# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 109 Publications since 1975, including 3 Books Biographic References: 1 Publication
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#### Serials

 16 Chaos 9 Regular and Chaotic Dynamics 7 Journal of Applied Mathematics and Mechanics 7 Nonlinearity 6 Russian Mathematical Surveys 4 Physica D 4 Celestial Mechanics and Dynamical Astronomy 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
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#### Fields

 61 Mechanics of particles and systems (70-XX) 53 Dynamical systems and ergodic theory (37-XX) 32 Ordinary differential equations (34-XX) 13 Optics, electromagnetic theory (78-XX) 8 Fluid mechanics (76-XX) 6 History and biography (01-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

81 Publications have been cited 994 times in 746 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.
1997
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002
2006
The separation of motions in systems with rapidly rotating phase. Zbl 0571.70022
1985
Mathematical aspects of classical and celestial mechanics. Zbl 0674.70003
Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I.
1987
Mathematical aspects of classical and celestial mechanics. Zbl 0612.70002
Arnol’d, V. I.; Kozlov, V. V.; Nejshtadt, A. I.
1985
Persistence of stability loss for dynamical bifurcations. I. Zbl 0716.34064
1987
Passage through a separatrix in a resonance problem with a slowly-varying parameter. Zbl 0356.70020
1975
Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Zbl 1055.37573
1992
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.
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.
1996
On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom. Zbl 0677.70024
1987
Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029
Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V.
1997
Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions. Zbl 0515.70019
1981
On tightening of the loss of stability under dynamical bifurcations. I. Zbl 0646.34068
1987
Probability phenomena due to separatrix crossing. Zbl 0900.70221
1991
Phase change between separatrix crossings in slow-fast Hamiltonian systems. Zbl 1080.37064
2005
Scattering by resonances. Zbl 0881.58055
1997
Averaging, passage through resonances, and capture into resonance in two-frequency systems. Zbl 1319.34073
2014
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
2015
Wisdom system: dynamics in the adiabatic approximation. Zbl 1136.70007
Neishtadt, A. I.; Sidorenko, A. I. V. V.
2004
On stability loss delay for dynamical bifurcations. Zbl 1203.34083
2009
On passage through resonances in volume-preserving systems. Zbl 1146.37350
Vainchtein, D. L.; Neishtadt, A. I.; Mezic, I.
2006
Capture into resonance and scattering on resonances in two-frequency systems. Zbl 1127.34026
2005
Chaotic advection in a cubic Stokes flow. Zbl 0946.76012
Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A.
1998
Averaging method and adiabatic invariants. Zbl 1135.70006
2008
On adiabatic invariance in two-frequency systems. Zbl 0970.70016
1999
On deferring the loss of stability for dynamic bifurcations. II. Zbl 0677.58035
1988
Unsteady fluid flow separation by the method of averaging. Zbl 1187.76269
Kilic, M. S.; Haller, G.; Neishtadt, A.
2005
Averaging method for systems with separatrix crossing. Zbl 1381.37073
2017
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.
2014
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
2008
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
1996
Separatrix crossing in the dynamics of a dual-spin satellite. Zbl 0983.70020
Neishtadt, A. I.; Pivovarov, M. L.
2000
Adiabatic piston as a dynamical system. Zbl 1142.82351
Neishtadt, A. I.; Sinai, Y. G.
2004
Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system. Zbl 0984.76085
Neishtadt, A. I.; Vasiliev, A. A.
1999
Adiabatic chaos in a two-dimensional mapping. Zbl 1055.37546
Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I.
1996
On the accuracy of conservation of the adiabatic invariant. Zbl 0488.70016
1981
Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej
2003
Capture into resonance and escape from it in a forced nonlinear pendulum. Zbl 1286.70024
Neishtadt, Anatoly I.; Vasiliev, Alexey A.; Artemyev, Anton V.
2013
Jump in adiabatic invariant at a transition between modes of motion for systems with impacts. Zbl 1157.70013
2008
Stability of nearly integrable convex Hamiltonian systems over exponentially long times. Zbl 0807.70020
Lochak, P.; Neistadt, A. I.; Niederman, L.
1994
Jumps in the adiabatic invariant on crossing the separatrix and the origin of the 3:1 Kirkwood gap. Zbl 0642.70019
1987
On the realization of holonomic constraints. Zbl 0759.70011
Kozlov, V. V.; Nejshtadt, A. I.
1990
Transport in a slowly perturbed convective cell flow. Zbl 1080.76561
Itin, A. P.; de la Llave, R.; Neishtadt, A. I.; Vasiliev, A. A.
2002
Slow evolution in perturbed Hamiltonian systems. Zbl 0801.70011
1994
Resonant phenomena in slowly perturbed elliptic billiards. Zbl 1075.37518
Itin, A. P.; Neishtadt, A. I.
2003
Polymorphisms and adiabatic chaos. Zbl 1209.37035
2011
Adiabatic invariance in volume-preserving systems. Zbl 1207.70017
Neishtadt, Anatoly; Vainchtein, Dmitri; Vasiliev, Alexei
2008
