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Zevin, Alexandr A.

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Author ID: zevin.alexandr-a Recent zbMATH articles by "Zevin, Alexandr A."
Published as: Zevin, A. A.; Zevin, Alexandr; Zevin, Alexandr A.
Documents Indexed: 73 Publications since 1969, including 1 Book

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 185 times in 160 Documents Cited by Year
Normal modes and localization in nonlinear systems. Zbl 0917.93001
Vakakis, Alexander F.; Manevitch, Leonid I.; Mikhlin, Yuri V.; Pilipchuk, Valery N.; Zevin, Alexandr A.
85
1996
Exponential stability and solution bounds for systems with bounded nonlinearities. Zbl 1364.93610
Zevin, Alexandr; Pinsky, Mark
13
2003
Oscillations of a pendulum with a periodically varying length and a model of swing. Zbl 1342.70057
Pinsky, M. A.; Zevin, A. A.
7
1999
Sharp estimates for the amplitudes of periodic solutions to Lipschitz differential equations. Zbl 1288.34041
Zevin, A. A.
6
2008
Minimal periods of periodic solutions of some Lipschitzian differential equations. Zbl 1171.34343
Zevin, A. A.; Pinsky, M. A.
5
2009
Qualitative investigation of oscillations of a pendulum with periodically changing length and a mathematical swing model. Zbl 1164.70025
Zevin, A. A.; Filonenko, L. A.
5
2007
Sharp estimates for the periods and amplitudes of periodic solutions to differential equations with delay. Zbl 1280.34070
Zevin, A. A.
5
2007
Delay-independent stability conditions for time-varying nonlinear uncertain systems. Zbl 1366.93454
Zevin, Alexandr A.; Pinsky, Mark A.
5
2006
Minimal periods of solutions of Lipschitzian differential equations in a vector space with an arbitrary norm. Zbl 1268.34082
Zevin, A. A.
4
2012
Monotonicity criteria for an energy-period function in planar Hamiltonian systems. Zbl 1001.37054
Zevin, A. A.; Pinsky, M. A.
4
2001
Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization. Zbl 1109.70308
Zevin, Alexandr A.; Pinsky, Mark A.
4
2000
The necessary and sufficient conditions for the stability of linear systems with an arbitrary delay. Zbl 1272.34073
Zevin, A. A.
3
2010
General solution of stability problem for plane linear switched systems and differential inclusions. Zbl 1367.34078
Zevin, A. A.; Pinsky, Mark A.
3
2008
Criteria for the exponential stability of nonlinear integral and differential equations with delay. Zbl 1138.93044
Zevin, A. A.
3
2006
Optimal exponential feedback stabilization of planar systems. Zbl 1233.93078
Zevin, A. A.; Pinsky, M. A.
2
2011
Bounds for periodic solutions of vector second-order nonlinear differential equations. Zbl 1121.34049
Zevin, A. A.; Pinsky, M. A.
2
2007
Solution to the generalized Lur’e problem for two classes of control systems. Zbl 1082.93051
Zevin, A. A.
2
2005
Absolute stability criteria for a generalized Lur’e problem with delay in the feedback. Zbl 1078.93057
Zevin, A. A.; Pinsky, M. A.
2
2005
Analysis of stability and instability regions in parametrically excited Hamiltonian systems. Zbl 0878.58032
Zevin, A. A.
2
1997
Generalization of the Rayleigh theorem to nonlinear and parametrically excited systems. Zbl 1064.70513
Zevin, A. A.
2
1994
A theory of linear non-conservative systems. Zbl 0696.70011
Zevin, A. A.
2
1988
Some conditions for the existence and stability of periodic oscillations in non-linear non-autonomous Hamiltonian systems. Zbl 0585.70021
Zevin, A. A.
2
1984
