Journal Articles
Neishtadt, A and Okunev, A (2024) Averaging and passage through resonances in two-frequency systems near separatrices,
Communications in Mathematical Physics, ISSN: 0010-3616.
Kamaletdinov, S, Artemyev, A, Angelopoulos, V,
Neishtadt, A (2024) Electron Scattering due to Asymmetric Drift-Orbit Bifurcation: Geometric Jumps of Adiabatic Invariant,
Journal of Geophysical Research: Space Physics, ISSN: 2169-9380.
Gao, Y,
Neishtadt, A, Okunev, A (2023)
On phase at a resonance in slow-fast Hamiltonian systems,
Regular and Chaotic Dynamics, 28(4), pp.585-612, ISSN: 1560-3547. DOI:
10.1134/S1560354723040068.
Artemyev, A, Albert, J,
Neishtadt, A, Mourenas, D (2023)
The effect of wave frequency drift on the electron nonlinear resonant interaction with whistler-mode waves,
Physics of Plasmas, 30(1), 012901, ISSN: 1070-664X. DOI:
10.1063/5.0131297.
Neishtadt, A and Okunev, A (2022)
Phase change and order 2 averaging for one-frequency systems with separatrix crossing,
Nonlinearity, 35(8), ISSN: 0951-7715. DOI:
10.1088/1361-6544/ac7a85.
Artemyev, A,
Neishtadt, A, Angelopoulos, V (2022)
On the role of whistler-mode waves in electron interaction with dipolarizing flux bundles,
Journal of Geophysical Research: Space Physics, 127(4), e2022JA030265, ISSN: 2169-9380. DOI:
10.1029/2022JA030265.
Artemyev, A,
Neishtadt, A, Vasiliev, A, Mourenas, D (2021)
Transitional regime of electron resonant interaction with whistler-mode waves in inhomogeneous space plasma,
Physical Review E, 104, 055203, ISSN: 2470-0045. DOI:
10.1103/PhysRevE.104.055203.
Neishtadt, A, Sheng, K, Sidorenko, V (2021)
Stability analysis of apsidal alignment in double-averaged restricted elliptic three-body problem,
Celestial Mechanics and Dynamical Astronomy, 133(10), 45, ISSN: 0923-2958. DOI:
10.1007/s10569-021-10042-8.
Neishtadt, A and Treschev, D (2021)
Dynamical phenomena connected with stability loss of equilibria and periodic trajectories,
Russian Mathematical Surveys, 76(5), pp.883-926, ISSN: 0036-0279. DOI:
10.1070/RM10023.
Bazzani, A, Capoani, F, Giovannozzi, M,
Neishtadt, A (2021)
Adiabaticity of emittance exchange due to crossing of the coupling resonance,
Physical Review Accelerators and Beams, 24(9), 094002, DOI:
10.1103/PhysRevAccelBeams.24.094002.
Artemyev, A,
Neishtadt, A, Albert, J, Gan, L, Li, W, Ma, Q (2021)
Theoretical model of the nonlinear resonant interaction of whistler-mode waves and field-aligned electrons,
Physics of Plasmas, 28(5), 052902, ISSN: 1070-664X. DOI:
10.1063/5.0046635.
Artemyev, A,
Neishtadt, A, Vasiliev, A, Zhang, X-J, Mourenas, D, Vainchtein, D (2021)
Long-term dynamics driven by resonant wave-particle interactions: from Hamiltonian resonance theory to phase space mapping,
Journal of Plasma Physics, 87(2), 835870201, ISSN: 0022-3778. DOI:
10.1017/S0022377821000246.
Neishtadt, A and Artemyev, A (2020)
Hamiltonian in guiding center theory: a symplectic structure approach,
Proceedings of the Steklov Institute of Mathematics, 310(1), pp.214-219, ISSN: 0081-5438. DOI:
10.1134/S008154382005017X.
Neishtadt, A and Bisnovatyi-Kogan, G (2020)
Motion of a pair of gravitating bodies in dark energy presence: small deviations from Keplerian motion,
Astronomy Reports, 64(9), pp.731-737, ISSN: 1063-7729. DOI:
10.1134/S1063772920100054.
Artemyev, A,
Neishtadt, A, Vasiliev, A, Angelopoulos, V, Vinogradov, A, Zelenyi, L (2020)
Superfast ion scattering by solar wind discontinuities,
Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 102(3), 033201, ISSN: 1539-3755. DOI:
10.1103/PhysRevE.102.033201.
