L. M. Lerman

792 total citations
64 papers, 518 citations indexed

About

L. M. Lerman is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, L. M. Lerman has authored 64 papers receiving a total of 518 indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Statistical and Nonlinear Physics, 31 papers in Geometry and Topology and 27 papers in Mathematical Physics. Recurrent topics in L. M. Lerman's work include Quantum chaos and dynamical systems (41 papers), Advanced Differential Equations and Dynamical Systems (23 papers) and Mathematical Dynamics and Fractals (18 papers). L. M. Lerman is often cited by papers focused on Quantum chaos and dynamical systems (41 papers), Advanced Differential Equations and Dynamical Systems (23 papers) and Mathematical Dynamics and Fractals (18 papers). L. M. Lerman collaborates with scholars based in Russia, United Kingdom and United States. L. M. Lerman's co-authors include Vassili Gelfreich, Dmitry Turaev, L. P. Shilnikov, N. E. Kulagin, G. L. Alfimov, Andrey Shilnikov, С. В. Гонченко, Valentin Afraimovich, V. P. Silin and Amadeu Delshams and has published in prestigious journals such as Physica D Nonlinear Phenomena, Journal of Statistical Physics and Computers & Mathematics with Applications.

In The Last Decade

L. M. Lerman

54 papers receiving 447 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
L. M. Lerman Russia 15 389 167 158 143 59 64 518
Vassili Gelfreich United Kingdom 17 650 1.7× 233 1.4× 155 1.0× 255 1.8× 91 1.5× 38 719
Didier Smets France 19 318 0.8× 98 0.6× 94 0.6× 502 3.5× 90 1.5× 50 1.2k
Valter Franceschini Italy 13 433 1.1× 41 0.2× 307 1.9× 64 0.4× 73 1.2× 22 614
Vadim Zharnitsky United States 14 366 0.9× 53 0.3× 48 0.3× 210 1.5× 205 3.5× 48 580
Robert H. G. Helleman United States 9 258 0.7× 34 0.2× 79 0.5× 44 0.3× 102 1.7× 19 353
Partha Guha India 14 666 1.7× 307 1.8× 33 0.2× 109 0.8× 153 2.6× 146 838
W. M. Shtelen Russia 8 413 1.1× 80 0.5× 24 0.2× 58 0.4× 64 1.1× 14 520
Floyd L. Williams United States 10 255 0.7× 180 1.1× 54 0.3× 125 0.9× 158 2.7× 60 596
N. N. Nekhoroshev Russia 9 579 1.5× 103 0.6× 87 0.6× 147 1.0× 117 2.0× 24 697
Dmitrii Valer'evich Treschev Russia 10 265 0.7× 63 0.4× 45 0.3× 124 0.9× 30 0.5× 28 329

Countries citing papers authored by L. M. Lerman

Since Specialization
Citations

This map shows the geographic impact of L. M. Lerman'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 L. M. Lerman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites L. M. Lerman more than expected).

Fields of papers citing papers by L. M. Lerman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by L. M. Lerman. 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 L. M. Lerman. The network helps show where L. M. Lerman may publish in the future.

