А. М. Самойленко

3.3k total citations · 1 hit paper
82 papers, 2.4k citations indexed

About

А. М. Самойленко is a scholar working on Numerical Analysis, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, А. М. Самойленко has authored 82 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Numerical Analysis, 40 papers in Applied Mathematics and 20 papers in Mathematical Physics. Recurrent topics in А. М. Самойленко's work include Differential Equations and Numerical Methods (34 papers), Differential Equations and Boundary Problems (31 papers) and Nonlinear Differential Equations Analysis (13 papers). А. М. Самойленко is often cited by papers focused on Differential Equations and Numerical Methods (34 papers), Differential Equations and Boundary Problems (31 papers) and Nonlinear Differential Equations Analysis (13 papers). А. М. Самойленко collaborates with scholars based in Ukraine, Czechia and United States. А. М. Самойленко's co-authors include N. A. Perestyuk, А. А. Бойчук, Miklos Rontó, Н. В. Скрипник, Sergei Trofımchuk, Valentyn Sobchuk, András Rontó, С. М. Чуйко, Lutz Recke and Д. Д. Байнов and has published in prestigious journals such as Russian Mathematical Surveys, Journal of Dynamics and Differential Equations and Acta Mathematica Academiae Scientiarum Hungaricae.

In The Last Decade

А. М. Самойленко

70 papers receiving 2.2k citations

Hit Papers

align trajectories

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.

Impulsive Differential Equations

1995 1.5k citations А. М. Самойленко, N. A. Perestyuk profile →

Peers

А. М. Самойленко

CSE

CTM

N. A. Perestyuk Ukraine

G.S. Ladde United States

C. Corduneanu United States

T. A. Burton United States

Toka Diagana United States

Josef Diblı́k Czechia

Manuel Pinto Chile

István Győri Hungary

Paul W. Eloe United States

Cemil Tunç Türkiye

N. A. Perestyuk Ukraine

А. М. Самойленко

1.5k ×0.8

720 ×0.7

764 ×1.0

CSE

494 ×0.9

219 ×0.8

CTM

Citations per year, relative to А. М. Самойленко А. М. Самойленко (= 1×) peers N. A. Perestyuk

Countries citing papers authored by А. М. Самойленко

Since Specialization

Citations

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

Fields of papers citing papers by А. М. Самойленко

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by А. М. Самойленко. 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 А. М. Самойленко. The network helps show where А. М. Самойленко may publish in the future.

Co-authorship network of co-authors of А. М. Самойленко

This figure shows the co-authorship network connecting the top 25 collaborators of А. М. Самойленко. A scholar is included among the top collaborators of А. М. Самойленко 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 А. М. Самойленко. А. М. Самойленко is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Самойленко, А. М., et al.. (2021). Asymptotic Integration of Singularly Perturbed Differential Algebraic Equations with Turning Points. Part I. Ukrainian Mathematical Journal. 72(12). 1928–1943. 4 indexed citations

Самойленко, А. М.. (2019). Order and Canonical Product of the Weierstrass R-Integral. Ukrainian Mathematical Journal.

Самойленко, А. М., et al.. (2012). Lipschitz invariant tori of indefinite-monotone systems. Ukrainian Mathematical Journal. 64(3). 408–432. 1 indexed citations

Perestyuk, N. A., et al.. (2011). Differential Equations with Impulse Effects. 109 indexed citations

Самойленко, А. М., et al.. (2009). On the asymptotic integration of a linear system of differential equations with a small parameter in the coefficients of some derivatives. Nonlinear oscillations. 12(2). 213–243. 3 indexed citations

Самойленко, А. М., et al.. (2007). On solutions of linear functional differential equations with linearly transformed argument on a semiaxis. Ukrainian Mathematical Journal. 59(4). 563–576. 1 indexed citations

Самойленко, А. М., et al.. (2005). On Invariant Tori for a Stochastic Ito System. Journal of Dynamics and Differential Equations. 17(4). 737–758. 2 indexed citations

Самойленко, А. М., et al.. (2003). Lyapunov–Schmidt Approach to Studying Homoclinic Splitting in Weakly Perturbed Lagrangian and Hamiltonian Systems. Ukrainian Mathematical Journal. 55(1). 82–92. 5 indexed citations

Самойленко, А. М., et al.. (2003). On the Existence of a Smooth Bounded Semiinvariant Manifold for a Degenerate Nonlinear System of Difference Equations in the Space m. Nonlinear oscillations. 6(3). 371–392. 2 indexed citations

10.

Самойленко, А. М., et al.. (1999). Теория численно-аналитического метода: Достижения и новые направления развития. VII. Ukrainian Mathematical Journal. 51(9). 1244–1261. 3 indexed citations

11.

Rontó, Miklos, А. М. Самойленко, & Sergei Trofımchuk. (1999). The theory of the numerical-analytic method: Achievements and new trends of development. V. Ukrainian Mathematical Journal. 51(5). 735–747. 3 indexed citations

12.

Самойленко, А. М. & N. A. Perestyuk. (1995). Impulsive Differential Equations. 193 indexed citations

13.

Самойленко, А. М.. (1994). On some problems in perturbation theory of smooth invariant tori of dynamical systems. Ukrainian Mathematical Journal. 46(12). 1848–1889. 8 indexed citations

14.

Самойленко, А. М., et al.. (1994). Solutions of systems of nonlinear functional-differential equations bounded in the entire real axis and their properties. Ukrainian Mathematical Journal. 46(6). 799–811. 22 indexed citations

15.

Самойленко, А. М., et al.. (1992). The question of the existence of Lyapunov functions with alternating signs for linear systems of differential equations. Ukrainian Mathematical Journal. 44(1). 90–95.

16.

Самойленко, А. М., et al.. (1991). Justification of a numerical-analytic method of successive approximations for problems with integral boundary conditions. Ukrainian Mathematical Journal. 43(9). 1150–1157. 16 indexed citations

17.

Самойленко, А. М.. (1981). Separatrice manifolds and decomposability of a linear extension of a dynamical system on the torus. Ukrainian Mathematical Journal. 33(1). 23–29. 1 indexed citations

18.

Самойленко, А. М.. (1980). Green's function of a linear extension of a dynamic system on a torus, its conditions of uniqueness and the properties following from them. Ukrainian Mathematical Journal. 32(6). 537–542. 3 indexed citations

19.

Самойленко, А. М., et al.. (1977). On the application of the averaging method for systems of integro-differential equations of standard type with discontinuous right-hand side. Acta Mathematica Academiae Scientiarum Hungaricae. 29(1-2). 31–48. 3 indexed citations

20.

Самойленко, А. М.. (1962). Об одном случае непрерывной зависимости решений дифференциальных уравнений от параметра. Ukrainian Mathematical Journal. 14(3). 289–298. 7 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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