Edit Profile (opens in new tab) Bolotin, Sergeĭ Vladimirovich Co-Author Distance Author ID: bolotin.sergey-v Published as: Bolotin, S. V.; Bolotin, Sergey; Bolotin, Sergey V.; Bolotin, S.; Bolotin, Sergej V.; Bolotin, Sergej more...less Homepage: http://www.math.wisc.edu/~bolotin/ External Links: Wikidata · Math-Net.Ru Videos: carmin.tv Documents Indexed: 94 Publications since 1978, including 1 Additional arXiv Preprint Co-Authors: 32 Co-Authors with 49 Joint Publications 1,528 Co-Co-Authors all top 5 Co-Authors 44 single-authored 11 Treshchev, Dmitriĭ Valer’evich 9 Rabinowitz, Paul Henry 8 Bertotti, Maria Letizia 8 Kozlov, Valeriĭ Vasil’evich 8 Negrini, Piero 4 MacKay, Robert Sinclair 2 Borisov, Alekseĭ Vladimirovich 2 Mamaev, Ivan Sergeevich 1 Artem’ev, A. V. 1 Bizyaev, Ivan Alekseevich 1 Delshams, Amadeu 1 Dobrokhotov, Sergei Yurievich 1 Faddeev, Lyudvig Dmitrievich 1 Gonchar, Andreĭ Aleksandrovich 1 Karapetyan, Aleksandr Vladilenovich 1 Kashin, Boris Sergeevich 1 Kilin, Aleksandr Aleksandrovich 1 Konovalov, Sergeĭ Petrovich 1 Mishchenko, Evgeniĭ Frolovich 1 Neĭshtadt, Anatoliĭ Iserovich 1 Orlov, Dmitri O. 1 Osipov, Yuriĭ Sergeevich 1 Petrukovich, A. A. 1 Ramírez-Ros, Rafael 1 Sadovnichiĭ, Viktor Antonovich 1 Sergeev, Armen Glebovich 1 Shafarevich, Andreĭ Igorevich 1 Sidorenko, Vladislav V. 1 Tatarinov, Ya. V. 1 Vainchtein, Dmitri L. 1 Vasil’ev, Alekseĭ Alekseevich 1 Zelenyi, Lev M. all top 5 Serials 11 Moscow University Mechanics Bulletin 10 Regular and Chaotic Dynamics 7 Russian Mathematical Surveys 7 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 5 Journal of Applied Mathematics and Mechanics 5 Nonlinearity 4 Russian Journal of Mathematical Physics 4 Discrete and Continuous Dynamical Systems 3 Celestial Mechanics and Dynamical Astronomy 3 Proceedings of the Steklov Institute of Mathematics 2 Mathematical Notes 2 Moscow University Mathematics Bulletin 2 Journal of Differential Equations 2 Ergodic Theory and Dynamical Systems 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 NoDEA. Nonlinear Differential Equations and Applications 2 Izvestiya: Mathematics 1 Archive for Rational Mechanics and Analysis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 Calculus of Variations and Partial Differential Equations 1 Communications on Applied Nonlinear Analysis 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Chaos 1 Analysis in Theory and Applications 1 Journal of Fixed Point Theory and Applications all top 5 Fields 73 Dynamical systems and ergodic theory (37-XX) 64 Mechanics of particles and systems (70-XX) 18 Ordinary differential equations (34-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Differential geometry (53-XX) 4 History and biography (01-XX) 4 Partial differential equations (35-XX) 3 Algebraic geometry (14-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Operator theory (47-XX) 1 Topological groups, Lie groups (22-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 664 times in 411 Documents Cited by ▼ Year ▼ Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050 Bolotin, S.; Treschev, D. 40 1999 Libration motions of natural dynamical systems. Zbl 0403.34053 Bolotin, S. V. 36 1978 Libration in systems with many degrees of freedom. Zbl 0497.70033 Bolotin, S. V.; Kozlov, V. V. 28 1979 Nonintegrability of the n-center problem for \(n>2\). Zbl 0551.70008 Bolotin, S. V. 23 1984 Hill’s formula. Zbl 1369.37085 Bolotin, S. V.; Treshchëv, D. V. 18 2010 Homoclinic orbits to invariant tori of Hamiltonian systems. Zbl 0847.58024 Bolotin, Sergej 18 1995 The existence of homoclinic motions. Zbl 0549.58019 Bolotin, S. V. 18 1983 