Edit Profile Zevin, Alexandr A. Compute Distance To: Compute Author ID: zevin.alexandr-a Published as: Zevin, A. A.; Zevin, Alexandr; Zevin, Alexandr A. Documents Indexed: 73 Publications since 1969, including 1 Book all top 5 Co-Authors 46 single-authored 16 Pinsky, Mark A. 4 Filonenko, L. A. 3 Arutyunyan, N. Kh. 1 Manevich, Leonid Isaakovich 1 Mikhlin, Yuri Vladimirovich 1 Moroz, B. I. 1 Padva, I. G. 1 Pilipchuk, Valery N. 1 Poslavskii, S. Yu. 1 Vakakis, Alexander F. all top 5 Serials 11 Doklady Mathematics 10 Journal of Applied Mathematics and Mechanics 5 Nonlinearity 4 International Journal of Non-Linear Mechanics 4 Prikladnaya Matematika i Mekhanika 4 Soviet Applied Mechanics 4 IEEE Transactions on Automatic Control 3 SIAM Journal on Control and Optimization 2 Journal of Sound and Vibration 2 Differential Equations 2 Automation and Remote Control 2 Izvestiya Akademii Nauk Armyanskoi SSR. Mekhanika 2 Discrete and Continuous Dynamical Systems 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Journal of Mathematical Analysis and Applications 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Automatica 1 Applied Mathematics Letters 1 Soviet Physics. Doklady 1 Doklady Akademii Nauk 1 Electronic Journal of Differential Equations (EJDE) 1 Nonlinear Dynamics 1 Matematicheskaya Fizika i Nelineĭnaya Mekhanika 1 Dynamical Systems 1 Matematicheskaya Fizika 1 Matematicheskie Metody Resheniya Èkonomicheskikh Zadach 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 35 Ordinary differential equations (34-XX) 25 Mechanics of particles and systems (70-XX) 17 Dynamical systems and ergodic theory (37-XX) 13 Systems theory; control (93-XX) 8 Mechanics of deformable solids (74-XX) 2 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 0917.93001Vakakis, 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 1364.93610Zevin, Alexandr; Pinsky, Mark 13 2003 Oscillations of a pendulum with a periodically varying length and a model of swing. Zbl 1342.70057Pinsky, M. A.; Zevin, A. A. 7 1999 Sharp estimates for the amplitudes of periodic solutions to Lipschitz differential equations. Zbl 1288.34041Zevin, A. A. 6 2008 Minimal periods of periodic solutions of some Lipschitzian differential equations. Zbl 1171.34343Zevin, A. A.; Pinsky, M. A. 5 2009 Qualitative investigation of oscillations of a pendulum with periodically changing length and a mathematical swing model. Zbl 1164.70025Zevin, A. A.; Filonenko, L. A. 5 2007 Sharp estimates for the periods and amplitudes of periodic solutions to differential equations with delay. Zbl 1280.34070Zevin, A. A. 5 2007 Delay-independent stability conditions for time-varying nonlinear uncertain systems. Zbl 1366.93454Zevin, Alexandr A.; Pinsky, Mark A. 5 2006 Minimal periods of solutions of Lipschitzian differential equations in a vector space with an arbitrary norm. Zbl 1268.34082Zevin, A. A. 4 2012 Monotonicity criteria for an energy-period function in planar Hamiltonian systems. Zbl 1001.37054Zevin, A. A.; Pinsky, M. A. 4 2001 Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization. Zbl 1109.70308Zevin, Alexandr A.; Pinsky, Mark A. 4 2000 The necessary and sufficient conditions for the stability of linear systems with an arbitrary delay. Zbl 1272.34073Zevin, A. A. 3 2010 General solution of stability problem for plane linear switched systems and differential inclusions. Zbl 1367.34078Zevin, A. A.; Pinsky, Mark A. 3 2008 Criteria for the exponential stability of nonlinear integral and differential equations with delay. Zbl 1138.93044Zevin, A. A. 3 2006 Optimal exponential feedback stabilization of planar systems. Zbl 1233.93078Zevin, A. A.; Pinsky, M. A. 2 2011 Bounds for periodic solutions of vector second-order nonlinear differential equations. Zbl 1121.34049Zevin, A. A.; Pinsky, M. A. 2 2007 Solution to the generalized Lur’e problem for two classes of control systems. Zbl 