Artemyev, A,
Neishtadt, A, Vasiliev, A (2020)
Mapping for nonlinear electron interaction with whistler-mode waves,
Physics of Plasmas, 27(4), 042902, ISSN: 1070-664X. DOI:
10.1063/1.5144477.
Artemyev, A,
Neishtadt, A, Vasiliev, A (2020)
A map for systems with resonant trappings and scatterings,
Regular and Chaotic Dynamics, 25(1), pp.2-10, ISSN: 1560-3547. DOI:
10.1134/S1560354720010025.
Neishtadt, A (2019)
On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems,
Nonlinearity, 32, pp.53-76, ISSN: 0951-7715. DOI:
10.1088/1361-6544/ab2a2c.
Dobrokhotov, S, Minenkov, D,
Neishtadt, A, Shlosman, S (2019) Classical and quantum dynamics of a particle in a narrow angle,
Regular and Chaotic Dynamics, ISSN: 1468-4845.
Bao, J and
Neishtadt, A (2019)
Separatrix crossing in rotation of a body with changing geometry of masses,
SIAM Journal on Applied Dynamical Systems, ISSN: 1536-0040. DOI:
10.1137/18M119687X.
Artemyev, AV, Vasiliev, A,
Neishtadt, A (2019)
Charged particle nonlinear resonance with localized electrostatic wave-packets,
Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704. DOI:
10.1016/j.cnsns.2019.01.011.
Artemyev, AV,
Neishtadt, A, Vasiliev, A (2019)
Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics,
Physica D: Nonlinear Phenomena, ISSN: 0167-2789. DOI:
10.1016/j.physd.2018.12.007.
Neishtadt, A, Artemyev, AV, Turaev, D (2019)
Remarkable charged particle dynamics near magnetic field null lines,
Chaos, ISSN: 1054-1500. DOI:
10.1063/1.5097838.
Mourenas, D, Zhang, X-J, Artemyev, AV, Angelopoulos, V, Thorne, RM, Bortnik, J,
Neishtadt, A, Vasiliev, A (2018)
Electron nonlinear resonant interaction with short and intense parallel chorus wave-packets,
Journal of Geophysical Research, ISSN: 0148-0227. DOI:
10.1029/2018JA025417.
Artemyev, AV,
Neishtadt, A, Vainchtein, DL, Vasiliev, A, Vasko, IY, Zelenyi, LM (2018)
Trapping (capture) into resonance and scattering on resonance: summary of results for space plasma systems,
Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704. DOI:
10.1016/j.cnsns.2018.05.004.
Artemyev, AV,
Neishtadt, A, Vasiliev, A, Mourenas, D (2018)
Long-term evolution of electron distribution function due to nonlinear resonant interaction with whistler mode waves,
Journal of Plasma Physics, 84, ISSN: 0022-3778. DOI:
10.1017/S0022377818000260.
Neishtadt, A (2017)
Averaging method for systems with separatrix crossing,
Nonlinearity, 30(7), pp.2871-2917, ISSN: 0951-7715. DOI:
10.1088/1361-6544/aa712f.
Artemyev, AV,
Neishtadt, A, Vasiliev, A, Mourenas, D (2017)
Probabilistic approach to nonlinear wave-particle resonant interaction,
Physical Review E, 95, ISSN: 2470-0053. DOI:
10.1103/PhysRevE.95.023204.
Neishtadt, AI and Sheng, K (2016)
Bifurcations of phase portraits of pendulum with vibrating suspension point,
Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704. DOI:
10.1016/j.cnsns.2016.11.003.
Artemyev, A, Vainchtein, D,
Neishtadt, A, Zelenyi, L (2016)
Charged particle dynamics in turbulent current sheet,
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 93, 053207, ISSN: 1063-651X.
Artemyev, AV,
Neishtadt, A, Vasiliev, A, Mourenas, D (2016)
Kinetic equation for nonlinear resonant wave-particle interaction,
Physics of Plasmas, 23, ISSN: 1089-7674. DOI:
10.1063/1.4962526.
Medvedev, AG,
Neishtadt, A, Treschev, D (2015)
Lagrangian tori near resonances of near-integrable Hamiltonian systems,
Nonlinearity, ISSN: 0951-7715. DOI:
10.1088/0951-7715/28/7/2105.