Stability of periodic oscillations in systems with mild and strict nonlinearity. Zbl 0464.70023
Zevin, A. A.
2
1980
The theory of parametric oscillations. Zbl 1327.34061
Zevin, A. A.
1
2014
Two-sided bounds for the largest Lyapunov exponent and exponential stability criteria for nonlinear systems with arbitrary delays. Zbl 1307.34089
Zevin, A. A.; Poslavskii, S. Yu.
1
2012
Sharp bounds for Lyapunov exponents and stability conditions for uncertain systems with delays. Zbl 1368.93617
Zevin, Alexandr A.; Pinsky, Mark A.
1
2010
Sharp bounds for periodic solutions of Lipschitzian differential equations. Zbl 1178.34084
Zevin, A. A.
1
2009
Existence and stability of families of periodic solutions in superlinear and sublinear Hamiltonian systems. Zbl 1129.37342
Zevin, A. A.
1
2005
New approach to stability theory of linear canonical systems of differential equations with periodic coefficients. Zbl 1150.70365
Zevin, A. A.
1
2004
The generalized index of a linear canonical system with periodic coefficients. Zbl 1197.34054
Zevin, A. A.
1
2002
Global continuation of Lyapunov centre orbits in Hamiltonian systems. Zbl 0956.37015
Zevin, A. A.
1
1999
Stability regions of linear canonical systems with periodic coefficients. Zbl 1050.70525
Zevin, A. A.
1
1998
On the prescribed-period problem for autonomous Hamiltonian systems. Zbl 0891.58014
Zevin, A. A.
1
1998
Localization of periodic oscillations in discrete non-linear systems. Zbl 1232.70035
Zevin, A. A.
1
1996
Nonlocal criteria for the existence and stability of periodic oscillations in autonomous Hamiltonian systems. Zbl 0618.70012
Zevin, A. A.
1
1986
Bounds of periodic solutions of systems of nonlinear second-order differential equations. Zbl 0585.34011
Zevin, A. A.
1
1985
Optimal control of periodic processes. Zbl 0481.49006
Zevin, A. A.
1
1980
Über Funktionen gebrochener Exponentialoperatoren in der Theorie der hereditären Elastizität. Zbl 0269.73038
Zevin, A. A.
1
1969
The theory of parametric oscillations. Zbl 1327.34061
Zevin, A. A.
1
2014
Minimal periods of solutions of Lipschitzian differential equations in a vector space with an arbitrary norm. Zbl 1268.34082
Zevin, A. A.
4
2012
Two-sided bounds for the largest Lyapunov exponent and exponential stability criteria for nonlinear systems with arbitrary delays. Zbl 1307.34089
Zevin, A. A.; Poslavskii, S. Yu.
1
2012
Optimal exponential feedback stabilization of planar systems. Zbl 1233.93078
Zevin, A. A.; Pinsky, M. A.
2
2011
The necessary and sufficient conditions for the stability of linear systems with an arbitrary delay. Zbl 1272.34073
Zevin, A. A.
3
2010
Sharp bounds for Lyapunov exponents and stability conditions for uncertain systems with delays. Zbl 1368.93617
Zevin, Alexandr A.; Pinsky, Mark A.
1
2010
Minimal periods of periodic solutions of some Lipschitzian differential equations. Zbl 1171.34343
Zevin, A. A.; Pinsky, M. A.
5
2009
Sharp bounds for periodic solutions of Lipschitzian differential equations. Zbl 1178.34084
Zevin, A. A.
1
2009
Sharp estimates for the amplitudes of periodic solutions to Lipschitz differential equations. Zbl 1288.34041
Zevin, A. A.
6
2008
General solution of stability problem for plane linear switched systems and differential inclusions. Zbl 1367.34078
Zevin, A. A.; Pinsky, Mark A.
3
2008
Qualitative investigation of oscillations of a pendulum with periodically changing length and a mathematical swing model. Zbl 1164.70025
Zevin, A. A.; Filonenko, L. A.
5
2007
