Loughborough University
Leicestershire, UK
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Loughborough University

Loughborough University Research Publications


Publications for Anatoly Neishtadt

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Journal Articles

Neishtadt, A (Accepted for publication) On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems, Nonlinearity, ISSN: 0951-7715.

Artemyev, A, Neishtadt, A, Vasiliev, A (Accepted for publication) Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics, Physica D: Nonlinear Phenomena, ISSN: 0167-2789.

Artemyev, A, Vasiliev, A, Neishtadt, A (2019) Charged particle nonlinear resonance with localized electrostatic wave-packets, Communications in Nonlinear Science and Numerical Simulation, 72, pp.392-406, ISSN: 1007-5704. DOI: 10.1016/j.cnsns.2019.01.011.

Neishtadt, A, Artemyev, A, Turaev, D (2019) Remarkable charged particle dynamics near magnetic field null lines, Chaos, 29(5), ISSN: 1089-7682. DOI: 10.1063/1.5097838.

Bao, J and Neishtadt, A (2019) Separatrix crossing in rotation of a body with changing geometry of masses, SIAM Journal on Applied Dynamical Systems, 18(1), pp.150-171, ISSN: 1536-0040. DOI: 10.1137/18M119687X.

Mourenas, D, Zhang, X-J, Artemyev, A, Angelopoulos, V, Thorne, R, 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, A, Neishtadt, A, Vainchtein, D, Vasiliev, A, Vasko, I, Zelenyi, L (2018) Trapping (capture) into resonance and scattering on resonance: summary of results for space plasma systems, Communications in Nonlinear Science and Numerical Simulation, 65, pp.111-160, ISSN: 1007-5704. DOI: 10.1016/j.cnsns.2018.05.004.

Artemyev, A, 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, 905840206, ISSN: 0022-3778. DOI: 10.1017/S0022377818000260.

Neishtadt, A (2017) Averaging method for systems with separatrix crossing, Nonlinearity, 30(7), pp.2871-2917, ISSN: 1361-6544.

Artemyev, A, Neishtadt, A, Vasiliev, A, Mourenas, D (2017) Probabilistic approach to nonlinear wave-particle resonant interaction, Physical Review E, 95, 023204, ISSN: 2470-0053.

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, Neishtadt, A, Vasiliev, A, Mourenas, D (2016) Kinetic equation for nonlinear resonant wave-particle interaction, Physics of Plasmas, 090701, ISSN: 1089-7674.

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, A, Vasiliev, A, Mourenas, D, Neishtadt, A, Agapitov, A, Krasnoselskikh, V (2015) Probability of relativistic electron trapping by parallel and oblique whistler-mode waves in Earth’s radiation belts, Physics of Plasmas, 22, 112903, ISSN: 1089-7674. DOI: 10.1063/1.4935842.

Artemyev, A, Neishtadt, A, Vasiliev, A, Zelenyi, L (2015) Nonresonant charged particle acceleration by electrostatic wave propagating across fluctuating magnetic field, Physical Review Letters, ISSN: 0031-9007.

Neishtadt, A and Artemyev, A (2015) Violation of adiabaticity in magnetic billiards due to separatrix crossings, Chaos, 25(8), ISSN: 1089-7682. DOI: 10.1063/1.4928473.

Medvedev, A, Neishtadt, A, Treschev, D (2015) Lagrangian tori near resonances of near-integrable Hamiltonian systems, Nonlinearity, 28(7), ISSN: 1361-6544.

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.

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.

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.

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.

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.

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.

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, 84(4), ARTN 046213, ISSN: 1539-3755. DOI: 10.1103/PhysRevE.84.046213.

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.

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, 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.

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.

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.

Neishtadt, A and Treschev, D (2011) Polymorphisms and adiabatic chaos., Ergodic Theory and Dynamical Systems, 31, pp.259-284.

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, Art No. 043128.

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: 2470-0045. DOI: 10.1103/PhysRevE.79.026213.

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, Artemyev, A, Zelenyi, L, Vainchtein, V (2009) Surfatron acceleration in electromagnetic waves with low phase velocity, JETP Letters, 89(9), pp.441-447.

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, 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, IV (2008) Change of the ray propagation mode in smoothly irregular waveguides, Maths. Notes, 84, pp.328-341.