Symbolic dynamics of almost collision orbits and skew products of symplectic maps. Zbl 1193.70025 Bolotin, Sergey 18 2006 The anti-integrable limit. Zbl 1361.37056 Bolotin, S. V.; Treschev, D. V. 18 2015 Integrable billiards on surfaces of constant curvature. Zbl 0795.58028 Bolotin, S. V. 16 1992 Isochronous potentials. Zbl 1051.70012 Bolotin, S.; MacKay, R. S. 16 2003 Periodic and chaotic trajectories of the second species for the \(n\)-centre problem. Zbl 0979.70009 Bolotin, S. V.; Mackay, R. S. 15 2000 Integrable Birkhoff billiards. Zbl 0727.58025 Bolotin, S. V. 15 1990 Integrable Birkhoff billiards. Zbl 0708.58015 Bolotin, S. V. 14 1990 Multibump orbits near the anti-integrable limit for Lagrangian systems. Zbl 0972.34046 Bolotin, Sergey; MacKay, Robert 14 1997 Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015 Bolotin, S. V.; Treschev, D. V. 14 2000 Regularization and topological entropy for the spatial \(n\)-center problem. Zbl 1007.37007 Bolotin, S. V.; Negrini, P. 14 2001 The problem of optimal control of a Chaplygin ball by internal rotors. Zbl 1264.37015 Bolotin, Sergey 13 2012 Asymptotic solutions of equations of dynamics. Zbl 0457.70022 Bolotin, S. V.; Kozlov, V. V. 12 1980 A variational construction of chaotic trajectories for a reversible Hamiltonian system. Zbl 0990.37046 Bolotin, S. V.; Rabinowitz, P. H. 12 1998 Librations of natural dynamic systems. Zbl 0421.34064 Bolotin, S. V. 11 1978 A note on heteroclinic solutions of mountain pass type for a class of nonlinear elliptic PDE’s. Zbl 1220.35091 Bolotin, Sergey; Rabinowitz, Paul H. 11 2006 Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem. Zbl 1094.70010 Bolotin, S.; MacKay, R. S. 11 2006 Chaotic behavior in the 3-center problem. Zbl 1221.37171 Bolotin, S. V.; Negrini, P. 11 2003 Shadowing chains of collision orbits. Zbl 1093.70005 Bolotin, Sergey 10 2006 On asymptotic solutions of dynamical equations. Zbl 0439.70020 Bolotin, S. V.; Kozlov, V. V. 10 1980 Topological approach to the generalized \(n\)-centre problem. Zbl 1427.70031 Bolotin, S. V.; Kozlov, V. V. 10 2017 On the multiplicity of periodic solutions of mountain pass type for a class of semilinear PDE’s. Zbl 1149.35035 Bolotin, Sergey; Rabinowitz, Paul H. 9 2007 The effect of singularities of the potential energy on the integrability of mechanical systems. Zbl 0587.70017 Bolotin, S. V. 9 1985 First integrals of systems with gyroscopic forces. Zbl 0597.70019 Bolotin, S. V. 9 1984 Calculus of variations in the large, existence of trajectories in a domain with boundary, and Whitney’s inverted pendulum problem. Zbl 1367.37053 Bolotin, Sergey V.; Kozlov, Valery V. 9 2015 Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs. Zbl 1290.35049 Bolotin, Sergey; Rabinowitz, Paul H. 9 2014 Variational approach to second species periodic solutions of Poincaré of the 3 body problem. Zbl 1263.70012 Bolotin, Sergey; Negrini, Piero 8 2013 Asymptotic solutions of Lagrangian systems with gyroscopic forces. Zbl 0839.58024 Bolotin, Sergey; Negrini, Piero 7 1995 Second species periodic orbits of the elliptic 3 body problem. Zbl 1129.70006 Bolotin, Sergey 7 2005 On the motion of a mechanical system inside a rolling ball. Zbl 1303.37020 Bolotin, S. V.; Popova, T. V. 7 2013 Asymptotic trajectories of gyroscopic systems. Zbl 0842.70005 Bolotin, S. V.; Negrini, P. 6 1993 Variational methods of constructing chaotic motions in rigid-body dynamics. Zbl 0788.70004 Bolotin, S. V. 6 1992 Degenerate billiards. Zbl 1376.37080 Bolotin, Sergey V. 6 2016 Doubly asymptotic trajectories and integrability conditions for Hamiltonian systems. Zbl 0712.70031 