Artemyev, AV and
Neishtadt, A (2015)
Violation of adiabaticity in magnetic billiards due to separatrix crossings,
Chaos, ISSN: 1089-7682. DOI:
10.1063/1.4928473.
Artemyev, AV,
Neishtadt, A, Vasiliev, A, Zelenyi, LM (2015)
Nonresonant charged particle acceleration by electrostatic wave propagating across fluctuating magnetic field,
Physical Review Letters, ISSN: 0031-9007. DOI:
10.1103/PhysRevLett.115.155001.
Artemyev, AV, Vasiliev, A, Mourenas, D,
Neishtadt, A, Agapitov, OV, Krasnoselskikh, V (2015)
Probability of relativistic electron trapping by parallel and oblique whistler-mode waves in Earth's radiation belts,
Physics of Plasmas, 22(11), ISSN: 1070-664X. DOI:
10.1063/1.4935842.
Artemyev, AV,
Neishtadt, AI, Zimovets, IV, Zelenyi, LM (2014)
Chaotic Charged Particle Motion and Acceleration in Reconnected Current Sheet,
Solar Physics, 290(3), pp.787-810, ISSN: 0038-0938. DOI:
10.1007/s11207-014-0639-y.
Neishtadt, AI (2014)
Averaging, passage through resonances, and capture into resonance in two-frequency systems,
Russian Mathematical Surveys, 69(5), pp.771-843, ISSN: 0036-0279. DOI:
10.1070/rm2014v069n05abeh004917.
Sidorenko, VV,
Neishtadt, AI, Artemyev, AV, Zelenyi, LM (2014)
Quasi-satellite orbits in the general context of dynamics in the 1:1 mean motion resonance: perturbative treatment,
Celestial Mechanics and Dynamical Astronomy, 120(2), pp.131-162, ISSN: 0923-2958. DOI:
10.1007/s10569-014-9565-4.
Artemyev, AV,
Neishtadt, AI, Zelenyi, LM (2014)
Rapid geometrical chaotization in slow-fast Hamiltonian systems,
Physical Review E, 89(6), 060902, ISSN: 1539-3755. DOI:
10.1103/physreve.89.060902.
Artemyev, A, Vainchtein, D,
Neishtadt, A, Zelenyi, L (2014)
Stability of relativistic surfatron acceleration,
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 89(4), ISSN: 1539-3755. DOI:
10.1103/PhysRevE.89.043106.
Itin, AP and
Neishtadt, AI (2014)
Effective Hamiltonians for fastly driven tight-binding chains,
Physics Letters, Section A: General, Atomic and Solid State Physics, ISSN: 0375-9601. DOI:
10.1016/j.physleta.2014.01.007.
Artemyev, AV,
Neishtadt, AI, Zelenyi, LM (2013)
Ion motion in the current sheet with sheared magnetic field-Part 2: Non-adiabatic effects,
Nonlinear Processes in Geophysics, 20(5), pp.899-919, ISSN: 1023-5809. DOI:
10.5194/npg-20-899-2013.
Neishtadt, A and Su, T (2013)
On asymptotic description of passage through a resonance in quasilinear hamiltonian systems,
SIAM Journal on Applied Dynamical Systems, 12(3), pp.1436-1473, DOI:
10.1137/120898061.
Sidorenko, VV,
Neishtadt, AI, Artemyev, AV, Zelenyi, LM (2013)
Quasi-satellite regime of motion of small celestial bodies: Formation and destruction,
Doklady Physics, 58(5), pp.207-211, ISSN: 1028-3358. DOI:
10.1134/S102833581305008X.
Artemyev, AV,
Neishtadt, AI, Zelenyi, LM (2013)
Ion motion in the current sheet with sheared magnetic field-Part 1: Quasi-adiabatic theory,
Nonlinear Processes in Geophysics, 20(1), pp.163-178, ISSN: 1023-5809. DOI:
10.5194/npg-20-163-2013.
Kuksin, SB and
Neishtadt, AI (2013)
On quantum averaging, quantum KAM, and quantum diffusion,
Russian Mathematical Surveys, 68(2), pp.335-348, ISSN: 0036-0279. DOI:
10.1070/RM2013v068n02ABEH004831.
Zelenyi, LM,
Neishtadt, AI, Artemyev, AV, Vainchtein, DL, Malova, HV (2013)
Quasiadiabatic dynamics of charged particles in a space plasma,
Physics-Uspekhi, 56(4), pp.347-394, ISSN: 1063-7869. DOI:
10.3367/UFNe.0183.201304b.0365.
