Yu. Ilyashenko

2.6k total citations · 1 hit paper
74 papers, 1.4k citations indexed

About

Yu. Ilyashenko is a scholar working on Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Yu. Ilyashenko has authored 74 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Geometry and Topology, 38 papers in Mathematical Physics and 29 papers in Statistical and Nonlinear Physics. Recurrent topics in Yu. Ilyashenko's work include Advanced Differential Equations and Dynamical Systems (37 papers), Mathematical Dynamics and Fractals (33 papers) and Quantum chaos and dynamical systems (25 papers). Yu. Ilyashenko is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (37 papers), Mathematical Dynamics and Fractals (33 papers) and Quantum chaos and dynamical systems (25 papers). Yu. Ilyashenko collaborates with scholars based in Russia, United States and France. Yu. Ilyashenko's co-authors include Sergeî Yakovenko, Anton Gorodetski, Weigu Li, Vladimir I. Arnold, Victor Kleptsyn, D. V. Anosov, В. З. Гринес, В А Кондратьев, S. N. Kruzhkov and O A Oleĭnik and has published in prestigious journals such as Inventiones mathematicae, Bulletin of the American Mathematical Society and Chaos An Interdisciplinary Journal of Nonlinear Science.

In The Last Decade

Yu. Ilyashenko

63 papers receiving 1.3k citations

Hit Papers

Centennial History of Hilbert's 16th Problem 2002 2026 2010 2018 2002 50 100 150 200 250
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Centennial History of Hilbert's 16th Problem
    2002 276 citations Yu. Ilyashenko profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Yu. Ilyashenko Russia 18 1.0k 658 424 244 146 74 1.4k
Dana Schlomiuk Canada 19 873 0.8× 525 0.8× 124 0.3× 107 0.4× 270 1.8× 54 969
Joel W. Robbin United States 16 684 0.7× 423 0.6× 869 2.0× 322 1.3× 305 2.1× 38 1.4k
Anna Cima Spain 17 770 0.7× 536 0.8× 132 0.3× 131 0.5× 63 0.4× 65 893
Armengol Gasull Spain 27 2.4k 2.3× 1.5k 2.3× 282 0.7× 422 1.7× 236 1.6× 198 2.7k
N. G. Lloyd United Kingdom 23 1.3k 1.3× 735 1.1× 250 0.6× 793 3.3× 458 3.1× 40 2.0k
Zbigniew Nitecki United States 15 375 0.4× 441 0.7× 689 1.6× 107 0.4× 120 0.8× 44 999
Valery G. Romanovski Slovenia 21 1.3k 1.2× 979 1.5× 67 0.2× 76 0.3× 254 1.7× 132 1.5k
Sergei Yu. Pilyugin Russia 17 443 0.4× 428 0.7× 678 1.6× 125 0.5× 206 1.4× 54 984
Albert Fathi France 20 607 0.6× 568 0.9× 609 1.4× 449 1.8× 198 1.4× 47 1.3k
Ricardo Mañé Brazil 19 1.2k 1.1× 1.2k 1.9× 2.0k 4.7× 429 1.8× 202 1.4× 29 2.4k

Countries citing papers authored by Yu. Ilyashenko

Since Specialization
Citations

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

Fields of papers citing papers by Yu. Ilyashenko

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Yu. Ilyashenko. 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 Yu. Ilyashenko. The network helps show where Yu. Ilyashenko may publish in the future.

Co-authorship network of co-authors of Yu. Ilyashenko

This figure shows the co-authorship network connecting the top 25 collaborators of Yu. Ilyashenko. A scholar is included among the top collaborators of Yu. Ilyashenko 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 Yu. Ilyashenko. Yu. Ilyashenko 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.
Ilyashenko, Yu.. (2012). Multidimensional bony attractors. Functional Analysis and Its Applications. 46(4). 239–248. 2 indexed citations
2.
Ilyashenko, Yu.. (2011). Thick attractors of boundary preserving diffeomorphisms. Indagationes Mathematicae. 22(3-4). 257–314. 8 indexed citations
3.
Arnold, Vladimir I., Alexey V. Bolsinov, L. Galgani, et al.. (2009). Nikolai Nikolaevich Nekhoroshev (obituary). Russian Mathematical Surveys. 64(3). 561–566. 2 indexed citations
4.
Ilyashenko, Yu., et al.. (2009). Cascades and e-invisibility. arXiv (Cornell University). 1 indexed citations
5.
Ilyashenko, Yu.. (2008). Diffeomorphisms with intermingled attracting basins. Functional Analysis and Its Applications. 42(4). 298–307. 6 indexed citations
6.
Ilyashenko, Yu. & Sergeî Yakovenko. (2007). Finite Cyclicity Of Elementary Polycycles.
7.
Ilyashenko, Yu., et al.. (2004). Remarks on the paper "Covering manifolds for analytic families of leaves of foliations by analytic curves". Topological Methods in Nonlinear Analysis. 23(2). 377–381.
8.
Glutsyuk, Alexey & Yu. Ilyashenko. (2001). An estimate of the number of zeros of abelian integrals for special hamiltonians of arbitrary degree. arXiv (Cornell University). 1 indexed citations
9.
Ilyashenko, Yu., et al.. (1999). Estimate for the entropy dimension of the maximalattractor for $k$-contracting systems in an infinite--dimensional space(статья). Russian Journal of Mathematical Physics. 6(1). 20–26. 3 indexed citations
10.
Ilyashenko, Yu.. (1998). Covering manifolds for analytic families of leaves of foliations by analytic curves. Topological Methods in Nonlinear Analysis. 11(2). 361–361. 11 indexed citations
11.
Ilyashenko, Yu.. (1995). Concerning the Hilbert 16th Problem. 28 indexed citations
12.
Ilyashenko, Yu.. (1991). Finiteness Theorems for Limit Cycles. Translations of mathematical monographs. 73 indexed citations
13.
Ilyashenko, Yu. & Askold Khovanskiĭ. (1990). Galois groups, Stokes operators and a theorem of Ramis. Functional Analysis and Its Applications. 24(4). 286–296. 6 indexed citations
14.
Ilyashenko, Yu., et al.. (1985). Materialization of Poincaré resonances and divergence of normalizing series. Journal of Mathematical Sciences. 31(4). 3053–3092. 6 indexed citations
15.
Ilyashenko, Yu.. (1984). Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Functional Analysis and Its Applications. 18(3). 199–209. 34 indexed citations
16.
Ilyashenko, Yu., et al.. (1983). A polynomial vector field with singular points only of Poincaré type. Functional Analysis and Its Applications. 17(4). 313–315.
17.
Ilyashenko, Yu.. (1979). Divergence of series reducing an analytic differential equation to linear normal form at a singular point. Functional Analysis and Its Applications. 13(3). 227–229. 14 indexed citations
18.
Ilyashenko, Yu.. (1977). Zeros of special Abelian integrals in a real domain. Functional Analysis and Its Applications. 11(4). 309–311. 13 indexed citations
19.
Ilyashenko, Yu.. (1977). Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis' theorem. Functional Analysis and Its Applications. 11(2). 105–113. 4 indexed citations
20.
Ilyashenko, Yu.. (1972). Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem. Functional Analysis and Its Applications. 6(3). 197–202. 19 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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