S. L. Ziglin

888 total citations
31 papers, 599 citations indexed

About

S. L. Ziglin is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Aerospace Engineering. According to data from OpenAlex, S. L. Ziglin has authored 31 papers receiving a total of 599 indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Statistical and Nonlinear Physics, 9 papers in Geometry and Topology and 7 papers in Aerospace Engineering. Recurrent topics in S. L. Ziglin's work include Quantum chaos and dynamical systems (11 papers), Advanced Differential Equations and Dynamical Systems (9 papers) and Spacecraft Dynamics and Control (7 papers). S. L. Ziglin is often cited by papers focused on Quantum chaos and dynamical systems (11 papers), Advanced Differential Equations and Dynamical Systems (9 papers) and Spacecraft Dynamics and Control (7 papers). S. L. Ziglin collaborates with scholars based in Russia. S. L. Ziglin's co-authors include M. L. Lidov and has published in prestigious journals such as Communications in Mathematical Physics, Chaos An Interdisciplinary Journal of Nonlinear Science and Russian Mathematical Surveys.

In The Last Decade

S. L. Ziglin

25 papers receiving 528 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
S. L. Ziglin Russia 9 454 232 145 83 79 31 599
Juan J. Morales-Ruiz Spain 13 424 0.9× 259 1.1× 64 0.4× 73 0.9× 70 0.9× 28 519
N. N. Nekhoroshev Russia 9 579 1.3× 103 0.4× 102 0.7× 76 0.9× 86 1.1× 24 697
O. I. Bogoyavlensky Russia 7 381 0.8× 205 0.9× 128 0.9× 109 1.3× 22 0.3× 12 513
G. E. Prince Australia 12 522 1.1× 137 0.6× 178 1.2× 107 1.3× 133 1.7× 50 720
A. I. Bobenko Germany 13 410 0.9× 309 1.3× 43 0.3× 51 0.6× 86 1.1× 31 683
Jordi Villanueva Spain 11 349 0.8× 75 0.3× 105 0.7× 47 0.6× 46 0.6× 24 427
Maria Przybylska Poland 17 478 1.1× 249 1.1× 85 0.6× 57 0.7× 44 0.6× 77 698
Mark E. Fels United States 11 420 0.9× 212 0.9× 104 0.7× 51 0.6× 108 1.4× 17 591
Francesco Fassò Italy 13 260 0.6× 92 0.4× 110 0.8× 43 0.5× 76 1.0× 38 409
L. Mangiarotti Italy 13 316 0.7× 111 0.5× 187 1.3× 189 2.3× 58 0.7× 43 573

Countries citing papers authored by S. L. Ziglin

Since Specialization
Citations

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

Fields of papers citing papers by S. L. Ziglin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of S. L. Ziglin

This figure shows the co-authorship network connecting the top 25 collaborators of S. L. Ziglin. A scholar is included among the top collaborators of S. L. Ziglin 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 S. L. Ziglin. S. L. Ziglin 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
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Ziglin, S. L.. (2005). The integrability by quadratures of variational equations in systems with a complementary first integral. Russian Mathematical Surveys. 60(4). 802–803.
4.
Ziglin, S. L.. (2003). Аналитическое доказательство неинтегрируемости АВС-течения при $A=B=C$. Функциональный анализ и его приложения. 37(3). 77–80. 1 indexed citations
5.
Ziglin, S. L.. (2003). An Analytic Proof of the Nonintegrability of the ABC-flow for A=B=C. Functional Analysis and Its Applications. 37(3). 225–227. 10 indexed citations
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Ziglin, S. L.. (2001). Nonintegrability of a bounded two-body problem on a sphere. Doklady Physics. 46(8). 570–571. 4 indexed citations
8.
Ziglin, S. L.. (2000). Integrals in involution for groups of linear symplectic transformations and natural mechanical systems with homogeneous potential. Functional Analysis and Its Applications. 34(3). 179–187. 8 indexed citations
9.
Ziglin, S. L.. (1998). On the absence of a real-analytic first integral for ABC flow when A=B. Chaos An Interdisciplinary Journal of Nonlinear Science. 8(1). 272–273. 12 indexed citations
10.
Ziglin, S. L.. (1991). Polynomial first integrals of Hamiltonian systems with exponential interaction. Functional Analysis and Its Applications. 25(3). 235–235. 2 indexed citations
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Ziglin, S. L.. (1987). Concerning the paper ?horseshoes in perturbations of Hamiltonian systems with two degrees of freedom? by P. J. Holmes and J. E. Marsden. Communications in Mathematical Physics. 108(3). 527–528. 1 indexed citations
13.
Ziglin, S. L.. (1983). Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II. Functional Analysis and Its Applications. 17(1). 6–17. 141 indexed citations
14.
Ziglin, S. L.. (1982). Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics. I. Functional Analysis and Its Applications. 16(3). 181–189. 261 indexed citations
15.
Ziglin, S. L.. (1981). Self-intersection of the complex separatrices and the nonexistence of the integrals in the hamiltonian systems with one-and-half degrees of freedom. Journal of Applied Mathematics and Mechanics. 45(3). 411–413. 14 indexed citations
16.
Ziglin, S. L.. (1980). Splitting of separatrices, branching of the solution, and nonexistence of the integral in rigid-body dynamics. 41. 287–303. 1 indexed citations
17.
Ziglin, S. L. & M. L. Lidov. (1977). Hill's case of the averaged problem of three bodies and the stability of plane orbits. Journal of Applied Mathematics and Mechanics. 41(2). 225–235. 2 indexed citations
18.
Ziglin, S. L.. (1976). Non-restricted double-averaged three-body problem in the case of uniformly close orbits.. 2. 171–175. 1 indexed citations
19.
Ziglin, S. L.. (1975). Secular evolution of the orbit of a planet in a binary-star system. 1(5). 194–5. 4 indexed citations
20.
Lidov, M. L. & S. L. Ziglin. (1974). The analysis of restricted circular twice-averaged three body problem in the case of close orbits. Celestial Mechanics and Dynamical Astronomy. 9(2). 151–173. 16 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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