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Sevryuk, Mikhail Borisovich

Author ID: sevryuk.mikhail-borisovich Recent zbMATH articles by "Sevryuk, Mikhail Borisovich"
Published as: Sevryuk, M. B.; Sevryuk, Mikhail B.; Sevryuk, Mikhail Borisovich; Sevryuk, Mikhail
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 793 times in 413 Documents Cited by Year
Reversible systems. Zbl 0661.58002
Sevryuk, M. B.
176
1986
Families of quasi-periodic motions in dynamical systems depending on parameters. Zbl 0842.58067
Broer, H. W.; Huitema, G. B.; Sevryuk, M. B.
109
1996
Quasi-periodic motions in families of dynamical systems. Order amidst chaos. Zbl 0870.58087
Broer, H. W.; Huitema, G. B.; Sevryuk, M. B.
69
1997
Partial preservation of frequencies in KAM theory. Zbl 1100.37037
Sevryuk, Mikhail B.
47
2006
KAM-stable Hamiltonians. Zbl 0951.37038
Sevryuk, M. B.
46
1995
The iteration-approximation decoupling in the reversible KAM theory. Zbl 1055.37576
Sevryuk, M. B.
38
1995
Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m. Zbl 0703.34018
Sevryuk, M. B.
35
1990
KAM theory: quasi-periodicity in dynamical systems. Zbl 1242.37040
Broer, H. W.; Sevryuk, Mikhail B.
27
2010
The finite-dimensional reversible KAM theory. Zbl 1194.37151
Sevryuk, M. B.
23
1998
New results in the reversible KAM theory. Zbl 0804.34045
Sevryuk, Mikhail B.
20
1994
Lower-dimensional tori in reversible systems. Zbl 0899.58017
Sevryuk, M. B.
19
1991
The classical KAM theory at the dawn of the twenty-first century. Zbl 1121.37045
Sevryuk, Mikhail B.
17
2003
Invariant tori in quasi-periodic non-autonomous dynamical systems via Herman’s method. Zbl 1130.37030
Sevryuk, Mikhail B.
14
2007
Reversible linear reversible systems and their versal deformations. Zbl 0784.34010
Sevryuk, M. B.
14
1991
KAM theorems for the product of two involutions of different types. Zbl 1055.37575
Quispel, G. R. W.; Sevryuk, M. B.
12
1993
On invariant tori of reversible systems in the neighbourhood of an equilibrium position. Zbl 0647.58041
Sevryuk, M. B.
10
1987
The reversible context 2 in KAM theory: the first steps. Zbl 1277.37091
Sevryuk, Mikhail B.
10
2011
The lack-of-parameters problem in the KAM theory revisited. Zbl 0974.37047
Sevryuk, M. B.
9
1999
KAM tori: Persistence and smoothness. Zbl 1148.37032
Sevryuk, Mikhail B.
9
2008
Excitation of elliptic normal modes of invariant tori in Hamiltonian systems. Zbl 0885.58029
Sevryuk, M. B.
8
1997
Estimate of the number of collisions of \(n\) elastic particles on a line. Zbl 0798.70009
Sevryuk, M. B.
8
1993
KAM theory for lower dimensional tori within the reversible context 2. Zbl 1334.70038
Sevryuk, Mikhail B.
8
2012
New cases of quasiperiodic motions in reversible systems. Zbl 1055.37520
Sevryuk, M. B.
7
1993
Partial preservation of frequencies and Floquet exponents in KAM theory. Zbl 1153.37405
Sevryuk, M. B.
7
2007
Some problems in KAM-theory: conditionally-periodic motions in generic systems. Zbl 0859.58012
Sevryuk, M. B.
6
1995
Invariant tori of Hamiltonian systems that are nondegenerate in Rüssmann’s sense. Zbl 0973.37035
Sevryuk, M. B.
6
1996
Quasi-periodic perturbations within the reversible context 2 in KAM theory. Zbl 1263.70023
Sevryuk, Mikhail B.