Sharp estimates for the periods and amplitudes of periodic solutions to differential equations with delay. Zbl 1280.34070
Zevin, A. A.
5
2007
Bounds for periodic solutions of vector second-order nonlinear differential equations. Zbl 1121.34049
Zevin, A. A.; Pinsky, M. A.
2
2007
Delay-independent stability conditions for time-varying nonlinear uncertain systems. Zbl 1366.93454
Zevin, Alexandr A.; Pinsky, Mark A.
5
2006
Criteria for the exponential stability of nonlinear integral and differential equations with delay. Zbl 1138.93044
Zevin, A. A.
3
2006
Solution to the generalized Lur’e problem for two classes of control systems. Zbl 1082.93051
Zevin, A. A.
2
2005
Absolute stability criteria for a generalized Lur’e problem with delay in the feedback. Zbl 1078.93057
Zevin, A. A.; Pinsky, M. A.
2
2005
Existence and stability of families of periodic solutions in superlinear and sublinear Hamiltonian systems. Zbl 1129.37342
Zevin, A. A.
1
2005
New approach to stability theory of linear canonical systems of differential equations with periodic coefficients. Zbl 1150.70365
Zevin, A. A.
1
2004
Exponential stability and solution bounds for systems with bounded nonlinearities. Zbl 1364.93610
Zevin, Alexandr; Pinsky, Mark
13
2003
The generalized index of a linear canonical system with periodic coefficients. Zbl 1197.34054
Zevin, A. A.
1
2002
Monotonicity criteria for an energy-period function in planar Hamiltonian systems. Zbl 1001.37054
Zevin, A. A.; Pinsky, M. A.
4
2001
Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization. Zbl 1109.70308
Zevin, Alexandr A.; Pinsky, Mark A.
4
2000
Oscillations of a pendulum with a periodically varying length and a model of swing. Zbl 1342.70057
Pinsky, M. A.; Zevin, A. A.
7
1999
Global continuation of Lyapunov centre orbits in Hamiltonian systems. Zbl 0956.37015
Zevin, A. A.
1
1999
Stability regions of linear canonical systems with periodic coefficients. Zbl 1050.70525
Zevin, A. A.
1
1998
On the prescribed-period problem for autonomous Hamiltonian systems. Zbl 0891.58014
Zevin, A. A.
1
1998
Analysis of stability and instability regions in parametrically excited Hamiltonian systems. Zbl 0878.58032
Zevin, A. A.
2
1997
Normal modes and localization in nonlinear systems. Zbl 0917.93001
Vakakis, Alexander F.; Manevitch, Leonid I.; Mikhlin, Yuri V.; Pilipchuk, Valery N.; Zevin, Alexandr A.
85
1996
Localization of periodic oscillations in discrete non-linear systems. Zbl 1232.70035
Zevin, A. A.
1
1996
Generalization of the Rayleigh theorem to nonlinear and parametrically excited systems. Zbl 1064.70513
Zevin, A. A.
2
1994
A theory of linear non-conservative systems. Zbl 0696.70011
Zevin, A. A.
2
1988
Nonlocal criteria for the existence and stability of periodic oscillations in autonomous Hamiltonian systems. Zbl 0618.70012
Zevin, A. A.
1
1986
Bounds of periodic solutions of systems of nonlinear second-order differential equations. Zbl 0585.34011
Zevin, A. A.
1
1985
Some conditions for the existence and stability of periodic oscillations in non-linear non-autonomous Hamiltonian systems. Zbl 0585.70021
Zevin, A. A.
2
1984
Stability of periodic oscillations in systems with mild and strict nonlinearity. Zbl 0464.70023
Zevin, A. A.
2
1980
Optimal control of periodic processes. Zbl 0481.49006
Zevin, A. A.
1
1980
Über Funktionen gebrochener Exponentialoperatoren in der Theorie der hereditären Elastizität. Zbl 0269.73038
Zevin, A. A.
1
1969
all top 5