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, I (2008) Jump in adiabatic invariant at a transition between modes of motion for systems with impacts., Nonlinearity, 21, pp.661-676.

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(2), pp.236-247, ISSN: 0081-5438. DOI: 10.1134/S0081543807040141.

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.

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 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, Vainshtein, D, Mezic, I (2006) On passage through resonances in volume-preserving systems, Chaos, 16, p.043123.

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, 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 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, Barkov, M, Bisnovatyi Kogan, G, Belinski, V (2005) On chaotic behavior of gravitating stellar shells, Chaos, 15, p.013104.

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 (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 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, Vainshtein, DL, Rovinsky, EV, Zelenyi, LM (2004) Resonances and particle stochastization in nonhomogeneous electromagnetic fields, J. Nonlinear Sci, 14, pp.173-205.

Neishtadt, A and Sidorenko, V (2004) Wisdom system: dynamics in the adiabatic approximation, Celestial Mech. Dynam. Astronom, 90, pp.307-330.

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/RD2003v008n0lABEH000225.

Neishtadt, A (2003) On averaging in two-frequency systems with small Hamiltonian and much smaller non-Hamiltonian perturbations, Moscow Mathematical Journal, pp.1039-1052.

Neishtadt, A, Itin, AP, Vasiliev, AA (2003) Resonant phenomena in slowly perturbed elliptic billiards, Regul. Chaotic Dynamics, 8, pp.9-66.

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, 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, 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) , Regular and Chaotic Dynamics, 5(2), pp.213-213, ISSN: 1560-3547. DOI: 10.1070/rd2000v005n02abeh000143.

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 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.

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, A (1996) Scattering by resonances, Celestial Mechanics and Dynamical Astronomy, 65(1-2), pp.6-20, ISSN: 0923-2958.

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.

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 (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) 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 (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 (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.



Conferences

Vasiliev, AA, Artemyev, AV, Neishtadt, AI, Vainchtein, DL, Zelenyi, LM (2012) RESONANT INTERACTION OF CHARGED PARTICLES WITH ELECTRO MAGNETIC WAVES. In , CHAOS, COMPLEXITY AND TRANSPORT, pp.3-15.

Grinfeld, D, Makarov, A, Skoblin, M, Monastyrskiy, M, Denisov, E, Neishtadt, A (2012) Perturbation theory and space-charge ion dynamics in Orbitrap mass analyser. In 13th Seminar “Recent Trends in Charged Particle Optics and Surface Physics Instrumentation”, Brno, pp.21-24, ISBN: 978-80-87441-07-7.

Neishtadt, A, Vainchtein, D, Vasiliev, A (2008) Adiabatic invariance in volume-preserving systems. In IUTAM Bookser, (ed) IUTAM Symposium on Hamiltonian Dynamics,Vortex Structures, Turbulence, 6 Springer-Verlag, pp.89-107.

Itin, AP, Neishtadt, AI, Vasiliev, AA (2005) Resonant Phenomena in Slowly Irregular Rectangular Waveguides. In , Journal of Mathematical Sciences, pp.2778-2781, DOI: 10.1007/s10958-005-0230-z.

Neishtadt, A (2005) Probability phenomena in perturbed dynamical systems. In Proceedings of the XXI International Congress of Theoretical and Applied Mechanics, In: Mechanics of the 21st Century, Springer-Verlag, pp.241-261.

Neishtadt, AI, Scheeres, D, Sidorenko, VV, Vasiliev, AA (2002) The influence of reactive torques on comet nucleus rotation. In , European Space Agency, (Special Publication) ESA SP, pp.601-604.

Neishtadt, A (1996) Scattering by resonances. In , CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, pp.1-20.



Books

Neishtadt, A (2008) Averaging method and adiabatic invariants, Hamiltonian dynamical systems and applications.

Neishtadt, A, Arnold, VI, Kozlov, VV (2006) Mathematical Aspects of Classical and Celestial Mechanics, H. Systems, Encyclopaedia of Mathematical Sciences, Vol. 3 Dynamical -3. Third Edition.

Neishtadt, A (2006) Averaging Methods, Encyclopedia of Mathematical Physics.



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