Passage through a resonance in the two-frequency problem. Zbl 0325.70014
1975
Averaging in multifrequency systems. Zbl 0342.34028
1975
On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems. Zbl 1163.37355
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.
2007
Lagrangian turbulence in nonstationary 2-D flows. Zbl 0899.76237
Chernikov, A. A.; Neishtadt, A. I.; Rogal’skij, A. V.; Yakhnin, V. Z.
1991
Nonlinear dynamics of charged particles in an oblique electromagnetic wave. Zbl 1250.37031
Vasiliev, Alexei; Neishtadt, Anatoly; Artemyev, Anton
2011
On asymptotic description of passage through a resonance in quasilinear Hamiltonian systems. Zbl 1285.34054
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.
2012
Violation of adiabaticity in magnetic billiards due to separatrix crossings. Zbl 1374.37057
Artemyev, A. V.; Neishtadt, A. I.
2015
Averaging and passage through resonances. Zbl 0780.34025
1991
Resonances and particle stochastization in nonhomogeneous electromagnetic fields. Zbl 1086.78002
Vainchtein, D. L.; Rovinsky, E. V.; Zelenyi, L. M.; Neishtadt, A. I.
2004
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
2013
Adiabatic theory of perturbations for systems with elastic reflections. Zbl 1114.70324
Gorelyshev, I. V.; Neishtadt, A. I.
2006
Regular and chaotic transport of impurities in steady flows. Zbl 1055.76556
Vasiliev, A. A.; Neĭshtadt, A. I.
1994
On calculation of stability loss delay time for dynamical bifurcations. Zbl 1052.34504
1995
Resonant phenomena in slowly perturbed rectangular billiards. Zbl 0999.70017
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
2001
Effective Hamiltonians for fastly driven tight-binding chains. Zbl 1323.82005
Itin, A. P.; Neishtadt, A. I.
2014
A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly
2008
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.
2003
Delay of loss of stability in Ziegler’s system. Zbl 1040.70504
Nejshtadt, A. I.; Sidorenko, V. V.
1997
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
Collet, P. (ed.); Courbage, M. (ed.); Métens, S. (ed.); Neishtadt, A. (ed.); Zaslavsky, G. (ed.)
2005
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.
2010
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.
2009
Resonant phenomena in slowly irregular rectangular waveguides. Zbl 1117.78321
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
2005
Adiabatic chaos of streamlines in a family of 3D confined Stokes flows. Zbl 0997.76019
Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A.
1999
On the accuracy of persistence of an adiabatic invariant in single-frequency systems. Zbl 1051.70008
2000
On chaotic behavior of gravitating stellar shells. Zbl 1080.85001
Barkov, M. V.; Bisnovatyi-Kogan, G. S.; Neishtadt, A. I.; Belinski, V. A.
2005
On destruction of adiabatic invariants in multi-frequency systems. Zbl 0938.34529
1993
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
1979
On probabilistic phenomena in perturbed systems. Zbl 0790.60098
1993
On probabilistic phenomena in perturbed systems. Zbl 0799.34048
1993
On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. Zbl 1459.70039
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.
2018
On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. Zbl 1459.70039
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.
2018
Averaging method for systems with separatrix crossing. Zbl 1381.37073
2017
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
2015
Violation of adiabaticity in magnetic billiards due to separatrix crossings. Zbl 1374.37057
Artemyev, A. V.; Neishtadt, A. I.
2015
Averaging, passage through resonances, and capture into resonance in two-frequency systems. Zbl 1319.34073
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.
2014
Effective Hamiltonians for fastly driven tight-binding chains. Zbl 1323.82005
Itin, A. P.; Neishtadt, A. I.
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.
2013
On asymptotic description of passage through a resonance in quasilinear Hamiltonian systems. Zbl 1285.34054
2013
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
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.
2012
Polymorphisms and adiabatic chaos. Zbl 1209.37035
2011
Nonlinear dynamics of charged particles in an oblique electromagnetic wave. Zbl 1250.37031
Vasiliev, Alexei; Neishtadt, Anatoly; Artemyev, Anton
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.
2010
On stability loss delay for dynamical bifurcations. Zbl 1203.34083
2009
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol&rsquo;d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il&rsquo;yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
2009
Averaging method and adiabatic invariants. Zbl 1135.70006
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
2008
Jump in adiabatic invariant at a transition between modes of motion for systems with impacts. Zbl 1157.70013
2008
Adiabatic invariance in volume-preserving systems. Zbl 1207.70017
Neishtadt, Anatoly; Vainchtein, Dmitri; Vasiliev, Alexei
2008
A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly
2008
On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems. Zbl 1163.37355
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.
2007
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro. 3rd revised ed. Zbl 1105.70002
2006