Neishtadt, AI, Vasiliev, AA, Artemyev, AV (2013)
Capture into resonance and escape from it in a forced nonlinear pendulum,
Regular and Chaotic Dynamics, 18(6), pp.686-696, ISSN: 1560-3547. DOI:
10.1134/S1560354713060087.
Zelenyi, LM,
Neishtadt, AI, Artemyev, AV, Vainchtein, DL, Malova, HV (2013)
Quasiadiabatic dynamics of charged particles in a space plasma,
Uspekhi Fizicheskih Nauk, 183(4), pp.365-415, ISSN: 0042-1294. DOI:
10.3367/ufnr.0183.201304b.0365.
Itin, AP and
Neishtadt, AI (2012)
Directed transport in a classical lattice with a high-frequency driving,
PHYSICAL REVIEW E, 86(1), ARTN 016206, ISSN: 1539-3755. DOI:
10.1103/PhysRevE.86.016206.
Neishtadt, A and Su, T (2012)
On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase,
REGULAR & CHAOTIC DYNAMICS, 17(3-4), pp.359-366, ISSN: 1560-3547. DOI:
10.1134/S1560354712030100.
Itin, AP and
Neishtadt, AI (2012)
Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances,
Chaos, 22(2), ISSN: 1054-1500. DOI:
10.1063/1.4705101.
Vasiliev, A,
Neishtadt, A, Artemyev, A, Zelenyi, L (2012)
Jump of the adiabatic invariant at a separatrix crossing: Degenerate cases,
Physica D: Nonlinear Phenomena, 241(5), pp.566-573, ISSN: 0167-2789. DOI:
10.1016/j.physd.2011.11.015.
Neishtadt, AI and Artemyev, AV (2012)
Destruction of Adiabatic Invariance for Billiards in a Strong Nonuniform Magnetic Field,
PHYSICAL REVIEW LETTERS, 108(6), ARTN 064102, ISSN: 0031-9007. DOI:
10.1103/PhysRevLett.108.064102.
Artemyev, A, Vainchtein, D,
Neishtadt, A, Zelenyi, L (2011)
Resonant acceleration of charged particles in the presence of random fluctuations,
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 84(4), ISSN: 1539-3755. DOI:
10.1103/PhysRevE.84.046213.
Vasiliev, A,
Neishtadt, A, Artemyev, A (2011)
Nonlinear dynamics of charged particles in an oblique electromagnetic wave,
PHYSICS LETTERS A, 375(34), pp.3075-3079, ISSN: 0375-9601. DOI:
10.1016/j.physleta.2011.06.055.
Neishtadt, AI, Vasiliev, AA, Artemyev, AV (2011) Resonance-induced surfatron acceleration of a relativistic particle,
Moscow Mathematical Journal, 11(3), pp.531-545, ISSN: 1609-3321.
Neishtadt, A, Vainchtein, D, Vasiliev, A (2011)
Dynamics of electrons in a parabolic magnetic field perturbed by an electromagnetic wave,
Plasma Physics and Controlled Fusion, 53(8), ISSN: 0741-3335. DOI:
10.1088/0741-3335/53/8/085014.
Neishtadt, A and Treschev, D (2011)
Polymorphisms and adiabatic chaos,
Ergodic Theory and Dynamical Systems, 31, pp.259-284.
Bisnovatyi-Kogan, GS,
Neishtadt, AI, Seidov, ZF, Tsupko, OY, Krivosheyev, YM (2011)
Dynamical chaos in the problem of magnetic jet collimation,
Monthly Notices of the Royal Astronomical Society, 416(1), pp.747-756, ISSN: 0035-8711. DOI:
10.1111/j.1365-2966.2011.19092.x.
Artemyev, AV,
Neishtadt, AI, Zelenyi, LM (2011)
Jumps of adiabatic invariant at the separatrix of a degenerate saddle point,
Chaos, 21(4), ISSN: 1054-1500. DOI:
10.1063/1.3657916.
Artemyev, A,
Neishtadt, A, Zelenyi, L, Vainchtein, D (2010)
Adiabatic description of capture into resonance and surfatron acceleration of charged particles by electromagnetic waves,
Chaos, 20, pp.Art No. 043128-Art No. 043128, DOI:
10.1063/1.3518360.