Bolotin, S. V. 6 1990 A variational criterion for nonintegrability. Zbl 0951.37029 Bolotin, Sergey; Negrini, Piero 6 1997 A variational construction of chaotic trajectories for a Hamiltonian system on a torus. Zbl 0957.70020 Bolotin, S. V.; Rabinowitz, P. H. 6 1998 Doubly asymptotic trajectories of Lagrangian systems in homogeneous force fields. Zbl 0971.70021 Bertotti, M. L.; Bolotin, S. V. 6 1998 Degenerate billiards in celestial mechanics. Zbl 1384.37046 Bolotin, Sergey V. 6 2017 Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system. Zbl 1417.37217 Bolotin, Sergey; Negrini, Piero 6 2013 Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056 Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan 5 2021 The Hill determinant of a periodic orbit. Zbl 0712.70023 Bolotin, S. V. 5 1988 Homoclinic solutions of quasiperiodic Lagrangian systems. Zbl 0827.34037 Bertotti, M. L.; Bolotin, S. V. 5 1995 A variational approach for homoclinics in almost periodic Hamiltonian systems. Zbl 0858.34039 Bertotti, M. L.; Bolotin, S. V. 5 1995 Persistence of homoclinic orbits for billiards and twist maps. Zbl 1055.37061 Bolotin, Sergey; Delshams, Amadeu; Ramírez-Ros, Rafael 5 2004 Nonintegrability of the N-center problem for \(N>2\). Zbl 0653.70016 Bolotin, S. V. 5 1984 Some geometrical conditions for the existence of chaotic geodesics on a torus. Zbl 1021.37037 Bolotin, S. V.; Rabinowitz, P. H. 5 2002 Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom. Zbl 1378.37096 Bolotin, Sergey V.; Kozlov, Valery V. 5 2017 Symbolic dynamics near minimal hyperbolic invariant tori of Lagrangian systems. Zbl 1067.37077 Bolotin, Sergey V. 4 2001 Symmetry fields of geodesic flows. Zbl 0912.58027 Bolotin, Sergey V.; Kozlov, Valery V. 4 1995 Homoclinic orbits of geodesic flows on surfaces. Zbl 0904.58048 Bolotin, Sergej V. 4 1993 Global regularization for the \(n\)-center problem on a manifold. Zbl 1009.37005 Bolotin, Sergey; Negrini, Piero 4 2002 Homoclinic trajectories towards minimal tori of Lagrangian systems. Zbl 0778.58021 Bolotin, S. V. 3 1992 A note on hybrid heteroclinic solutions for a class of semilinear elliptic PDEs. Zbl 1219.35063 Bolotin, Sergey; Rabinowitz, Paul H. 3 2011 First integrals of systems with elastic reflections. Zbl 0673.70016 Bolotin, S. V. 3 1988 Infinite number of homoclinic orbits to hyperbolic invariant tori of Hamiltonian systems. Zbl 1004.70018 Bolotin, S. V. 3 2000 Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system. Zbl 1435.37084 Bolotin, Sergey V. 3 2019 Homoclinic trajectories of invariant sets of Hamiltonian systems. Zbl 0882.58014 Bolotin, Sergey 2 1997 Connecting orbits of Hamiltonian systems. Zbl 0961.37021 Bolotin, S. V. 2 1998 Heteroclinic chains of skew product Hamiltonian systems. Zbl 0972.37045 Bolotin, Sergey V. 2 1999 Jumps of energy near a separatrix in slow-fast Hamiltonian systems. Zbl 1480.37067 Bolotin, S. V. 2 2018 On the influence of the kinetic energy on the stability of equilibria of natural Lagrangian systems. Zbl 0968.70016 Bertotti, Maria Letizia; Bolotin, Sergey V. 2 2000 Shadowing chains of collision orbits for the elliptic 3-body problem. Zbl 1133.70004 Bolotin, Sergey 1 2005 Shadowing homoclinic chains to a symplectic critical manifold. Zbl 1488.37019 Bolotin, Sergey 1 2021 Heteroclinic geodesics for a class of manifolds with symmetry. Zbl 0932.37019 Bolotin, S. V.; Rabinowitz, P. H. 1 1998 Motions doubly asymptotic to invariant tori in the theory of perturbed Hamiltonian systems. Zbl 0749.70010 Bolotin, S. V. 1 1990 Doubly asymptotic trajectories of Lagrangian systems and a problem by Kirchhoff. Zbl 0892.70012 