Neishtadt, Anatoly; Okunev, Alexey Phase change and order 2 averaging for one-frequency systems with separatrix crossing. (English) Zbl 1508.37074 Nonlinearity 35, No. 8, 4469-4516 (2022). Reviewer: Stefan Suhr (Bochum) MSC: 37J40 34C29 70K65 70K60 PDFBibTeX XMLCite \textit{A. Neishtadt} and \textit{A. Okunev}, Nonlinearity 35, No. 8, 4469--4516 (2022; Zbl 1508.37074) Full Text: DOI arXiv
Neishtadt, Anatoly; Sheng, Kaicheng; Sidorenko, Vladislav Stability analysis of apsidal alignment in double-averaged restricted elliptic three-body problem. (English) Zbl 1490.70035 Celest. Mech. Dyn. Astron. 133, No. 10, Paper No. 45, 23 p. (2021). MSC: 70F07 70F15 70H14 PDFBibTeX XMLCite \textit{A. Neishtadt} et al., Celest. Mech. Dyn. Astron. 133, No. 10, Paper No. 45, 23 p. (2021; Zbl 1490.70035) Full Text: DOI
Neishtadt, Anatoly On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. (English) Zbl 1459.70039 Nonlinearity 32, No. 11, R53-R76 (2019). MSC: 70H11 70H05 70K65 70K70 34E13 PDFBibTeX XMLCite \textit{A. Neishtadt}, Nonlinearity 32, No. 11, R53--R76 (2019; Zbl 1459.70039) Full Text: DOI
Bao, Jinrong; Neishtadt, Anatoly Separatrix crossing in rotation of a body with changing geometry of masses. (English) Zbl 1446.70014 SIAM J. Appl. Dyn. Syst. 18, No. 1, 150-171 (2019). MSC: 70E20 70E55 70H11 70K55 70K65 PDFBibTeX XMLCite \textit{J. Bao} and \textit{A. Neishtadt}, SIAM J. Appl. Dyn. Syst. 18, No. 1, 150--171 (2019; Zbl 1446.70014) Full Text: DOI arXiv
Artemyev, A. V.; Neishtadt, A. I.; Vainchtein, D. L.; Vasiliev, A. A.; Vasko, I. Y.; Zelenyi, L. M. Trapping (capture) into resonance and scattering on resonance: summary of results for space plasma systems. (English) Zbl 1508.81970 Commun. Nonlinear Sci. Numer. Simul. 65, 111-160 (2018). MSC: 81V19 78A45 81U10 85A30 PDFBibTeX XMLCite \textit{A. V. Artemyev} et al., Commun. Nonlinear Sci. Numer. Simul. 65, 111--160 (2018; Zbl 1508.81970) Full Text: DOI Link
Neishtadt, A. I.; Sheng, Kaicheng Bifurcations of phase portraits of pendulum with vibrating suspension point. (English) Zbl 1510.70060 Commun. Nonlinear Sci. Numer. Simul. 47, 71-80 (2017). MSC: 70K50 34C23 34C29 37J20 70E17 70K65 PDFBibTeX XMLCite \textit{A. I. Neishtadt} and \textit{K. Sheng}, Commun. Nonlinear Sci. Numer. Simul. 47, 71--80 (2017; Zbl 1510.70060) Full Text: DOI arXiv Link
Neishtadt, Anatoly Averaging method for systems with separatrix crossing. (English) Zbl 1381.37073 Nonlinearity 30, No. 7, 2871-2917 (2017). Reviewer: Josef Diblík (Brno) MSC: 37J40 34C29 70K65 70H08 34E10 PDFBibTeX XMLCite \textit{A. Neishtadt}, Nonlinearity 30, No. 7, 2871--2917 (2017; Zbl 1381.37073) Full Text: DOI arXiv Link
Artemyev, A. V.; Neishtadt, A. I. Violation of adiabaticity in magnetic billiards due to separatrix crossings. (English) Zbl 1374.37057 Chaos 25, No. 8, 083109, 7 p. (2015). MSC: 37D50 PDFBibTeX XMLCite \textit{A. V. Artemyev} and \textit{A. I. Neishtadt}, Chaos 25, No. 8, 083109, 7 p. (2015; Zbl 1374.37057) Full Text: DOI Link