Neishtadt, A, Artemyev, A, Zelenyi, L (2010) Regular and chaotic charged particle dynamics in low frequency waves and role separatrix crossings,
Regular and Chaotic Dynamics, pp.564-574.
Neishtadt, A (2009)
On stability loss delay for dynamical bifurcations,
Discrete and Continuous Dynamical Systems - Series S, 2(4), pp.897-909, ISSN: 1937-1632. DOI:
10.3934/dcdss.2009.2.897.
Abramov, AM, Arnol'd, VI, Bolsinov, AV, Varchenko, AN, Galgani, L, Zhilinskii, BI, Il'yashenko, YS, Kozlov, VV,
Neishtadt, AI, Piterbarg, VI, Khovanskii, AG, Yashchenko, VV (2009)
Nikolai Nikolaevich Nekhoroshev (obituary),
Russian Mathematical Surveys, 64(3), pp.561-566, ISSN: 0036-0279. DOI:
10.1070/rm2009v064n03abeh004622.
Leoncini, X,
Neishtadt, A, Vasiliev, A (2009)
Directed transport in a spatially periodic harmonic potential under periodic nonbiased forcing,
PHYSICAL REVIEW E, 79(2), ARTN 026213, ISSN: 1539-3755. DOI:
10.1103/PhysRevE.79.026213.
Neishtadt, A, Leoncini, X, Vasiliev, AA (2009) Directed transport in a spatially periodic potential under periodic non-biased forcing,
Phys. Rev. E, 79, p.026213.
Neishtadt, A, Artemyev, A, Zelenyi, L, Vainchtein, V (2009)
Surfatron acceleration in electromagnetic waves with low phase velocity,
JETP Letters, 89(9), pp.441-447, DOI:
10.1134/S0021364009090045.
Neishtadt, A, Vasiliev, A, Vainchtein, D (2009) Electron dynamics in parabolic magnetic field in the presence of an electrostatic wave,
Plasma Physics Reports, 35(12), pp.1021-1031.
Neishtadt, A, Simo, C, Treschev, D, Vasiliev, A (2008)
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems,
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 10(2-3), pp.621-650, ISSN: 1531-3492.
Keating, JP and
Neishtadt, AI (2008)
Nonlinearity is 20 years old in 2008!,
Nonlinearity, 21(1), ISSN: 0951-7715. DOI:
10.1088/0951-7715/21/1/E01.
Neishtadt, A and Gorelyshev, I (2008)
Jump in adiabatic invariant at a transition between modes of motion for systems with impacts,
Nonlinearity, 21, pp.661-676.
Neishtadt, A, Benettin, G, Guzzo, M (2008) A new problem of adiabatic invariance related to the rigid body dynamics,
Discrete Contin. Dyn. Syst, 21, pp.959-975.
Neishtadt, A and Gorelyshev, IV (2008) Change of the ray propagation mode in smoothly irregular waveguides,
Maths. Notes, 84, pp.328-341.
Neishtadt, A and Vasiliev, A (2007)
On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems,
CHAOS, 17(4), ARTN 043104, ISSN: 1054-1500. DOI:
10.1063/1.2790368.
Vasiliev, AA,
Neishtadt, AI, Simó, C, Treschev, DV (2007)
Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems,
Proceedings of the Steklov Institute of Mathematics, 259(1), pp.236-247, ISSN: 0081-5438. DOI:
10.1134/S0081543807040141.
Gorelyshev, IV and
Neishtadt, AI (2006)
On the adiabatic perturbation theory for systems with impacts,
Journal of Applied Mathematics and Mechanics, 70(1), pp.4-17, ISSN: 0021-8928. DOI:
10.1016/j.jappmathmech.2006.03.015.
Neishtadt, A and Gorelyshev, I (2006) On adiabatic perturbation theory for systems with elastic collisions,
J. Appl. Math. Mech, 70(No. 1), pp.4-7.
Neishtadt, A, Vainshtein, D, Mezic, I (2006) On passage through resonances in volume-preserving systems,
Chaos, 16, p.043123.
Neishtadt, A and Vasiliev, AA (2006) Destruction of adiabatic invariance at resonances in slow-fast Hamiltonian systems,
Nuclear Instruments and Methods in Physics Research A, 561, pp.158-165.