Cited by 210 Authors

23 Zevin, Alexandr A.
15 Vakakis, Alexander F.
12 Manevich, Leonid Isaakovich
10 Gendelman, Oleg V.
8 Starosvetsky, Yuli
7 Bergman, Lawrence A.
6 Avramov, K. V.
6 Lamarque, Claude-Henri
5 Kerschen, Gaetan
5 Mcfarland, D. Michael
4 Mikhlin, Yuri Vladimirovich
4 Vũ Ngoc Phát
4 Wang, Fengxia
3 Awrejcewicz, Jan
3 Bajaj, Anil K.
3 Filonenko, L. A.
3 Lee, Young Sup
3 Liang, Zaitao
3 Pernot, Stéphane
3 Pilipchuk, Valery N.
3 Pinsky, Mark A.
3 Villadelprat, Jordi
2 Andrianov, Igor V.
2 Belyakov, Anton O.
2 Cong, Shen
2 Golinval, Jean-Claude
2 James, Guillaume
2 Jayaprakash, K. R.
2 Koroleva, Irina Pavlovna
2 Kovaleva, A. S.
2 Kovaleva, Margarita Alekseevna
2 Luongo, Angelo
2 Manucharyan, Gayane V.
2 Mikhlin, Yu. V.
2 Niamsup, Piyapong
2 Nucera, Francesco
2 Pak, Chol-Hyok
2 Panagopoulos, Panagiotis N.
2 Pham Huu Anh Ngoc
2 Robinson, James Cooper
2 Savadkoohi, Alireza Ture
2 Seyranian, Alexander P.
2 Sinou, Jean-Jacques
2 Thouverez, Fabrice
2 Torres, Pedro José
2 Uspensky, B. V.
2 Vaurigaud, Bastien
2 Vestroni, Fabrizio
1 Akhmet, Marat Ubaydulla
1 Al-Khaled, Kamel M.
1 Amabili, Marco
1 Amer, Tarek S.
1 Andrianov, Igor Vasil’evich
1 Antman, Stuart S.
1 Arena, Andrea
1 Azeez, M. A. F.
1 Aziz, M. A. F.
1 Bartuccelli, Michele V.
1 Bendiksen, Oddvar O.
1 Berezansky, Leonid M.
1 Bhat, Harish S.
1 Bouaziz, Abdelhaq
1 Braverman, Elena
1 Bravyi, Eugene I.
1 Bravyi, Evgeniy I.
1 Butcher, Eric A.
1 Cai, Chengwu
1 Cai, Xiushan
1 Cammarano, Andrea
1 Casini, Paolo
1 Celletti, Alessandra
1 Chan, Ho-Chung
1 Chen, Taiyong
1 Cheung, Ying Kuen K.
1 Chu, Jifeng
1 Daraio, Chiara
1 Darouach, Mohamed
1 de la Sen, Manuel
1 Delezoide, Pierre
1 Dunatunga, Sachith
1 Feldman, Michael
1 Fen, Mehmet Onur
1 Feng, Jian
1 Fernández Guasti, Manuel
1 Ferreira, Cynthia
1 Flach, Sergej
1 Fonda, Alessandro
1 Garrione, Maurizio
1 Gentile, Guido
1 Gidoni, Paolo
1 Gil’, Michael Iosif
1 Gol’dengershel’, Eh. I.-G.
1 Gourdon, E.
1 Gourdon, Jan E.
1 Grinberg, Itay
1 Ha, Q. P.
1 Hajji, Mohamed Ali
1 Hammami, Maher
1 Hammami, Mohamed Ali
1 Hanagud, Sathya V.
...and 110 more Authors
all top 5

Cited in 60 Serials

33 Nonlinear Dynamics
10 Journal of Applied Mathematics and Mechanics
10 Physica D
7 Prikladnaya Matematika i Mekhanika
7 Doklady Mathematics
5 Journal of Mathematical Analysis and Applications
5 Chaos, Solitons and Fractals
4 Acta Mechanica
4 International Journal of Control
4 Mathematical Problems in Engineering
3 Journal of Differential Equations
3 Meccanica
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Chaos
3 Communications in Nonlinear Science and Numerical Simulation
2 Wave Motion
2 Applied Mathematics and Computation
2 Automatica
2 Applied Mathematics Letters
2 Archive of Applied Mechanics
2 Journal of Vibration and Control
2 Abstract and Applied Analysis
2 Regular and Chaotic Dynamics
2 Archives of Computational Methods in Engineering
2 SIAM Journal on Applied Dynamical Systems
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Systems Science
1 Journal of the Franklin Institute
1 Physics Letters. A
1 Ukrainian Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Systems & Control Letters
1 Circuits, Systems, and Signal Processing
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Automation and Remote Control
1 Celestial Mechanics and Dynamical Astronomy
1 International Journal of Robust and Nonlinear Control
1 Doklady Akademii Nauk
1 Russian Mathematics
1 International Applied Mechanics
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 Taiwanese Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 European Journal of Mechanics. A. Solids
1 Doklady Physics
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics and Computing
1 Proceedings of the Steklov Institute of Mathematics
1 Advances in Mathematical Physics
1 Advances in Nonlinear Analysis
1 Nonlinear Analysis. Theory, Methods & Applications
1 Mechanics of Solids

Citations by Year