Sidorenko, Vladislav V.; Neishtadt, Anatoly I.; Artemyev, Anton V.; Zelenyi, Lev M. Quasi-satellite orbits in the general context of dynamics in the \(1:1\) mean motion resonance: perturbative treatment. (English) Zbl 1298.70011 Celest. Mech. Dyn. Astron. 120, No. 2, 131-162 (2014). MSC: 70F07 70F15 70M20 PDFBibTeX XMLCite \textit{V. V. Sidorenko} et al., Celest. Mech. Dyn. Astron. 120, No. 2, 131--162 (2014; Zbl 1298.70011) Full Text: DOI arXiv
Artemyev, A. V.; Neishtadt, A. I.; Zelenyi, L. M. Jumps of adiabatic invariant at the separatrix of a degenerate saddle point. (English) Zbl 1317.70017 Chaos 21, No. 4, 043120, 10 p. (2011). MSC: 70K70 70K55 37N05 PDFBibTeX XMLCite \textit{A. V. Artemyev} et al., Chaos 21, No. 4, 043120, 10 p. (2011; Zbl 1317.70017) Full Text: DOI
Itin, A. P.; Neishtadt, A. I.; Vasiliev, A. A. Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave. (English) Zbl 0982.78004 Physica D 141, No. 3-4, 281-296 (2000). MSC: 78A35 37N20 PDFBibTeX XMLCite \textit{A. P. Itin} et al., Physica D 141, No. 3--4, 281--296 (2000; Zbl 0982.78004) Full Text: DOI
Nejshtadt, A. I.; Sidorenko, V. V. Delay of loss of stability in Ziegler’s system. (English. Russian original) Zbl 1040.70504 J. Appl. Math. Mech. 61, No. 1, 15-25 (1997); translation from Prikl. Mat. Mekh. 61, No. 1, 18-29 (1997). MSC: 70K20 PDFBibTeX XMLCite \textit{A. I. Nejshtadt} and \textit{V. V. Sidorenko}, Prikl. Mat. Mekh. 61, No. 1, 15--25 (1997; Zbl 1040.70504); translation from Prikl. Mat. Mekh. 61, No. 1, 18--29 (1997) Full Text: DOI
Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V. Stable periodic motions in the problem on passage through a separatrix. (English) Zbl 1002.34029 Chaos 7, No. 1, 2-11 (1997). MSC: 34C25 37J45 34C14 70H05 70K99 PDFBibTeX XMLCite \textit{A. I. Neishtadt} et al., Chaos 7, No. 1, 2--11 (1997; Zbl 1002.34029) Full Text: DOI
Lebovitz, Norman R.; Neishtadt, Anatoly Slow evolution in perturbed Hamiltonian systems. (English) Zbl 0801.70011 Stud. Appl. Math. 92, No. 2, 127-144 (1994). MSC: 70H05 37J99 37J40 PDFBibTeX XMLCite \textit{N. R. Lebovitz} and \textit{A. Neishtadt}, Stud. Appl. Math. 92, No. 2, 127--144 (1994; Zbl 0801.70011) Full Text: DOI
Lochak, P.; Neĭshtadt, A. I. Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian. (English) Zbl 1055.37573 Chaos 2, No. 4, 495-499 (1992). MSC: 37J25 70H08 37J40 PDFBibTeX XMLCite \textit{P. Lochak} and \textit{A. I. Neĭshtadt}, Chaos 2, No. 4, 495--499 (1992; Zbl 1055.37573) Full Text: DOI
Neishtadt, A. I. Probability phenomena due to separatrix crossing. (English) Zbl 0900.70221 Chaos 1, No. 1, 42-48 (1991). MSC: 70H05 37J40 PDFBibTeX XMLCite \textit{A. I. Neishtadt}, Chaos 1, No. 1, 42--48 (1991; Zbl 0900.70221) Full Text: DOI