Neishtadt, A, Kilic, MS, Haller, G (2005)
Unsteady fluid flow separation by the method of averaging,
Physics of Fluids, 17, pp.067104 (1-13), ISSN: 1070-6631. DOI:
10.1063/1.1924698.
Neishtadt, A and Vasiliev, A (2005)
Phase change between separatrix crossings in slow-fast Hamiltonian systems,
Nonlinearity, 18(3), pp.1393-1406, ISSN: 1361-6544. DOI:
10.1088/0951-7715/18/3/023.
Neishtadt, A (2005) Capture into resonance and scattering on resonances in two-frequency systems,
Proceedings of the Steklov Institute of Mathematics, 250, pp.183-203.
Neishtadt, A, Vainshtein, D, Buechner, J, Zelenyi, L (2005) Quasiadiabatic description of non-linear particle dynamics in typical magnetotail configurations,
Nonlinear Processes in Geophysics, 12, pp.101-115.
Neishtadt, A, Barkov, M, Bisnovatyi Kogan, G, Belinski, V (2005) On chaotic behavior of gravitating stellar shells,
Chaos, 15, p.013104.
Neishtadt, A and Vasiliev, AA (2005) Capture into resonance in dynamics of a classical hydrogen atom in an oscillating electric field,
Physical Review E, 71, p.05662.
Neishtadt, A and Sinai, YG (2004)
Adiabatic piston as a dynamical system,
Journal of Statistical Physics, 116(1-4), pp.815-820, ISSN: 1572-9613. DOI:
10.1023/B:JOSS.0000037222.64432.62.
Neishtadt, A and Sidorenko, V (2004) Wisdom system: dynamics in the adiabatic approximation,
Celestial Mech. Dynam. Astronom, 90, pp.307-330.
Neishtadt, A, Vainshtein, DL, Rovinsky, EV, Zelenyi, LM (2004) Resonances and particle stochastization in nonhomogeneous electromagnetic fields,
J. Nonlinear Sci, 14, pp.173-205.
Neishtadt, A, Scheeres, D, Sidorenko, V, Stooke, P, Vasiliev, A (2003) The influence of reactive torques on comet nucleus rotation,
Celestial Mech. Dynam. Astronom, 86, pp.249-275.
Neishtadt, A, Simo, C, Vasiliev, A (2003) Geometric and statistical properties induced by separatrix crossings in volume-preserving systems,
Nonlinearity, 16, pp.521-557.
Neishtadt, A, Itin, AP, Vasiliev, AA (2003) Resonant phenomena in slowly perturbed elliptic billiards,
Regul. Chaotic Dynamics, 8, pp.9-66.
Neishtadt, A (2003) On averaging in two-frequency systems with small Hamiltonian and much smaller non-Hamiltonian perturbations,
Moscow Mathematical Journal, pp.1039-1052.
Itin, AP and
Neishtadt, AI (2003)
Resonant phenomena in slowly perturbed elliptic billiards,
Regular and Chaotic Dynamics, 8(1), pp.59-66, ISSN: 1560-3547. DOI:
10.1070/rd2003v008n01abeh000225.
Neishtadt, A, Scheeres, DJ, Sidorenko, VV, Vasiliev, AA (2002)
Evolution of comet nucleus rotation,
Icarus, 157(1), pp.205-218, ISSN: 0019-1035. DOI:
10.1006/icar.2002.6829.
Neishtadt, A, de la Llave, R, Itin, A, Vasiliev, A (2002) Transport in a slowly perturbed convective cell flow,
Chaos, 12, pp.1043-1053.
Itin, AP,
Neishtadt, AI, Vasiliev, AA (2001)
Resonant phenomena in slowly perturbed rectangular billiards,
Physics Letters A, 291(2-3), pp.133-138, ISSN: 0375-9601. DOI:
10.1016/s0375-9601(01)00670-3.
Neishtadt, AI and Pivovarov, ML (2000) Separatrix crossing in dynamics of dual-spin spacecraft,
Prikladnaya Matematika i Mekhanika, 64(5), pp.741-746, ISSN: 0032-8235.
Itin, AP,
Neishtadt, AI, Vasiliev, AA (2000)
Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave,
Physica D: Nonlinear Phenomena, 141(3-4), pp.281-296, ISSN: 0167-2789. DOI:
10.1016/s0167-2789(00)00039-7.
Sidorenko, VV and
Neishtadt, AI (2000) Investigation of the stability of long-periodic planar motion of a satellite in a circular orbit,
Cosmic Research, 38(3), pp.289-303, ISSN: 0010-9525.