Co-authorship network of co-authors of L. M. Lerman

This figure shows the co-authorship network connecting the top 25 collaborators of L. M. Lerman. A scholar is included among the top collaborators of L. M. Lerman 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 L. M. Lerman. L. M. Lerman 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.
Kulagin, N. E., et al.. (2024). Twin Heteroclinic Connections of Reversible Systems. Regular and Chaotic Dynamics. 29(1). 40–64.
2.
Lerman, L. M., et al.. (2023). Symplectic partially hyperbolic automorphisms of 6-torus. Journal of Geometry and Physics. 195. 105038–105038.
3.
Гринес, В. З. & L. M. Lerman. (2022). Неавтономные векторные поля на сфере $S^3$: простая динамика и дикое вложение сепаратрис. Теоретическая и математическая физика. 212(1). 15–32. 1 indexed citations
4.
Гринес, В. З. & L. M. Lerman. (2022). Nonautonomous dynamics: classification, invariants, and implementation. 68(4). 596–620. 3 indexed citations
5.
Галкина, Е. Г., C. E. Zaspel, B. A. Ivanov, N. E. Kulagin, & L. M. Lerman. (2019). Limiting Velocity and Dispersion Law of Domain Walls in Ferrimagnets Close to the Spin Compensation Point. Journal of Experimental and Theoretical Physics Letters. 110(7). 481–486. 11 indexed citations
6.
Lerman, L. M., et al.. (2018). On interrelations between divergence-free and Hamiltonian dynamics. Journal of Geometry and Physics. 135. 70–79. 3 indexed citations
7.
Lerman, L. M., et al.. (2016). Geometry of slow–fast Hamiltonian systems and Painlevé equations. Indagationes Mathematicae. 27(5). 1219–1244. 3 indexed citations
8.
Lerman, L. M., et al.. (2014). Symmetric Homoclinic Orbits at the Periodic Hamiltonian Hopf Bifurcation. International Journal of Bifurcation and Chaos. 24(8). 1440006–1440006. 1 indexed citations
9.
Afraimovich, Valentin, С. В. Гонченко, L. M. Lerman, Andrey Shilnikov, & Dmitry Turaev. (2014). Scientific heritage of L.P. Shilnikov. Regular and Chaotic Dynamics. 19(4). 435–460. 29 indexed citations
10.
Lerman, L. M. & Dmitry Turaev. (2012). Breakdown of symmetry in reversible systems. Regular and Chaotic Dynamics. 17(3-4). 318–336. 22 indexed citations
11.
Lerman, L. M., et al.. (2009). On the dynamics of the piecewise-linear model of the Swift–Hohenberg equation. Nelineinaya Dinamika. 569–583.
12.
Lerman, L. M., et al.. (2009). On stability at the Hamiltonian Hopf Bifurcation. Regular and Chaotic Dynamics. 14(1). 148–162. 15 indexed citations
13.
Lerman, L. M. & Vassili Gelfreich. (2005). Slow-fast hamiltonian dynamics near a ghost separatix loop. Journal of Mathematical Sciences. 126(5). 1445–1466. 1 indexed citations
14.
Gelfreich, Vassili & L. M. Lerman. (2003). Long-periodic orbits and invariant tori in a singularly perturbed Hamiltonian system. Physica D Nonlinear Phenomena. 176(3-4). 125–146. 13 indexed citations
15.
Lerman, L. M., et al.. (2000). Methods of Qualitative Theory of Differential Equations and Related Topics. 16 indexed citations
16.
Lerman, L. M., et al.. (1998). Four-Dimensional Integrable Hamiltonian Systems with Simple Singular Points (Topological Aspects). Translations of mathematical monographs. 23 indexed citations
17.
Lerman, L. M., et al.. (1997). Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation. Computers & Mathematics with Applications. 34(2-4). 253–266. 14 indexed citations
18.
Lerman, L. M., et al.. (1996). FAMILIES OF TRANSVERSE POINCARÉ HOMOCLINIC ORBITS IN 2N-DIMENSIONAL HAMILTONIAN SYSTEMS CLOSE TO THE SYSTEM WITH A LOOP TO A SADDLE-CENTER. International Journal of Bifurcation and Chaos. 6(6). 991–1006. 13 indexed citations
19.
Lerman, L. M., et al.. (1995). PERIODIC AND HOMOCLINIC ORBITS IN A TWO-PARAMETER UNFOLDING OF A HAMILTONIAN SYSTEM WITH A HOMOCLINIC ORBIT TO A SADDLE-CENTER. International Journal of Bifurcation and Chaos. 5(2). 397–408. 28 indexed citations
20.
Lerman, L. M.. (1989). On the behaviour of a Hamiltonian system in a neighbourhood of the transversal homoclinic orbit of a saddle-focus. Russian Mathematical Surveys. 44(2). 285–286. 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Vassili Gelfreich Breakdown of academic impact, for papers by Didier Smets Breakdown of academic impact, for papers by Valter Franceschini Breakdown of academic impact, for papers by Vadim Zharnitsky Breakdown of academic impact, for papers by Robert H. G. Helleman Breakdown of academic impact, for papers by Partha Guha Breakdown of academic impact, for papers by W. M. Shtelen Breakdown of academic impact, for papers by Floyd L. Williams Breakdown of academic impact, for papers by N. N. Nekhoroshev Breakdown of academic impact, for papers by Dmitrii Valer'evich Treschev
Rankless by CCL
2026