I.; Shlosman, Semen B. 1 2019 Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics. Zbl 1451.82051Artemyev, Anton; Neishtadt, Anatoly; Vasiliev, Alexei 1 2019 Trapping (capture) into resonance and scattering on resonance: summary of results for space plasma systems. Zbl 1508.81970Artemyev, A. V.; Neishtadt, A. I.; Vainchtein, D. L.; Vasiliev, A. A.; Vasko, I. Y.; Zelenyi, L. M. 1 2018 Regular and chaotic charged particle dynamics in low frequency waves and role of separatrix crossings. Zbl 1208.78008Neishtadt, A. I.; Artemyev, A. V.; Zelenyi, L. M. 1 2010 Averaging in multifrequency systems. II. Zbl 0357.34041Neistadt, A. I. 1 1976 On destruction of adiabatic invariants in multi-frequency systems. Zbl 0938.34529Neishtadt, Anatoly I. 1 1993 On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. Zbl 1459.70039Neishtadt, Anatoly 4 2019 Classical and quantum dynamics of a particle in a narrow angle. Zbl 1434.35135Dobrokhotov, Sergei Yu.; Minenkov, Dmitrii S.; Neishtadt, Anatoly I.; Shlosman, Semen B. 1 2019 Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics. Zbl 1451.82051Artemyev, Anton; Neishtadt, Anatoly; Vasiliev, Alexei 1 2019 Trapping (capture) into resonance and scattering on resonance: summary of results for space plasma systems. Zbl 1508.81970Artemyev, 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 1381.37073Neishtadt, Anatoly 8 2017 Bifurcations of phase portraits of pendulum with vibrating suspension point. Zbl 1510.70060Neishtadt, A. I.; Sheng, Kaicheng 5 2017 Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V. 15 2015 Violation of adiabaticity in magnetic billiards due to separatrix crossings. Zbl 1374.37057Artemyev, A. V.; Neishtadt, A. I. 2 2015 Averaging, passage through resonances, and capture into resonance in two-frequency systems. Zbl 1319.34073Neishtadt, A. I. 10 2014 Quasi-satellite orbits in the general context of dynamics in the \(1:1\) mean motion resonance: perturbative treatment. Zbl 1298.70011Sidorenko, Vladislav V.; Neishtadt, Anatoly I.; Artemyev, Anton V.; Zelenyi, Lev M. 8 2014 Effective Hamiltonians for fastly driven tight-binding chains. Zbl 1323.82005Itin, A. P.; Neishtadt, A. I. 1 2014 Capture into resonance and escape from it in a forced nonlinear pendulum. Zbl 1286.70024Neishtadt, Anatoly I.; Vasiliev, Alexey A.; Artemyev, Anton V. 9 2013 On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066Kuksin, S. B.; Neishtadt, A. I. 3 2013 On asymptotic description of passage through a resonance in quasilinear Hamiltonian systems. Zbl 1285.34054Neishtadt, Anatoly; Su, Tan 2 2013 Quasi-satellite regime of motion of small celestial bodies: formation and destruction. Zbl 1299.70049Sidorenko, V. V.; Nejshtadt, A. I.; Artem’ev, A. V.; Zelenyj, L. M. 1 2013 Resonant interaction of charged particles with electromagnetic waves. Zbl 1329.70051Vasiliev, 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 1250.37031Vasiliev, Alexei; Neishtadt, Anatoly; Artemyev, Anton 3 2011 Polymorphisms and adiabatic chaos. Zbl 1209.37035Neishtadt, A.; Treschev, D. 3 2011 Regular and chaotic charged particle dynamics in low frequency waves and role of separatrix crossings. Zbl 1208.78008Neishtadt, A. I.; Artemyev, A. V.; Zelenyi, L. M. 1 2010 On stability loss delay for dynamical bifurcations. Zbl 1203.34083Neishtadt, Anatoly 13 2009 Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064Abramov, 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 1135.70006Neishtadt, Anatoly 11 2008 Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032Neishtadt, 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 1157.70013Gorelyshev, Igor; Neishtadt, Anatoly 6 2008 Adiabatic invariance in volume-preserving systems. Zbl 1207.70017Neishtadt, Anatoly; Vainchtein, Dmitri; Vasiliev, Alexei 3 2008 A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052Benettin, 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 