Neishtadt, AI (2000)
On the accuracy of persistence of adiabatic invariant in single-frequency systems,
Regular and Chaotic Dynamics, 5(2), pp.213-213, ISSN: 1560-3547. DOI:
10.1070/rd2000v005n02abeh000143.
Neishtadt, AI and Pivovarov, ML (2000)
Separatrix crossing in the dynamics of a dual-spin satellite,
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 64(5), pp.709-714, ISSN: 0021-8928.
Vainshtein, DL, Zelenyi, LM,
Neishtadt, AI (1999) Motion of charged particles in the field of a monochromatic wave in the Earth's magnetospheric tail,
Plasma Physics Reports, 25(10), pp.817-826, ISSN: 1063-780X.
Vainshtein, DL, Zelenyi, LM,
Neishtadt, AI, Savenkov, BV (1999) Jumps in an adiabatic invariant with small initial values,
Plasma Physics Reports, 25(4), pp.299-303, ISSN: 1063-780X.
Neishtadt, AI and Vasiliev, AA (1999)
Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system,
Nonlinearity, 12(2), pp.303-320, ISSN: 0951-7715. DOI:
10.1088/0951-7715/12/2/010.
Neishtadt, AI, Vainshtein, DL, Vasiliev, AA (1998)
Chaotic advection in a cubic Stokes flow,
Physica D: Nonlinear Phenomena, 111(1-4), pp.227-242, ISSN: 0167-2789. DOI:
10.1016/s0167-2789(97)80013-9.
Neishtadt, AI and Sidorenko, VV (1997) The stability loss delay in Ziegler's system,
Prikladnaya Matematika i Mekhanika, 61(1), pp.18-29, ISSN: 0032-8235.
Neishtadt, AI, Sidorenko, VV, Treschev, DV (1997)
Stable periodic motions in the problem on passage through a separatrix,
Chaos, 7(1), pp.2-11, ISSN: 1054-1500. DOI:
10.1063/1.166236.
Neishtadt, AI and Sidorenko, VV (1997)
Stability loss delay in a Ziegler system,
Journal of Applied Mathematics and Mechanics, 61(1), pp.15-25, ISSN: 0021-8928. DOI:
10.1016/s0021-8928(97)00003-8.
Vainshtein, DL, Vasiliev, AA,
Neishtadt, AI (1996)
Adiabatic chaos in a two-dimensional mapping,
Chaos: An Interdisciplinary Journal of Nonlinear Science, 6(4), pp.514-518, ISSN: 1054-1500. DOI:
10.1063/1.166198.
Vainshtein, DL, Zelenyi, LM,
Neishtadt, AI (1996) Quasiadiabatic description of the motion of charged particles in the vicinity of the X-line,
Plasma Physics Reports, 22(11), pp.943-949, ISSN: 1063-780X.
Vainshtein, DL, Vasiliev, AA,
Neishtadt, AI (1996)
Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flow,
CHAOS, 6(1), pp.67-77, ISSN: 1054-1500. DOI:
10.1063/1.166151.
Neishtadt, A (1996)
Scattering by resonances,
Celestial Mechanics and Dynamical Astronomy, 65(1-2), pp.1-20, ISSN: 0923-2958. DOI:
10.1007/bf00048435.
VAINSHTEIN, DL, ZELENYI, LM,
NEISHTADT, AI (1995)
QUASI-ADIABATIC DESCRIPTION OF THE MOTION OF CHARGED-PARTICLES IN CONFIGURATIONS WITH A REVERSED MAGNETIC-FIELD,
PLASMA PHYSICS REPORTS, 21(6), pp.457-464, ISSN: 1063-780X.
Vasiliev, AA and
Neishtadt, AI (1994)
Regular and chaotic transport of impurities in steady flows,
CHAOS, 4(4), pp.673-680, ISSN: 1054-1500. DOI:
10.1063/1.166044.
Lebovitz, NR and
Neishtadt, A (1994)
Slow Evolution in Perturbed Hamiltonian Systems,
Studies in Applied Mathematics, 92(2), pp.127-144, ISSN: 0022-2526. DOI:
10.1002/sapm1994922127.
Lochak, P and
Neishtadt, AI (1992)
Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian,
CHAOS, 2(4), ISSN: 1054-1500. DOI:
10.1063/1.165891.