5
2012
Invariant m-dimensional tori of invertible systems with phase space of dimension greater than 2m. Zbl 0689.34013
Sevryuk, M. B.
3
1989
Invariant tori of reversible systems of intermediate dimensions. Zbl 0864.58046
Sevryuk, M. B.
3
1993
Whitney smooth families of invariant tori within the reversible context 2 of KAM theory. Zbl 1369.70044
Sevryuk, Mikhail B.
3
2016
Invariant sets of degenerate Hamiltonian systems near equilibria. Zbl 0940.70012
Sevryuk, M. B.
2
1998
Excitation of elliptic normal modes of invariant tori in volume preserving flows. Zbl 1022.37040
Sevryuk, Mikhail B.
2
2001
Linear reversible systems and their versal deformations. Zbl 0747.34010
Sevryuk, M. B.
2
1991
Asymptotic (short-wave) equivalence of one-dimensional Schrödinger equations by formal canonical transformations and its generalizations. Zbl 0756.34086
Aquilanti, Vincenzo; Cavalli, Simonetta; Sevryuk, Mikhail B.
2
1991
Stability of invariant curves in four-dimensional reversible mappings near 1:1 resonance. Zbl 0772.58042
Lahiri, A.; Bhowal, A.; Roy, T. K.; Sevryuk, M. B.
2
1993
Asymptotic (semiclassical) equivalence for Schrödinger equations with singular potentials and for related systems of two first-order equations. Zbl 0780.34056
Aquilanti, Vincenzo; Cavall, Simonetta; Sevryuk, Mikhail B.
2
1993
Hamiltonian and reversible systems with smooth families of invariant tori. Zbl 1464.37065
Sevryuk, Mikhail B.
2
2021
Herman’s approach to quasi-periodic perturbations in the reversible KAM context 2. Zbl 1456.70038
Sevryuk, Mikhail B.
2
2017
Families of invariant tori in KAM theory: interplay of integer characteristics. Zbl 1384.37078
Sevryuk, Mikhail B.
1
2017
On the convergence of coordinate transformations in the KAM procedure. Zbl 0980.70011
Sevryuk, M. B.
1
2000
Invariant tori of intermediate dimensions in Hamiltonian systems. Zbl 0922.58032
Sevryuk, M. B.
1
1997
Invariant tori of intermediate dimensions in Hamiltonian systems. Zbl 0926.37015
Sevryuk, M. B.
1
1998
The cohomology of projectively compactified complex swallowtails and their complements. Zbl 0608.58010
Sevryuk, M. B.
1
1984
Stationary and nonstationary stability of periodic solutions of reversible systems. Zbl 0717.35006
Sevryuk, M. B.
1
1989
Translation of the V. I. Arnold paper “From superpositions to KAM theory”. Zbl 1348.70002
Sevryuk, Mikhail B.
1
2014
Integrable Hamiltonian systems with a periodic orbit or invariant torus unique in the whole phase space. Zbl 1435.37091
Sevryuk, Mikhail B.
1
2018
Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2. Zbl 1462.37074
Sevryuk, M. B.
1
2021
Hamiltonian and reversible systems with smooth families of invariant tori. Zbl 1464.37065
Sevryuk, Mikhail B.
2
2021
Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2. Zbl 1462.37074
Sevryuk, M. B.
1
2021
Integrable Hamiltonian systems with a periodic orbit or invariant torus unique in the whole phase space. Zbl 1435.37091
Sevryuk, Mikhail B.
1
2018
Herman’s approach to quasi-periodic perturbations in the reversible KAM context 2. Zbl 1456.70038
Sevryuk, Mikhail B.
2
2017
Families of invariant tori in KAM theory: interplay of integer characteristics. Zbl 1384.37078
Sevryuk, Mikhail B.
1
2017
Whitney smooth families of invariant tori within the reversible context 2 of KAM theory. Zbl 1369.70044
Sevryuk, Mikhail B.