1163.37355Neishtadt, Anatoly; Vasiliev, Alexei 3 2007 Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397Vasiliev, 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 1105.70002Arnold, Vladimir I.; Kozlov, Valery V.; Neishtadt, Anatoly I. 229 2006 On passage through resonances in volume-preserving systems. Zbl 1146.37350Vainchtein, D. L.; Neishtadt, A. I.; Mezic, I. 9 2006 Adiabatic theory of perturbations for systems with elastic reflections. Zbl 1114.70324Gorelyshev, I. V.; Neishtadt, A. I. 2 2006 Phase change between separatrix crossings in slow-fast Hamiltonian systems. Zbl 1080.37064Neishtadt, Anatoly; Vasiliev, Alexei 11 2005 Capture into resonance and scattering on resonances in two-frequency systems. Zbl 1127.34026Neĭshtadt, A. I. 11 2005 Unsteady fluid flow separation by the method of averaging. Zbl 1187.76269Kilic, 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 2 2005 Resonant phenomena in slowly irregular rectangular waveguides. Zbl 1117.78321Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A. 1 2005 On chaotic behavior of gravitating stellar shells. Zbl 1080.85001Barkov, M. V.; Bisnovatyi-Kogan, G. S.; Neishtadt, A. I.; Belinski, V. A. 1 2005 Wisdom system: dynamics in the adiabatic approximation. Zbl 1136.70007Neishtadt, A. I.; Sidorenko, A. I. V. V. 10 2004 Adiabatic piston as a dynamical system. Zbl 1142.82351Neishtadt, A. I.; Sinai, Y. G. 7 2004 Resonances and particle stochastization in nonhomogeneous electromagnetic fields. Zbl 1086.78002Vainchtein, 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 1038.37017Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej 6 2003 Resonant phenomena in slowly perturbed elliptic billiards. Zbl 1075.37518Itin, A. P.; Neishtadt, A. I. 4 2003 The influence of reactive torques on comet nucleus rotation. Zbl 1062.70028Neishtadt, 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 1080.76561Itin, A. P.; de la Llave, R.; Neishtadt, A. I.; Vasiliev, A. A. 4 2002 Resonant phenomena in slowly perturbed rectangular billiards. Zbl 0999.70017Itin, 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 0982.78004Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A. 20 2000 Separatrix crossing in the dynamics of a dual-spin satellite. Zbl 0983.70020Neishtadt, A. I.; Pivovarov, M. L. 7 2000 On the accuracy of persistence of an adiabatic invariant in single-frequency systems. Zbl 1051.70008Neishtadt, A. I. 1 2000 On adiabatic invariance in two-frequency systems. Zbl 0970.70016Neishtadt, A. 8 1999 Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system. Zbl 0984.76085Neishtadt, A. I.; Vasiliev, A. A. 6 1999 Adiabatic chaos of streamlines in a family of 3D confined Stokes flows. Zbl 0997.76019Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A. 1 1999 Chaotic advection in a cubic Stokes flow. Zbl 0946.76012Neishtadt, 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 0885.70001Arnold, V. I.; Kozlov, V. V.; Neishtadt, A. I. 233 1997 Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V. 17 1997 Scattering by resonances. Zbl 0881.58055Neishtadt, Anatoly 11 1997 Delay of loss of stability in Ziegler’s system. Zbl 1040.70504Nejshtadt, A. I.; Sidorenko, V. V. 3 1997 Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flow. Zbl 1055.76523Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I. 20 1996 On stability loss delay for a periodic trajectory. Zbl 0844.34045Neishtadt, A. I.; Simó, C.; Treschev, D. V. 8 1996 Adiabatic chaos in a two-dimensional mapping. Zbl 1055.37546Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I. 6 1996 On calculation of stability loss delay time for dynamical bifurcations. Zbl 1052.34504Neishtadt, A. I. 3 1995 Stability of nearly integrable convex Hamiltonian systems over exponentially long times. Zbl 0807.70020Lochak, P.; Neistadt, A. I.; Niederman, L. 7 1994 Slow evolution in perturbed Hamiltonian systems. Zbl 0801.70011Lebovitz, Norman R.; Neishtadt, Anatoly 