1082.93051Zevin, A. A. 2 2005 Absolute stability criteria for a generalized Lur’e problem with delay in the feedback. Zbl 1078.93057Zevin, A. A.; Pinsky, M. A. 2 2005 Analysis of stability and instability regions in parametrically excited Hamiltonian systems. Zbl 0878.58032Zevin, A. A. 2 1997 Generalization of the Rayleigh theorem to nonlinear and parametrically excited systems. Zbl 1064.70513Zevin, A. A. 2 1994 A theory of linear non-conservative systems. Zbl 0696.70011Zevin, A. A. 2 1988 Some conditions for the existence and stability of periodic oscillations in non-linear non-autonomous Hamiltonian systems. Zbl 0585.70021Zevin, A. A. 2 1984 Stability of periodic oscillations in systems with mild and strict nonlinearity. Zbl 0464.70023Zevin, A. A. 2 1980 The theory of parametric oscillations. Zbl 1327.34061Zevin, A. A. 1 2014 Two-sided bounds for the largest Lyapunov exponent and exponential stability criteria for nonlinear systems with arbitrary delays. Zbl 1307.34089Zevin, A. A.; Poslavskii, S. Yu. 1 2012 Sharp bounds for Lyapunov exponents and stability conditions for uncertain systems with delays. Zbl 1368.93617Zevin, Alexandr A.; Pinsky, Mark A. 1 2010 Sharp bounds for periodic solutions of Lipschitzian differential equations. Zbl 1178.34084Zevin, A. A. 1 2009 Existence and stability of families of periodic solutions in superlinear and sublinear Hamiltonian systems. Zbl 1129.37342Zevin, A. A. 1 2005 New approach to stability theory of linear canonical systems of differential equations with periodic coefficients. Zbl 1150.70365Zevin, A. A. 1 2004 The generalized index of a linear canonical system with periodic coefficients. Zbl 1197.34054Zevin, A. A. 1 2002 Global continuation of Lyapunov centre orbits in Hamiltonian systems. Zbl 0956.37015Zevin, A. A. 1 1999 Stability regions of linear canonical systems with periodic coefficients. Zbl 1050.70525Zevin, A. A. 1 1998 On the prescribed-period problem for autonomous Hamiltonian systems. Zbl 0891.58014Zevin, A. A. 1 1998 Localization of periodic oscillations in discrete non-linear systems. Zbl 1232.70035Zevin, A. A. 1 1996 Nonlocal criteria for the existence and stability of periodic oscillations in autonomous Hamiltonian systems. Zbl 0618.70012Zevin, A. A. 1 1986 Bounds of periodic solutions of systems of nonlinear second-order differential equations. Zbl 0585.34011Zevin, A. A. 1 1985 Optimal control of periodic processes. Zbl 0481.49006Zevin, A. A. 1 1980 Über Funktionen gebrochener Exponentialoperatoren in der Theorie der hereditären Elastizität. Zbl 0269.73038Zevin, A. A. 1 1969 The theory of parametric oscillations. Zbl 1327.34061Zevin, A. A. 1 2014 Minimal periods of solutions of Lipschitzian differential equations in a vector space with an arbitrary norm. Zbl 1268.34082Zevin, A. A. 4 2012 Two-sided bounds for the largest Lyapunov exponent and exponential stability criteria for nonlinear systems with arbitrary delays. Zbl 1307.34089Zevin, A. A.; Poslavskii, S. Yu. 1 2012 Optimal exponential feedback stabilization of planar systems. Zbl 1233.93078Zevin, A. A.; Pinsky, M. A. 2 2011 The necessary and sufficient conditions for the stability of linear systems with an arbitrary delay. Zbl 1272.34073Zevin, A. A. 3 2010 Sharp bounds for Lyapunov exponents and stability conditions for uncertain systems with delays. Zbl 1368.93617Zevin, Alexandr A.; Pinsky, Mark A. 1 2010 Minimal periods of periodic solutions of some Lipschitzian differential equations. Zbl 1171.34343Zevin, A. A.; Pinsky, M. A. 5 2009 Sharp bounds for periodic solutions of Lipschitzian differential equations. Zbl 1178.34084Zevin, A. A. 1 2009 Sharp estimates for the amplitudes of periodic solutions to Lipschitz differential equations. Zbl 1288.34041Zevin, A. A. 6 2008 General solution of stability problem for plane linear switched systems and differential inclusions. Zbl 