Bertotti, Maria Letizia; Bolotin, Sergey V. 1 1997 Homoclinic trajectories of time dependent Hamiltonian systems. Zbl 0951.37002 Bolotin, Sergey 1 1995 Periodic solutions of systems with gyroscopic forces. Zbl 0672.70007 Bolotin, S. V. 1 1987 Minimal heteroclinic geodesics for the \(n\)-torus. Zbl 1073.37528 Bolotin, S. V.; Rabinowitz, P. H. 1 1999 Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system. Zbl 1476.70069 Bolotin, Sergey V. 1 2020 Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056 Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan 5 2021 Shadowing homoclinic chains to a symplectic critical manifold. Zbl 1488.37019 Bolotin, Sergey 1 2021 Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system. Zbl 1476.70069 Bolotin, Sergey V. 1 2020 Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system. Zbl 1435.37084 Bolotin, Sergey V. 3 2019 Jumps of energy near a separatrix in slow-fast Hamiltonian systems. Zbl 1480.37067 Bolotin, S. V. 2 2018 Topological approach to the generalized \(n\)-centre problem. Zbl 1427.70031 Bolotin, S. V.; Kozlov, V. V. 10 2017 Degenerate billiards in celestial mechanics. Zbl 1384.37046 Bolotin, Sergey V. 6 2017 Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom. Zbl 1378.37096 Bolotin, Sergey V.; Kozlov, Valery V. 5 2017 Degenerate billiards. Zbl 1376.37080 Bolotin, Sergey V. 6 2016 The anti-integrable limit. Zbl 1361.37056 Bolotin, S. V.; Treschev, D. V. 18 2015 Calculus of variations in the large, existence of trajectories in a domain with boundary, and Whitney’s inverted pendulum problem. Zbl 1367.37053 Bolotin, Sergey V.; Kozlov, Valery V. 9 2015 Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs. Zbl 1290.35049 Bolotin, Sergey; Rabinowitz, Paul H. 9 2014 Variational approach to second species periodic solutions of Poincaré of the 3 body problem. Zbl 1263.70012 Bolotin, Sergey; Negrini, Piero 8 2013 On the motion of a mechanical system inside a rolling ball. Zbl 1303.37020 Bolotin, S. V.; Popova, T. V. 7 2013 Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system. Zbl 1417.37217 Bolotin, Sergey; Negrini, Piero 6 2013 The problem of optimal control of a Chaplygin ball by internal rotors. Zbl 1264.37015 Bolotin, Sergey 13 2012 A note on hybrid heteroclinic solutions for a class of semilinear elliptic PDEs. Zbl 1219.35063 Bolotin, Sergey; Rabinowitz, Paul H. 3 2011 Hill’s formula. Zbl 1369.37085 Bolotin, S. V.; Treshchëv, D. V. 18 2010 On the multiplicity of periodic solutions of mountain pass type for a class of semilinear PDE’s. Zbl 1149.35035 Bolotin, Sergey; Rabinowitz, Paul H. 9 2007 Symbolic dynamics of almost collision orbits and skew products of symplectic maps. Zbl 1193.70025 Bolotin, Sergey 18 2006 A note on heteroclinic solutions of mountain pass type for a class of nonlinear elliptic PDE’s. Zbl 1220.35091 Bolotin, Sergey; Rabinowitz, Paul H. 11 2006 Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem. Zbl 1094.70010 Bolotin, S.; MacKay, R. S. 11 2006 Shadowing chains of collision orbits. Zbl 1093.70005 Bolotin, Sergey 10 2006 Second species periodic orbits of the elliptic 3 body problem. Zbl 1129.70006 Bolotin, Sergey 7 2005 Shadowing chains of collision orbits for the elliptic 3-body problem. Zbl 1133.70004 Bolotin, Sergey 1 2005 Persistence of homoclinic orbits for billiards and twist maps. Zbl 1055.37061 Bolotin, Sergey; Delshams, Amadeu; Ramírez-Ros, Rafael 5 2004 Isochronous potentials. Zbl 1051.70012 Bolotin, S.; MacKay, R. S. 16 2003 Chaotic behavior in the 3-center problem. Zbl 1221.37171 Bolotin, S. V.; Negrini, P. 11 2003 Some geometrical conditions for