On passage through resonances in volume-preserving systems. Zbl 1146.37350
Vainchtein, D. L.; Neishtadt, A. I.; Mezic, I.
2006
Adiabatic theory of perturbations for systems with elastic reflections. Zbl 1114.70324
Gorelyshev, I. V.; Neishtadt, A. I.
2006
Phase change between separatrix crossings in slow-fast Hamiltonian systems. Zbl 1080.37064
2005
Capture into resonance and scattering on resonances in two-frequency systems. Zbl 1127.34026
2005
Unsteady fluid flow separation by the method of averaging. Zbl 1187.76269
Kilic, M. S.; Haller, G.; Neishtadt, A.
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
Collet, P.; Courbage, M.; Métens, S.; Neishtadt, A.; Zaslavsky, G.
2005
Resonant phenomena in slowly irregular rectangular waveguides. Zbl 1117.78321
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
2005
On chaotic behavior of gravitating stellar shells. Zbl 1080.85001
Barkov, M. V.; Bisnovatyi-Kogan, G. S.; Neishtadt, A. I.; Belinski, V. A.
2005
Wisdom system: dynamics in the adiabatic approximation. Zbl 1136.70007
Neishtadt, A. I.; Sidorenko, A. I. V. V.
2004
Adiabatic piston as a dynamical system. Zbl 1142.82351
Neishtadt, A. I.; Sinai, Y. G.
2004
Resonances and particle stochastization in nonhomogeneous electromagnetic fields. Zbl 1086.78002
Vainchtein, D. L.; Rovinsky, E. V.; Zelenyi, L. M.; Neishtadt, A. I.
2004
Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej
2003
Resonant phenomena in slowly perturbed elliptic billiards. Zbl 1075.37518
Itin, A. P.; Neishtadt, A. I.
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.
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.
2002
Resonant phenomena in slowly perturbed rectangular billiards. Zbl 0999.70017
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A.
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.
2000
Separatrix crossing in the dynamics of a dual-spin satellite. Zbl 0983.70020
Neishtadt, A. I.; Pivovarov, M. L.
2000
On the accuracy of persistence of an adiabatic invariant in single-frequency systems. Zbl 1051.70008
2000
On adiabatic invariance in two-frequency systems. Zbl 0970.70016
1999
Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system. Zbl 0984.76085
Neishtadt, A. I.; Vasiliev, A. A.
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.
1999
Chaotic advection in a cubic Stokes flow. Zbl 0946.76012
Neishtadt, A. I.; Vainshtein, D. L.; Vasiliev, A. A.
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.
1997
Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029
Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V.
1997
Scattering by resonances. Zbl 0881.58055
1997
Delay of loss of stability in Ziegler’s system. Zbl 1040.70504
Nejshtadt, A. I.; Sidorenko, V. V.
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.
1996
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
1996
Adiabatic chaos in a two-dimensional mapping. Zbl 1055.37546
Vainshtein, D. L.; Vasiliev, A. A.; Neishtadt, A. I.
1996
On calculation of stability loss delay time for dynamical bifurcations. Zbl 1052.34504
1995
Stability of nearly integrable convex Hamiltonian systems over exponentially long times. Zbl 0807.70020
Lochak, P.; Neistadt, A. I.; Niederman, L.
1994
Slow evolution in perturbed Hamiltonian systems. Zbl 0801.70011
1994
Regular and chaotic transport of impurities in steady flows. Zbl 1055.76556
Vasiliev, A. A.; Neĭshtadt, A. I.
1994
On destruction of adiabatic invariants in multi-frequency systems. Zbl 0938.34529
1993
On probabilistic phenomena in perturbed systems. Zbl 0790.60098
1993
On probabilistic phenomena in perturbed systems. Zbl 0799.34048
1993
Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. Zbl 1055.37573
1992
Probability phenomena due to separatrix crossing. Zbl 0900.70221
1991
Lagrangian turbulence in nonstationary 2-D flows. Zbl 0899.76237
Chernikov, A. A.; Neishtadt, A. I.; Rogal&rsquo;skij, A. V.; Yakhnin, V. Z.
1991
Averaging and passage through resonances. Zbl 0780.34025
1991
On the realization of holonomic constraints. Zbl 0759.70011
Kozlov, V. V.; Nejshtadt, A. I.
1990
On deferring the loss of stability for dynamic bifurcations. II. Zbl 0677.58035
1988
Mathematical aspects of classical and celestial mechanics. Zbl 0674.70003
Arnol&rsquo;d, V. I.; Kozlov, V. V.; Nejshtadt, A. I.
1987
Persistence of stability loss for dynamical bifurcations. I. Zbl 0716.34064
1987
On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom. Zbl 0677.70024
1987
On tightening of the loss of stability under dynamical bifurcations. I. Zbl 0646.34068
1987
Jumps in the adiabatic invariant on crossing the separatrix and the origin of the 3:1 Kirkwood gap. Zbl 0642.70019
1987
The separation of motions in systems with rapidly rotating phase. Zbl 0571.70022
1985
Mathematical aspects of classical and celestial mechanics. Zbl 0612.70002
Arnol&rsquo;d, V. I.; Kozlov, V. V.; Nejshtadt, A. I.
1985
Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions. Zbl 0515.70019
1981
On the accuracy of conservation of the adiabatic invariant. Zbl 0488.70016
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
1979
Passage through a separatrix in a resonance problem with a slowly-varying parameter. Zbl 0356.70020
1975
Passage through a resonance in the two-frequency problem. Zbl 0325.70014
1975
Averaging in multifrequency systems. Zbl 0342.34028
1975
all top 5