3
2016
Translation of the V. I. Arnold paper “From superpositions to KAM theory”. Zbl 1348.70002
Sevryuk, Mikhail B.
1
2014
KAM theory for lower dimensional tori within the reversible context 2. Zbl 1334.70038
Sevryuk, Mikhail B.
8
2012
Quasi-periodic perturbations within the reversible context 2 in KAM theory. Zbl 1263.70023
Sevryuk, Mikhail B.
5
2012
The reversible context 2 in KAM theory: the first steps. Zbl 1277.37091
Sevryuk, Mikhail B.
10
2011
KAM theory: quasi-periodicity in dynamical systems. Zbl 1242.37040
Broer, H. W.; Sevryuk, Mikhail B.
27
2010
KAM tori: Persistence and smoothness. Zbl 1148.37032
Sevryuk, Mikhail B.
9
2008
Invariant tori in quasi-periodic non-autonomous dynamical systems via Herman’s method. Zbl 1130.37030
Sevryuk, Mikhail B.
14
2007
Partial preservation of frequencies and Floquet exponents in KAM theory. Zbl 1153.37405
Sevryuk, M. B.
7
2007
Partial preservation of frequencies in KAM theory. Zbl 1100.37037
Sevryuk, Mikhail B.
47
2006
The classical KAM theory at the dawn of the twenty-first century. Zbl 1121.37045
Sevryuk, Mikhail B.
17
2003
Excitation of elliptic normal modes of invariant tori in volume preserving flows. Zbl 1022.37040
Sevryuk, Mikhail B.
2
2001
On the convergence of coordinate transformations in the KAM procedure. Zbl 0980.70011
Sevryuk, M. B.
1
2000
The lack-of-parameters problem in the KAM theory revisited. Zbl 0974.37047
Sevryuk, M. B.
9
1999
The finite-dimensional reversible KAM theory. Zbl 1194.37151
Sevryuk, M. B.
23
1998
Invariant sets of degenerate Hamiltonian systems near equilibria. Zbl 0940.70012
Sevryuk, M. B.
2
1998
Invariant tori of intermediate dimensions in Hamiltonian systems. Zbl 0926.37015
Sevryuk, M. B.
1
1998
Quasi-periodic motions in families of dynamical systems. Order amidst chaos. Zbl 0870.58087
Broer, H. W.; Huitema, G. B.; Sevryuk, M. B.
69
1997
Excitation of elliptic normal modes of invariant tori in Hamiltonian systems. Zbl 0885.58029
Sevryuk, M. B.
8
1997
Invariant tori of intermediate dimensions in Hamiltonian systems. Zbl 0922.58032
Sevryuk, M. B.
1
1997
Families of quasi-periodic motions in dynamical systems depending on parameters. Zbl 0842.58067
Broer, H. W.; Huitema, G. B.; Sevryuk, M. B.
109
1996
Invariant tori of Hamiltonian systems that are nondegenerate in Rüssmann’s sense. Zbl 0973.37035
Sevryuk, M. B.
6
1996
KAM-stable Hamiltonians. Zbl 0951.37038
Sevryuk, M. B.
46
1995
The iteration-approximation decoupling in the reversible KAM theory. Zbl 1055.37576
Sevryuk, M. B.
38
1995
Some problems in KAM-theory: conditionally-periodic motions in generic systems. Zbl 0859.58012
Sevryuk, M. B.
6
1995
New results in the reversible KAM theory. Zbl 0804.34045
Sevryuk, Mikhail B.
20
1994
KAM theorems for the product of two involutions of different types. Zbl 1055.37575
Quispel, G. R. W.; Sevryuk, M. B.
12
1993
Estimate of the number of collisions of \(n\) elastic particles on a line. Zbl 0798.70009
Sevryuk, M. B.
8
1993
New cases of quasiperiodic motions in reversible systems. Zbl 1055.37520
Sevryuk, M. B.
7
1993
Invariant tori of reversible systems of intermediate dimensions. Zbl 0864.58046
Sevryuk, M. B.