Chernikov, AA, Schmidt, G,
Neishtadt, AI (1992)
Unlimited particle acceleration by waves in a magnetic field,
Physical Review Letters, 68(10), pp.1507-1510, ISSN: 0031-9007. DOI:
10.1103/physrevlett.68.1507.
Chernikov, AA,
Neishtadt, AI, Rogal'sky, AV, Yakhnin, VZ (1991)
Lagrangian turbulence in nonstationary 2-D flows,
CHAOS, 1(2), ISSN: 1054-1500.
Neishtadt, AI (1991)
Probability phenomena due to separatrix crossing,
CHAOS, 1(1), pp.42-48, ISSN: 1054-1500. DOI:
10.1063/1.165816.
Natenzon, MY,
Neishtadt, AI, Sagdeev, RZ, Seryakov, GK, Zaslavsky, GM (1990)
Chaos in the Kepler problem and long-period comet dynamics,
Physics Letters A, 145(5), pp.255-264, ISSN: 0375-9601. DOI:
10.1016/0375-9601(90)90360-z.
Kozlov, VV and
Neishtadt, AI (1990)
On the realization of holonomic constraints,
Journal of Applied Mathematics and Mechanics, 54(5), pp.705-708, ISSN: 0021-8928. DOI:
10.1016/0021-8928(90)90121-p.
Carioli, SM, Chernikov, AA,
Neishtadt, AI (1989)
Stochastic and coherent acceleration of relativistic particles in a regular potential wavepacket perpendicular to a uniform magnetic field - I,
Physica Scripta, 40(6), pp.707-716, ISSN: 0031-8949. DOI:
10.1088/0031-8949/40/6/002.
NEISHTADT, AI and TIMOFEEV, AV (1987)
AUTORESONANCE ON ELECTRON-CYCLOTRON HEATING OF A PLASMA,
ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 93(5), pp.1706-1713, ISSN: 0044-4510.
Neishtadt, AI (1987)
On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom,
Journal of Applied Mathematics and Mechanics, 51(5), pp.586-592, ISSN: 0021-8928. DOI:
10.1016/0021-8928(87)90006-2.
Neishtadt, AI (1984)
The separation of motions in systems with rapidly rotating phase,
Journal of Applied Mathematics and Mechanics, 48(2), pp.133-139, ISSN: 0021-8928. DOI:
10.1016/0021-8928(84)90078-9.
Neishtadt, AI (1982)
Propagation of beams through smoothly irregular waveguides and theory of perturbations in hamiltonian systems,
Radiophysics and Quantum Electronics, 25(2), pp.157-164, ISSN: 0033-8443. DOI:
10.1007/bf01034266.
Neishtadt, AI (1981)
On the accuracy of conservation of the adiabatic invariant,
Journal of Applied Mathematics and Mechanics, 45(1), pp.58-63, ISSN: 0021-8928. DOI:
10.1016/0021-8928(81)90010-1.
Neishtadt, AI (1981)
Estimates in the kolmogorov theorem on conservation of conditionally periodic motions,
Journal of Applied Mathematics and Mechanics, 45(6), pp.766-772, ISSN: 0021-8928. DOI:
10.1016/0021-8928(81)90116-7.
Neishtadt, AI (1980) EVOLUTION OF ROTATION OF A SOLID ACTED UPON BY THE SUM OF A CONSTANT AND A DISSIPATIVE PERTURBING MOMENT,
Mechanics of solids, 15(6), pp.21-27, ISSN: 0025-6544.
Neishtadt, AI (1978)
Bifurcations of the phase pattern of an equation system arising in the problem of stability loss of selfoscillations close to 1:4 resonance,
Journal of Applied Mathematics and Mechanics, 42(5), pp.896-907, ISSN: 0021-8928. DOI:
10.1016/0021-8928(78)90036-9.
Neishtadt, AI (1975)
Passage through a separatrix in a resonance problem with a slowly-varying parameter,
Journal of Applied Mathematics and Mechanics, 39(4), pp.594-605, ISSN: 0021-8928. DOI:
10.1016/0021-8928(75)90060-x.
NEISHTADT, AI (1975)
PASSAGE THROUGH SEPARATRIX IN A RESONANCE PROBLEM WITH SLOW-CHANGING PARAMETER,
PRIKLADNAYA MATEMATIKA I MEKHANIKA, 39(4), pp.621-632, ISSN: 0032-8235.