the existence of chaotic geodesics on a torus. Zbl 1021.37037 Bolotin, S. V.; Rabinowitz, P. H. 5 2002 Global regularization for the \(n\)-center problem on a manifold. Zbl 1009.37005 Bolotin, Sergey; Negrini, Piero 4 2002 Regularization and topological entropy for the spatial \(n\)-center problem. Zbl 1007.37007 Bolotin, S. V.; Negrini, P. 14 2001 Symbolic dynamics near minimal hyperbolic invariant tori of Lagrangian systems. Zbl 1067.37077 Bolotin, Sergey V. 4 2001 Periodic and chaotic trajectories of the second species for the \(n\)-centre problem. Zbl 0979.70009 Bolotin, S. V.; Mackay, R. S. 15 2000 Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015 Bolotin, S. V.; Treschev, D. V. 14 2000 Infinite number of homoclinic orbits to hyperbolic invariant tori of Hamiltonian systems. Zbl 1004.70018 Bolotin, S. V. 3 2000 On the influence of the kinetic energy on the stability of equilibria of natural Lagrangian systems. Zbl 0968.70016 Bertotti, Maria Letizia; Bolotin, Sergey V. 2 2000 Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050 Bolotin, S.; Treschev, D. 40 1999 Heteroclinic chains of skew product Hamiltonian systems. Zbl 0972.37045 Bolotin, Sergey V. 2 1999 Minimal heteroclinic geodesics for the \(n\)-torus. Zbl 1073.37528 Bolotin, S. V.; Rabinowitz, P. H. 1 1999 A variational construction of chaotic trajectories for a reversible Hamiltonian system. Zbl 0990.37046 Bolotin, S. V.; Rabinowitz, P. H. 12 1998 A variational construction of chaotic trajectories for a Hamiltonian system on a torus. Zbl 0957.70020 Bolotin, S. V.; Rabinowitz, P. H. 6 1998 Doubly asymptotic trajectories of Lagrangian systems in homogeneous force fields. Zbl 0971.70021 Bertotti, M. L.; Bolotin, S. V. 6 1998 Connecting orbits of Hamiltonian systems. Zbl 0961.37021 Bolotin, S. V. 2 1998 Heteroclinic geodesics for a class of manifolds with symmetry. Zbl 0932.37019 Bolotin, S. V.; Rabinowitz, P. H. 1 1998 Multibump orbits near the anti-integrable limit for Lagrangian systems. Zbl 0972.34046 Bolotin, Sergey; MacKay, Robert 14 1997 A variational criterion for nonintegrability. Zbl 0951.37029 Bolotin, Sergey; Negrini, Piero 6 1997 Homoclinic trajectories of invariant sets of Hamiltonian systems. Zbl 0882.58014 Bolotin, Sergey 2 1997 Doubly asymptotic trajectories of Lagrangian systems and a problem by Kirchhoff. Zbl 0892.70012 Bertotti, Maria Letizia; Bolotin, Sergey V. 1 1997 Homoclinic orbits to invariant tori of Hamiltonian systems. Zbl 0847.58024 Bolotin, Sergej 18 1995 Asymptotic solutions of Lagrangian systems with gyroscopic forces. Zbl 0839.58024 Bolotin, Sergey; Negrini, Piero 7 1995 Homoclinic solutions of quasiperiodic Lagrangian systems. Zbl 0827.34037 Bertotti, M. L.; Bolotin, S. V. 5 1995 A variational approach for homoclinics in almost periodic Hamiltonian systems. Zbl 0858.34039 Bertotti, M. L.; Bolotin, S. V. 5 1995 Symmetry fields of geodesic flows. Zbl 0912.58027 Bolotin, Sergey V.; Kozlov, Valery V. 4 1995 Homoclinic trajectories of time dependent Hamiltonian systems. Zbl 0951.37002 Bolotin, Sergey 1 1995 Asymptotic trajectories of gyroscopic systems. Zbl 0842.70005 Bolotin, S. V.; Negrini, P. 6 1993 Homoclinic orbits of geodesic flows on surfaces. Zbl 0904.58048 Bolotin, Sergej V. 4 1993 Integrable billiards on surfaces of constant curvature. Zbl 0795.58028 Bolotin, S. V. 16 1992 Variational methods of constructing chaotic motions in rigid-body dynamics. Zbl 0788.70004 Bolotin, S. V. 6 1992 Homoclinic trajectories towards minimal tori of Lagrangian systems. Zbl 0778.58021 Bolotin, S. V. 3 1992 Integrable Birkhoff billiards. Zbl 0727.58025 Bolotin, S. V. 