3
1993
Stability of invariant curves in four-dimensional reversible mappings near 1:1 resonance. Zbl 0772.58042
Lahiri, A.; Bhowal, A.; Roy, T. K.; Sevryuk, M. B.
2
1993
Asymptotic (semiclassical) equivalence for Schrödinger equations with singular potentials and for related systems of two first-order equations. Zbl 0780.34056
Aquilanti, Vincenzo; Cavall, Simonetta; Sevryuk, Mikhail B.
2
1993
Lower-dimensional tori in reversible systems. Zbl 0899.58017
Sevryuk, M. B.
19
1991
Reversible linear reversible systems and their versal deformations. Zbl 0784.34010
Sevryuk, M. B.
14
1991
Linear reversible systems and their versal deformations. Zbl 0747.34010
Sevryuk, M. B.
2
1991
Asymptotic (short-wave) equivalence of one-dimensional Schrödinger equations by formal canonical transformations and its generalizations. Zbl 0756.34086
Aquilanti, Vincenzo; Cavalli, Simonetta; Sevryuk, Mikhail B.
2
1991
Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m. Zbl 0703.34018
Sevryuk, M. B.
35
1990
Invariant m-dimensional tori of invertible systems with phase space of dimension greater than 2m. Zbl 0689.34013
Sevryuk, M. B.
3
1989
Stationary and nonstationary stability of periodic solutions of reversible systems. Zbl 0717.35006
Sevryuk, M. B.
1
1989
On invariant tori of reversible systems in the neighbourhood of an equilibrium position. Zbl 0647.58041
Sevryuk, M. B.
10
1987
Reversible systems. Zbl 0661.58002
Sevryuk, M. B.
176
1986
The cohomology of projectively compactified complex swallowtails and their complements. Zbl 0608.58010
Sevryuk, M. B.
1
1984
all top 5

Cited by 418 Authors