4 1994 Regular and chaotic transport of impurities in steady flows. Zbl 1055.76556Vasiliev, A. A.; Neĭshtadt, A. I. 2 1994 On probabilistic phenomena in perturbed systems. Zbl 0790.60098Neishtadt, A. I. 1 1993 On probabilistic phenomena in perturbed systems. Zbl 0799.34048Nejshtadt, A. I. 1 1993 On destruction of adiabatic invariants in multi-frequency systems. Zbl 0938.34529Neishtadt, Anatoly I. 1 1993 Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Zbl 1055.37573Lochak, P.; Neĭshtadt, A. I. 30 1992 Probability phenomena due to separatrix crossing. Zbl 0900.70221Neishtadt, A. I. 13 1991 Averaging and passage through resonances. Zbl 0780.34025Neishtadt, Anatoly I. 4 1991 Lagrangian turbulence in nonstationary 2-D flows. Zbl 0899.76237Chernikov, A. A.; Neishtadt, A. I.; Rogal’skij, A. V.; Yakhnin, V. Z. 3 1991 On the realization of holonomic constraints. Zbl 0759.70011Kozlov, V. V.; Nejshtadt, A. I. 4 1990 On deferring the loss of stability for dynamic bifurcations. II. Zbl 0677.58035Nejshtadt, A. I. 14 1988 Mathematical aspects of classical and celestial mechanics. Zbl 0674.70003Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I. 36 1987 Persistence of stability loss for dynamical bifurcations. I. Zbl 0716.34064Nejshtadt, A. I. 35 1987 On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom. Zbl 0677.70024Neĭshtadt, A. I. 27 1987 On tightening of the loss of stability under dynamical bifurcations. I. Zbl 0646.34068Nejshtadt, A. I. 16 1987 Jumps in the adiabatic invariant on crossing the separatrix and the origin of the 3:1 Kirkwood gap. Zbl 0642.70019Neĭshtadt, A. I. 6 1987 The separation of motions in systems with rapidly rotating phase. Zbl 0571.70022Nejshtadt, A. I. 89 1985 Mathematical aspects of classical and celestial mechanics. Zbl 0612.70002Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I. 33 1985 Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions. Zbl 0515.70019Nejshtadt, A. I. 16 1981 On the accuracy of conservation of the adiabatic invariant. Zbl 0488.70016Nejshtadt, 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 0419.58013Nejshtadt, A. I. 1 1979 Averaging in multifrequency systems. II. Zbl 0357.34041Neistadt, A. I. 1 1976 Passage through a separatrix in a resonance problem with a slowly-varying parameter. Zbl 0356.70020Nejshtadt, A. I. 31 1975 Passage through a resonance in the two-frequency problem. Zbl 0325.70014Neĭshtadt, A. I. 5 1975 Averaging in multifrequency systems. Zbl 0342.34028Neistadt, A. I. 3 1975 all cited Publications top 5 cited Publications all top 5 Cited by 1,005 Authors 39 Neĭshtadt, Anatoliĭ Iserovich 22 Markeev, Anatoliĭ Pavlovich 20 Kalyakin, Leonid Anatol’evich 16 Simó, Carles 14 Vasil’ev, Alekseĭ Alekseevich 13 Chierchia, Luigi 13 Mamaev, Ivan Sergeevich 12 Borisov, Alekseĭ Vladimirovich 12 Shamolin, Maksim Vladimirovich 11 Dobrokhotov, Sergei Yurievich 11 Guzzo, Massimiliano 11 Kozlov, Valeriĭ Vasil’evich 11 Sidorenko, Vladislav V. 10 Bolotin, Sergeĭ Vladimirovich 10 Gelfreich, Vassili 10 Haller, George 10 Sultanov, Oskar A. 9 Llibre, Jaume 9 Niederman, Laurent 9 Sevryuk, Mikhail Borisovich 9 Treshchev, Dmitriĭ Valer’evich 8 Avendaño-Camacho, Misael 8 Bounemoura, Abed Bounemoura 8 Broer, Henk W. 8 Itin, A. P. 8 Kühn, Christian 8 Palacián, Jesús F. 8 Rom-Kedar, Vered 8 Turaev, Dmitry V. 8 Vidal, Claudio 8 Yanguas, Patricia 7 Jovanović, Božidar Žarko 7 Kuksin, Sergeĭ B. 7 Vainchtein, Dmitri L. 6 Anikin, A. Yu. 6 Artemyev, Anton V. 6 Benettin, Giancarlo 6 Biasco, Luca 6 Bizyaev, Ivan Alekseevich 6 Delshams, Amadeu 6 Komech, Alexander Ilich 6 Lerman, Lev 6 Vieiro, Arturo 6 Wiggins, Stephen R. 6 Zelenyi, Lev M. 5 Froeschlé, Claude 5 Haberman, Richard 5 Hanßmann, Heinz 5 Imaikin, Valery 5 Kaloshin, Vadim Yu. 5 Lega, Elena 5 Vo, Theodore 5 Wechselberger, Martin 5 Yagasaki, Kazuyuki 4 Akulenko, Leonid Denisovich 4 Bao, Jianghong 4 Cárcamo-Díaz, Daniela 4 Celletti, Alessandra 4 