15 1990 Integrable Birkhoff billiards. Zbl 0708.58015 Bolotin, S. V. 14 1990 Doubly asymptotic trajectories and integrability conditions for Hamiltonian systems. Zbl 0712.70031 Bolotin, S. V. 6 1990 Motions doubly asymptotic to invariant tori in the theory of perturbed Hamiltonian systems. Zbl 0749.70010 Bolotin, S. V. 1 1990 The Hill determinant of a periodic orbit. Zbl 0712.70023 Bolotin, S. V. 5 1988 First integrals of systems with elastic reflections. Zbl 0673.70016 Bolotin, S. V. 3 1988 Periodic solutions of systems with gyroscopic forces. Zbl 0672.70007 Bolotin, S. V. 1 1987 The effect of singularities of the potential energy on the integrability of mechanical systems. Zbl 0587.70017 Bolotin, S. V. 9 1985 Nonintegrability of the n-center problem for \(n>2\). Zbl 0551.70008 Bolotin, S. V. 23 1984 First integrals of systems with gyroscopic forces. Zbl 0597.70019 Bolotin, S. V. 9 1984 Nonintegrability of the N-center problem for \(N>2\). Zbl 0653.70016 Bolotin, S. V. 5 1984 The existence of homoclinic motions. Zbl 0549.58019 Bolotin, S. V. 18 1983 Asymptotic solutions of equations of dynamics. Zbl 0457.70022 Bolotin, S. V.; Kozlov, V. V. 12 1980 On asymptotic solutions of dynamical equations. Zbl 0439.70020 Bolotin, S. V.; Kozlov, V. V. 10 1980 Libration in systems with many degrees of freedom. Zbl 0497.70033 Bolotin, S. V.; Kozlov, V. V. 28 1979 Libration motions of natural dynamical systems. Zbl 0403.34053 Bolotin, S. V. 36 1978 Librations of natural dynamic systems. Zbl 0421.34064 Bolotin, S. V. 11 1978 all cited Publications top 5 cited Publications all top 5 Cited by 395 Authors 23 Bolotin, Sergeĭ Vladimirovich 19 Kozlov, Valeriĭ Vasil’evich 14 Mamaev, Ivan Sergeevich 13 Rabinowitz, Paul Henry 11 Mironov, Andreĭ Evgen’evich 11 Montecchiari, Piero 11 Polekhin, Ivan Yu. 10 Bialy, Misha 10 Borisov, Alekseĭ Vladimirovich 10 Guardia, Marcel 10 Treshchev, Dmitriĭ Valer’evich 9 de la Llave, Rafael 9 M-Seara, Tere 9 Turaev, Dmitry V. 8 Bizyaev, Ivan Alekseevich 8 Delshams, Amadeu 8 Kaloshin, Vadim Yu. 7 Cheng, Chong-Qing 7 Gidea, Marian 7 Hu, Xijun 7 Zhang, Duanzhi 6 Mikishanina, Evgeniya Arifzhanovna 6 Terracini, Susanna 5 Anikin, Anatolii Yur’evich 5 Féjoz, Jacques 5 Fomenko, Anatoliĭ Timofeevich 5 Kilin, Aleksandr Aleksandrovich 5 Rom-Kedar, Vered 5 Wang, Penghui 4 Bernard, Patrick 4 Bulatovich, R. M. 4 Chen, Yi-Chiuan 4 Coti Zelati, Vittorio 4 Dragović, Vladimir 4 Glutsyuk, Alexey A. 4 Liu, Chungen 4 Negrini, Piero 4 Séré, Eric 4 Serra, Enrico 4 Vedyushkina, Viktoriya Viktorovna 4 Yang, Ran 3 Ambrosetti, Antonio 3 Berti, Massimiliano 3 Bolle, Philippe 3 Boscaggin, Alberto 3 Chen, Qinbo 3 Clarke, Andrew 3 Cui, Xiaojun 3 Dambrosio, Walter 3 Garcia, Manuel V. P. 3 Gelfreich, Vassili 3 Ivanov, Alexey V. 3 Li, Chong 3 Li, Xia 3 Long, Yiming 3 Maciejewski, Andrzej J. 3 MacKay, Robert Sinclair 3 Martín, Pau 3 Meiss, James D. 3 Portaluri, Alessandro 3 Przybylska, Maria 3 Sorrentino, Alfonso 3 Tal, Fábio Armando 3 Vetchanin, Evgeniĭ Vladimirovich 3 Yu, Guowei 3 Zhou, Min 2 Akhtyamov, Azamat Moukhtarovich 2 Alessio, Francesca G. 2 Alves, Marcelo R. R. 2 Anastassiou, Stavros 2 Baldomá, Inmaculada 2 Baranzini, Stefano 2 Barutello, Vivina L. 2 Bertotti, Maria Letizia 2 Bolotin, V. V. 2 Bosetto, Elena 2 Butler, Leo T. 2 Byeon, Jaeyoung 2 Caldiroli, Paolo 2 Canneori, Gian Marco 2 Capinski, Maciej J. 2 Celletti, Alessandra 2 Chen, Chao-Nien 2 Cieliebak, Kai 2 Dahinden, Lucas 2 Davletshin, Maksim Nikolaevich 2 Deng, Yanxia 2 Dobrokhotov, Sergei Yurievich 2 Fan, Zhiping 2 Font, Joaquim 2 Gajić, Borislav 2 Giambò, Roberto 2 Giannoni, Fabio 2 Giralt, Mar 2 Kibkalo, Vladislav