1367.34078Zevin, A. A.; Pinsky, Mark A. 3 2008 Qualitative investigation of oscillations of a pendulum with periodically changing length and a mathematical swing model. Zbl 1164.70025Zevin, A. A.; Filonenko, L. A. 5 2007 Sharp estimates for the periods and amplitudes of periodic solutions to differential equations with delay. Zbl 1280.34070Zevin, A. A. 5 2007 Bounds for periodic solutions of vector second-order nonlinear differential equations. Zbl 1121.34049Zevin, A. A.; Pinsky, M. A. 2 2007 Delay-independent stability conditions for time-varying nonlinear uncertain systems. Zbl 1366.93454Zevin, Alexandr A.; Pinsky, Mark A. 5 2006 Criteria for the exponential stability of nonlinear integral and differential equations with delay. Zbl 1138.93044Zevin, A. A. 3 2006 Solution to the generalized Lur’e problem for two classes of control systems. Zbl 1082.93051Zevin, A. A. 2 2005 Absolute stability criteria for a generalized Lur’e problem with delay in the feedback. Zbl 1078.93057Zevin, A. A.; Pinsky, M. A. 2 2005 Existence and stability of families of periodic solutions in superlinear and sublinear Hamiltonian systems. Zbl 1129.37342Zevin, A. A. 1 2005 New approach to stability theory of linear canonical systems of differential equations with periodic coefficients. Zbl 1150.70365Zevin, A. A. 1 2004 Exponential stability and solution bounds for systems with bounded nonlinearities. Zbl 1364.93610Zevin, Alexandr; Pinsky, Mark 13 2003 The generalized index of a linear canonical system with periodic coefficients. Zbl 1197.34054Zevin, A. A. 1 2002 Monotonicity criteria for an energy-period function in planar Hamiltonian systems. Zbl 1001.37054Zevin, A. A.; Pinsky, M. A. 4 2001 Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization. Zbl 1109.70308Zevin, Alexandr A.; Pinsky, Mark A. 4 2000 Oscillations of a pendulum with a periodically varying length and a model of swing. Zbl 1342.70057Pinsky, M. A.; Zevin, A. A. 7 1999 Global continuation of Lyapunov centre orbits in Hamiltonian systems. Zbl 0956.37015Zevin, A. A. 1 1999 Stability regions of linear canonical systems with periodic coefficients. Zbl 1050.70525Zevin, A. A. 1 1998 On the prescribed-period problem for autonomous Hamiltonian systems. Zbl 0891.58014Zevin, A. A. 1 1998 Analysis of stability and instability regions in parametrically excited Hamiltonian systems. Zbl 0878.58032Zevin, A. A. 2 1997 Normal modes and localization in nonlinear systems. Zbl 0917.93001Vakakis, 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 1232.70035Zevin, A. A. 1 1996 Generalization of the Rayleigh theorem to nonlinear and parametrically excited systems. Zbl 1064.70513Zevin, A. A. 2 1994 A theory of linear non-conservative systems. Zbl 0696.70011Zevin, A. A. 2 1988 Nonlocal criteria for the existence and stability of periodic oscillations in autonomous Hamiltonian systems. Zbl 0618.70012Zevin, A. A. 1 1986 Bounds of periodic solutions of systems of nonlinear second-order differential equations. Zbl 0585.34011Zevin, A. A. 1 1985 Some conditions for the existence and stability of periodic oscillations in non-linear non-autonomous Hamiltonian systems. Zbl 0585.70021Zevin, A. A. 2 1984 Stability of periodic oscillations in systems with mild and strict nonlinearity. Zbl 0464.70023Zevin, A. A. 2 1980 Optimal control of periodic processes. Zbl 0481.49006Zevin, A. A. 1 1980 Über Funktionen gebrochener Exponentialoperatoren in der Theorie der hereditären Elastizität. Zbl 0269.73038Zevin, A. A. 1 1969 all cited Publications top 5 cited Publications 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 all top 5 Cited in 20 Fields 68 Ordinary differential equations (34-XX) 67 Mechanics of particles and systems (70-XX) 31 Mechanics of deformable solids (74-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Systems theory; control (93-XX) 4 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year