all top 5

#### Cited in 163 Serials

 55 Physica D 44 Regular and Chaotic Dynamics 39 Celestial Mechanics and Dynamical Astronomy 37 Chaos 31 Journal of Differential Equations 30 Journal of Applied Mathematics and Mechanics 24 Journal of Mathematical Sciences (New York) 23 Prikladnaya Matematika i Mekhanika 18 Journal of Nonlinear Science 17 Journal of Mathematical Physics 16 Nonlinearity 15 Proceedings of the Steklov Institute of Mathematics 14 Physics Letters. A 14 Russian Journal of Mathematical Physics 12 Communications in Mathematical Physics 12 Communications in Nonlinear Science and Numerical Simulation 11 Discrete and Continuous Dynamical Systems 11 Nonlinear Dynamics 9 Mathematical Notes 9 Theoretical and Mathematical Physics 9 Journal of Geometry and Physics 8 Nelineĭnaya Dinamika 7 Journal of Fluid Mechanics 7 Reports on Mathematical Physics 7 Russian Mathematical Surveys 7 Indagationes Mathematicae. New Series 6 Applied Mathematics and Computation 6 Journal of Dynamics and Differential Equations 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Physics of Fluids 6 SIAM Journal on Applied Dynamical Systems 5 Archive for Rational Mechanics and Analysis 5 Journal of Statistical Physics 5 Chaos, Solitons and Fractals 5 Annales de l’Institut Fourier 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Journal of Dynamical and Control Systems 4 Ukrainian Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Transactions of the American Mathematical Society 4 Ergodic Theory and Dynamical Systems 4 Mathematical Problems in Engineering 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Geometric Mechanics 4 Mechanics of Solids 3 Journal of Engineering Mathematics 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Transactions of the Moscow Mathematical Society 3 Applied Numerical Mathematics 3 SIAM Journal on Mathematical Analysis 3 Archive of Applied Mechanics 3 Qualitative Theory of Dynamical Systems 3 Foundations of Computational Mathematics 3 Science China. Mathematics 3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 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 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Acta Applicandae Mathematicae 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 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 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Science China. Technological Sciences 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Nonlinear Analysis. Theory, Methods & Applications 2 Arnold Mathematical Journal 1 International Journal of Modern Physics B 1 Astrophysics and Space Science 1 Biological Cybernetics 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 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Automatica 1 BIT 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Mechanics Research Communications ...and 63 more Serials
all top 5

#### Cited in 47 Fields

 424 Mechanics of particles and systems (70-XX) 381 Dynamical systems and ergodic theory (37-XX) 174 Ordinary differential equations (34-XX) 64 Partial differential equations (35-XX) 53 Fluid mechanics (76-XX) 36 Numerical analysis (65-XX) 34 Differential geometry (53-XX) 34 Statistical mechanics, structure of matter (82-XX) 30 Quantum theory (81-XX) 27 Optics, electromagnetic theory (78-XX) 17 Probability theory and stochastic processes (60-XX) 14 Mechanics of deformable solids (74-XX) 14 Biology and other natural sciences (92-XX) 14 Systems theory; control (93-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Relativity and gravitational theory (83-XX) 9 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 Algebraic topology (55-XX) 4 History and biography (01-XX) 4 Difference and functional equations (39-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 General topology (54-XX)

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