Aleksandrovich 2 Knauf, Andreas 2 Kravchinsky, I. A. 2 Lerman, Lev 2 Li, Wenlong 2 Macrì, Marta ...and 295 more Authors all top 5 Cited in 119 Serials 34 Regular and Chaotic Dynamics 25 Journal of Differential Equations 19 Journal of Applied Mathematics and Mechanics 14 Proceedings of the Steklov Institute of Mathematics 12 Archive for Rational Mechanics and Analysis 12 Nonlinearity 11 Advances in Mathematics 10 Communications in Mathematical Physics 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Physica D 9 Celestial Mechanics and Dynamical Astronomy 8 Mathematical Notes 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Calculus of Variations and Partial Differential Equations 7 Theoretical and Mathematical Physics 7 Russian Journal of Mathematical Physics 6 Prikladnaya Matematika i Mekhanika 6 Discrete and Continuous Dynamical Systems 5 Journal of Mathematical Analysis and Applications 5 Journal of Geometry and Physics 5 Ergodic Theory and Dynamical Systems 5 Journal of Nonlinear Science 5 Chaos 4 Communications on Pure and Applied Mathematics 4 Russian Mathematical Surveys 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Duke Mathematical Journal 4 Transactions of the American Mathematical Society 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Mathematical Sciences (New York) 4 NoDEA. Nonlinear Differential Equations and Applications 4 Doklady Mathematics 4 Science China. Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 4 Russian Journal of Nonlinear Dynamics 3 Mathematische Annalen 3 Transactions of the Moscow Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Vestnik St. Petersburg University. Mathematics 3 Sbornik: Mathematics 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Journal of Fixed Point Theory and Applications 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Soviet Applied Mechanics 2 Functional Analysis and its Applications 2 Inventiones Mathematicae 2 Meccanica 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Izvestiya: Mathematics 2 Annales Henri Poincaré 2 Qualitative Theory of Dynamical Systems 2 Dynamical Systems 2 Milan Journal of Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Theoretical and Applied Mechanics 2 Journal of Geometric Mechanics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mechanics of Solids 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Mathematical Methods in the Applied Sciences 1 Moscow University Mechanics Bulletin 1 Physics Reports 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico della Università di Padova 1 Systems & Control Letters 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Annals of Operations Research 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Mathematical Problems in Engineering 1 Journal of Applied Mechanics and Technical Physics 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation ...and 19 more Serials all top 5 Cited in 36 Fields 263 Dynamical systems and ergodic theory (37-XX) 205 Mechanics of particles and systems (70-XX) 91 Ordinary differential equations (34-XX) 38 Differential geometry (53-XX) 33 Partial differential equations (35-XX) 30 Global analysis, analysis on manifolds (58-XX) 11 Operator theory (47-XX) 11 Mechanics of deformable solids (74-XX) 11 Quantum theory (81-XX) 9 Algebraic geometry (14-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Systems theory; control (93-XX) 4 Difference and functional equations (39-XX) 4 Convex and discrete geometry (52-XX) 3 Measure and integration (28-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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