30 Xu, Junxiang
20 Sevryuk, Mikhail Borisovich
20 Zhang, Dongfeng
17 Broer, Henk W.
16 Hanßmann, Heinz
16 Li, Yong
13 de la Llave, Rafael
13 Lamb, Jeroen S. W.
11 Celletti, Alessandra
11 Si, Wen
10 Wang, Xiaocai
10 Yi, Yingfei
8 Si, Jianguo
7 Calleja, Renato C.
7 Gonchenko, Sergey V.
7 Haro, Àlex
7 Li, Xiong
7 Teixeira, Marco Antonio
7 You, Jiangong
6 Barreira, Luis Manuel
6 Bounemoura, Abed Bounemoura
6 Cong, Fuzhong
6 Li, Jia
6 Valls Anglés, Cláudia
6 Villanueva, Jordi
6 Yuan, Xiaoping
5 Liu, Bin
5 Luque, Alejandro
5 Qian, Weichao
5 Quispel, Gilles Reinout Willem
5 Roberts, John Anthony Gerard
5 Simó, Carles
5 Tkhaĭ, Valentin Nikolaevich
5 Turaev, Dmitry V.
5 Yang, Xiaojing
5 Yang, Xue
4 Berti, Massimiliano
4 Fayad, Bassam R.
4 Gonchenko, Marina S.
4 Hoveijn, Igor
4 Huang, Peng
4 Jorba, Àngel
4 Li, Xuemei
4 Meiss, James D.
4 Verhulst, Ferdinand
4 Yang, Xiaomei
3 Bhowal, Ajanta
3 Biasco, Luca
3 Canadell, Marta
3 Capel, Hans W.
3 Ciocci, Maria-Cristina
3 Czyzowicz, Jurek
3 Delshams, Amadeu
3 Figueras, Jordi-Lluís
3 Giné, Jaume
3 González-Enríquez, Alejandra
3 Han, Yuecai
3 Kazakov, Alexey O.
3 Kranakis, Evangelos Konstantinou
3 Lázaro, Jose Tomas
3 Lhotka, Christoph
3 Lu, Xuezhu
3 Modin, Klas
3 Niederman, Laurent
3 Pacheco, Eduardo
3 Palacián, Jesús F.
3 Procesi, Michela
3 Qu, Ru
3 Roy, Tarun K.
3 Sire, Yannick
3 Valdebenito, Darío A.
3 Wagener, Florian
3 Yanguas, Patricia
3 Zhao, Xuefeng
2 Aquilanti, Vincenzo
2 Baake, Michael
2 Bäcker, Arnd
2 Bakri, Taoufik
2 Bambusi, Dario
2 Baptistelli, Patrícia Hernandes
2 Bustamante, Adrián P.
2 Buzzi, Claudio Aguinaldo
2 Cao, Xiaofei
2 Champneys, Alan R.
2 Chavarriga, Javier
2 Chen, Lizhou
2 Cheng, Rong
2 Chierchia, Luigi
2 da Rocha Medrado, João Carlos
2 Eliasson, L. Hakan
2 Fischler, Stéphane
2 Fontich, Ernest
2 Fu, Ying
2 Geng, Jiansheng
2 Guan, Xinyu
2 Hernandes, Maria Elenice Rodrigues
2 Jing, Tianqi
2 Kazarinoff, Nicholas D.
2 Kong, Yuedong
2 Krikorian, Raphaël
...and 318 more Authors
all top 5

Cited in 122 Serials

41 Journal of Differential Equations
39 Physica D
21 Regular and Chaotic Dynamics
20 Journal of Dynamics and Differential Equations
16 Journal of Mathematical Analysis and Applications
15 Discrete and Continuous Dynamical Systems
12 Chaos
11 Nonlinearity
10 Qualitative Theory of Dynamical Systems
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal of Mathematical Physics
7 Acta Applicandae Mathematicae
6 Applied Mathematics and Computation
6 Indagationes Mathematicae. New Series
6 Journal of Nonlinear Science
6 SIAM Journal on Applied Dynamical Systems
5 Archive for Rational Mechanics and Analysis
5 Advances in Mathematics
5 Ergodic Theory and Dynamical Systems
5 Communications in Nonlinear Science and Numerical Simulation
5 Communications on Pure and Applied Analysis
4 Physics Letters. A
4 Journal of Geometry and Physics
4 Prikladnaya Matematika i Mekhanika
4 Proceedings of the American Mathematical Society
4 Journal of Mathematical Sciences (New York)
4 Abstract and Applied Analysis
4 Acta Mathematica Sinica. English Series
3 Chaos, Solitons and Fractals
3 Transactions of the American Mathematical Society
3 Celestial Mechanics and Dynamical Astronomy
3 Journal of Difference Equations and Applications
3 Annales Henri Poincaré
3 Proceedings of the Steklov Institute of Mathematics
2 Computers & Mathematics with Applications
2 Communications in Mathematical Physics
2 Journal of Applied Mathematics and Mechanics
2 Journal of Statistical Physics
2 Mathematical Notes
2 Physica A
2 Rocky Mountain Journal of Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Soviet Mathematics
2 Memoirs of the American Mathematical Society
2 Topology and its Applications
2 Chinese Annals of Mathematics. Series B
2 Science in China. Series A
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Doklady Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Singularities
1 International Journal of Theoretical Physics
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Physics Reports
1 Reviews of Modern Physics
1 Wave Motion
1 Mathematics of Computation
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 BIT
1 Commentarii Mathematici Helvetici
1 Computing
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Publications Mathématiques
1 Integral Equations and Operator Theory
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Applied Numerical Mathematics
1 Forum Mathematicum
1 Journal of the Ramanujan Mathematical Society
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Distributed Computing
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Topological Methods in Nonlinear Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Bulletin des Sciences Mathématiques
1 Complexity
1 Izvestiya: Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Taiwanese Journal of Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Dynamical and Control Systems
1 Nonlinear Analysis. Real World Applications
1 Dynamical Systems
...and 22 more Serials

Citations by Year