Sergey Bolotin

1.0k total citations
66 papers, 605 citations indexed

About

Sergey Bolotin is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Sergey Bolotin has authored 66 papers receiving a total of 605 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Statistical and Nonlinear Physics, 21 papers in Mathematical Physics and 19 papers in Geometry and Topology. Recurrent topics in Sergey Bolotin's work include Quantum chaos and dynamical systems (42 papers), Mathematical Dynamics and Fractals (19 papers) and Advanced Differential Equations and Dynamical Systems (14 papers). Sergey Bolotin is often cited by papers focused on Quantum chaos and dynamical systems (42 papers), Mathematical Dynamics and Fractals (19 papers) and Advanced Differential Equations and Dynamical Systems (14 papers). Sergey Bolotin collaborates with scholars based in Russia, United States and Italy. Sergey Bolotin's co-authors include Robert S. MacKay, Dmitrii Valer'evich Treschev, Valery Vasil'evich Kozlov, Paul H. Rabinowitz, P. Negrini, Dmitry Treschev, Maria Letizia Bertotti, Tatiana Popova, Amadeu Delshams and Ivan A. Bizyaev and has published in prestigious journals such as Archive for Rational Mechanics and Analysis, Journal of Differential Equations and Chaos An Interdisciplinary Journal of Nonlinear Science.

In The Last Decade

Sergey Bolotin

62 papers receiving 544 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Sergey Bolotin Russia 14 414 221 185 103 94 66 605
Robert W. Easton United States 16 396 1.0× 287 1.3× 186 1.0× 82 0.8× 182 1.9× 37 831
V. A. Kaloshin Russia 14 286 0.7× 228 1.0× 185 1.0× 40 0.4× 98 1.0× 102 585
Dmitry Treschev Russia 14 367 0.9× 172 0.8× 109 0.6× 42 0.4× 52 0.6× 49 530
Валерий Васильевич Козлов Russia 14 341 0.8× 134 0.6× 97 0.5× 101 1.0× 50 0.5× 104 667
Àlex Haro Spain 13 528 1.3× 204 0.9× 90 0.5× 27 0.3× 78 0.8× 37 669
Дмитрий Валерьевич Трещeв Russia 10 341 0.8× 176 0.8× 133 0.7× 57 0.6× 24 0.3× 27 503
André Vanderbauwhede Belgium 14 394 1.0× 131 0.6× 205 1.1× 97 0.9× 227 2.4× 46 880
Jürgen Scheurle Germany 10 359 0.9× 145 0.7× 106 0.6× 63 0.6× 34 0.4× 30 554
J. D. Mireles James United States 14 373 0.9× 75 0.3× 121 0.7× 39 0.4× 46 0.5× 46 528
Pierre Lochak France 13 454 1.1× 272 1.2× 281 1.5× 41 0.4× 36 0.4× 36 745

Countries citing papers authored by Sergey Bolotin

Since Specialization
Citations

This map shows the geographic impact of Sergey Bolotin's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Sergey Bolotin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sergey Bolotin more than expected).

Fields of papers citing papers by Sergey Bolotin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sergey Bolotin. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Sergey Bolotin. The network helps show where Sergey Bolotin may publish in the future.

Co-authorship network of co-authors of Sergey Bolotin

This figure shows the co-authorship network connecting the top 25 collaborators of Sergey Bolotin. A scholar is included among the top collaborators of Sergey Bolotin based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Sergey Bolotin. Sergey Bolotin is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bolotin, Sergey. (2019). Jumps of Energy Near a Homoclinic Set of a Slowly Time Dependent Hamiltonian System. Regular and Chaotic Dynamics. 24(6). 682–703. 5 indexed citations
2.
Bolotin, Sergey. (2018). Jumps of energy near a separatrix in slow-fast Hamiltonian systems. Russian Mathematical Surveys. 73(4). 725–727. 3 indexed citations
3.
Bolotin, Sergey & Valery Vasil'evich Kozlov. (2017). Топология, сингулярности и интегрируемость в гамильтоновых системах с двумя степенями свободы. Известия Российской академии наук Серия математическая. 81(4). 3–19. 3 indexed citations
4.
Bolotin, Sergey & P. Negrini. (2013). Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system. Regular and Chaotic Dynamics. 18(6). 774–800. 11 indexed citations
5.
Bolotin, Sergey. (2012). The problem of optimal control of a Chaplygin ball by internal rotors. Nelineinaya Dinamika. 837–852. 6 indexed citations
6.
Bolotin, Sergey & Dmitrii Valer'evich Treschev. (2010). Hill's formula. Russian Mathematical Surveys. 65(2). 191–257. 13 indexed citations
7.
Bolotin, Sergey. (2006). Symbolic dynamics of almost collision orbits and skew products of symplectic maps. Nonlinearity. 19(9). 2041–2063. 20 indexed citations
8.
9.
Bolotin, Sergey & Robert S. MacKay. (2003). ISOCHRONOUS POTENTIALS. 217–224. 18 indexed citations
10.
Bolotin, Sergey. (2001). Symbolic dynamics near minimal hyperbolic invariant tori of Lagrangian systems. Nonlinearity. 14(5). 1123–1140. 6 indexed citations
11.
Bolotin, Sergey & Robert S. MacKay. (2000). Periodic and Chaotic Trajectories of the Second Species for the n-Centre Problem. Celestial Mechanics and Dynamical Astronomy. 77(1). 49–75. 30 indexed citations
12.
Bolotin, Sergey & Dmitrii Valer'evich Treschev. (1999). Unbounded growth of energy in nonautonomous Hamiltonian systems. Nonlinearity. 12(2). 365–388. 49 indexed citations
13.
Bolotin, Sergey & Paul H. Rabinowitz. (1998). A variational construction of chaotic trajectories for a Hamiltonian system on a torus. Bollettino Della Unione Matematica Italiana. 541–570. 13 indexed citations
14.
Bolotin, Sergey & Paul H. Rabinowitz. (1998). A Variational Construction of Chaotic Trajectories for a Reversible Hamiltonian System. Journal of Differential Equations. 148(2). 364–387. 30 indexed citations
15.
Bertotti, Maria Letizia & Sergey Bolotin. (1998). Doubly asymptotic trajectories of Lagrangian systems in homogeneous force fields. Annali di Matematica Pura ed Applicata (1923 -). 174(1). 253–275. 5 indexed citations
16.
Bertotti, Maria Letizia & Sergey Bolotin. (1997). Doubly asymptotic trajectories of Lagrangian systems and a problem by Kirchhoff. View. 8(2). 93–100. 1 indexed citations
17.
Bolotin, Sergey. (1997). Homoclinic trajectories of invariant sets of Hamiltonian systems. Nonlinear Differential Equations and Applications NoDEA. 4(3). 359–389. 6 indexed citations
18.
Bolotin, Sergey. (1987). Periodic solutions of systems with gyroscopic forces. Journal of Applied Mathematics and Mechanics. 51(4). 535–537. 2 indexed citations
19.
Bolotin, Sergey. (1984). The effect of singularities of the potential energy on the integrability of mechanical systems. Journal of Applied Mathematics and Mechanics. 48(3). 255–260. 10 indexed citations
20.
Bolotin, Sergey & В. В. Козлов. (1980). Asymptotic solutions of dynamics equations. 84–89. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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