Vladimir I. Arnold
- Statistical and Nonlinear Physics top 0.05%
- Geometry and Topology top 0.02%
- Mathematical Physics top 0.05%
- Applied Mathematics top 0.1%
- Astronomy and Astrophysics top 1%
- Co-authors
- Boris KhesinAlexander VarchenkoS. M. Gusein‐ZadeА. И. НейштадтValery Vasil'evich KozlovFred BrauerRoger CookВ. В. Козлов
- Topics
- Mathematical Dynamics and Fractals (23 papers)Advanced Differential Equations and Dynamical Systems (22 papers)Mathematics and Applications (18 papers)
- Journals
- Annual Review of Fluid MechanicsCommunications on Pure and Applied MathematicsPhysica D Nonlinear Phenomena
- Partner nations
- RussiaFranceUnited States
In The Last Decade
Vladimir I. Arnold
182 papers receiving 11.2k citations
Hit Papers
Peers
Comparison fields: 5 of 151
- Statistical and Nonlinear Physics 5.1k
- Geometry and Topology 4.1k
- Mathematical Physics 3.1k
- Applied Mathematics 2.3k
- Astronomy and Astrophysics 1.7k
Countries citing papers authored by Vladimir I. Arnold
This map shows the geographic impact of Vladimir I. Arnold'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 Vladimir I. Arnold with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vladimir I. Arnold more than expected).
Fields of papers citing papers by Vladimir I. Arnold
This network shows the impact of papers produced by Vladimir I. Arnold. 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 Vladimir I. Arnold. The network helps show where Vladimir I. Arnold may publish in the future.
Co-authorship network of co-authors of Vladimir I. Arnold
This figure shows the co-authorship network connecting the top 25 collaborators of Vladimir I. Arnold. A scholar is included among the top collaborators of Vladimir I. Arnold 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 Vladimir I. Arnold. Vladimir I. Arnold is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | Singularities of functions, wave fronts, caustics and multidimensional integrals | 2 |
| 3 | Relatives of the Quotient of the Complex Projective Plane by the Complex Conjugation | 3 |
| 4 | 2 | |
| 5 | 1 | |
| 6 | 4 | |
| 7 | 3 | |
| 8 | 4 | |
| 9 | 4 | |
| 10 | Mathematical aspects of classical and celestial mechanics (2nd ed.) | 39 |
| 11 | 15 | |
| 12 | 56 | |
| 13 | REVIEWS OF TOPICAL PROBLEMS: Singularities, bifurcations, and catastrophes | 10 |
| 14 | Steady-state magnetic field in a periodic flow | 2 |
| 15 | Stationary magnetic field in a periodic flow | 2 |
| 16 | Magnetic field in a stationary flow with stretching in Riemannian space | 22 |
| 17 | Mathematical methods of classical mechanics /2nd edition/ | 93 |
| 18 | 26 | |
| 19 | 59 | |
| 20 | 30 |
About Vladimir I. Arnold
Vladimir I. Arnold is a scholar working on Theoretical Computer Science, Geometry and Topology and Mathematical Physics, having authored 200 papers that have together received 13.0k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (23 papers), Advanced Differential Equations and Dynamical Systems (22 papers) and Mathematics and Applications (18 papers). The work is most often cited by research in Geometry and Topology (4.1k citations), Statistical and Nonlinear Physics (5.1k citations) and Mathematical Physics (3.1k citations). Vladimir I. Arnold has collaborated with scholars based in Russia, France and United States. Frequent co-authors include Boris Khesin, Alexander Varchenko, S. M. Gusein‐Zade, А. И. Нейштадт, Valery Vasil'evich Kozlov, Fred Brauer, Roger Cook, В. В. Козлов, Ya. B. Zel’dovich and S. F. Shandarin. Their work appears in journals such as Annual Review of Fluid Mechanics, Communications on Pure and Applied Mathematics and Physica D Nonlinear Phenomena.
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.