Cerrai, Sandra 4 Christov, Ognyan 4 de la Llave, Rafael 4 De Maesschalck, Peter 4 Deryabin, Mikhail Vladimirovich 4 Dullin, Holger R. 4 Fassò, Francesco 4 Féjoz, Jacques 4 Fontich, Ernest 4 Gajić, Borislav 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 Xu, Junxiang 4 Yang, Qigui 4 Zhang, Ke 3 Andrade, Jaime 3 Aslanov, Vladimir S. 3 Ballesteros, Angel 3 Bambusi, Dario 3 Banasiak, Jacek 3 Bergman, Lawrence A. 3 Cao, Zhenbang 3 Chartier, Philippe 3 Dragović, Vladimir 3 Enciso, Alberto 3 Fayad, Bassam R. 3 Fedorov, Yuri N. 3 Gallavotti, Giovanni M. 3 Gentile, Guido 3 Gonchenko, Sergey V. 3 Herranz, Francisco José 3 Ivanov, Alexey V. 3 Kiselev, Oleg Mikhaĭlovich ...and 905 more Authors all top 5 Cited in 181 Serials 65 Regular and Chaotic Dynamics 61 Physica D 43 Celestial Mechanics and Dynamical Astronomy 37 Chaos 33 Journal of Differential Equations 31 Journal of Applied Mathematics and Mechanics 29 Journal of Mathematical Sciences (New York) 23 Prikladnaya Matematika i Mekhanika 23 Journal of Nonlinear Science 22 Nonlinearity 18 Journal of Mathematical Physics 16 Physics Letters. A 15 Communications in Mathematical Physics 15 Proceedings of the Steklov Institute of Mathematics 14 Russian Journal of Mathematical Physics 14 Communications in Nonlinear Science and Numerical Simulation 13 Discrete and Continuous Dynamical Systems 13 SIAM Journal on Applied Dynamical Systems 12 Mathematical Notes 12 Nonlinear Dynamics 10 Theoretical and Mathematical Physics 10 Journal of Geometry and Physics 10 Russian Journal of Nonlinear Dynamics 9 Reports on Mathematical Physics 8 Journal of Dynamics and Differential Equations 8 Indagationes Mathematicae. New Series 7 Journal of Fluid Mechanics 7 Russian Mathematical Surveys 7 Applied Mathematics and Computation 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 Physics of Fluids 6 Discrete and Continuous Dynamical Systems. Series B 5 Ukrainian Mathematical Journal 5 Chaos, Solitons and Fractals 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Ergodic Theory and Dynamical Systems 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Journal of Dynamical and Control Systems 5 Journal of Geometric Mechanics 5 Mechanics of Solids 4 Annali di Matematica Pura ed Applicata. Serie Quarta 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 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 Annals of Physics 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 SIAM Journal on Applied Mathematics 2 Journal of Computational Neuroscience 2 Journal of the European Mathematical Society (JEMS) 2 Differential Equations 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 International Journal of Geometric Methods in Modern Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 ...and 81 more Serials all top 5 Cited in 48 Fields 507 Mechanics of particles and systems (70-XX) 460 Dynamical systems and ergodic theory (37-XX) 211 Ordinary differential equations (34-XX) 74 Partial differential equations (35-XX) 63 Fluid mechanics (76-XX) 52 Differential geometry (53-XX) 43 Numerical analysis (65-XX) 39 Statistical mechanics, structure of matter (82-XX) 36 Quantum theory (81-XX) 32 Optics, electromagnetic theory (78-XX) 23 Probability theory and stochastic processes (60-XX) 17 Biology and other natural sciences (92-XX) 16 Mechanics of deformable solids (74-XX) 15 Relativity and gravitational theory (83-XX) 14 Systems theory; control (93-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Astronomy and astrophysics (85-XX) 6 Topological groups, Lie groups (22-XX) 6 Classical thermodynamics, heat transfer (80-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) 4 Special functions (33-XX) 4 Geophysics (86-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-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 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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