Konstantin Mischaikow

7.7k total citations
138 papers, 4.9k citations indexed

About

Konstantin Mischaikow is a scholar working on Statistical and Nonlinear Physics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Konstantin Mischaikow has authored 138 papers receiving a total of 4.9k indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Statistical and Nonlinear Physics, 45 papers in Computational Theory and Mathematics and 34 papers in Mathematical Physics. Recurrent topics in Konstantin Mischaikow's work include Quantum chaos and dynamical systems (35 papers), Nonlinear Dynamics and Pattern Formation (31 papers) and Topological and Geometric Data Analysis (30 papers). Konstantin Mischaikow is often cited by papers focused on Quantum chaos and dynamical systems (35 papers), Nonlinear Dynamics and Pattern Formation (31 papers) and Topological and Geometric Data Analysis (30 papers). Konstantin Mischaikow collaborates with scholars based in United States, Japan and Poland. Konstantin Mischaikow's co-authors include Marian Mrożek, V. Hutson, Eugene Zhang, Greg Turk, Vidit Nanda, Miroslav Kramár, William D. Kalies, Marcio Gameiro, Mark Pernarowski and Jack D. Dockery and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and Nature Communications.

In The Last Decade

Konstantin Mischaikow

136 papers receiving 4.5k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Konstantin Mischaikow United States 38 1.5k 1.1k 1.1k 1.0k 765 138 4.9k
Morris W. Hirsch United States 34 982 0.7× 1.2k 1.1× 2.7k 2.6× 2.1k 2.0× 606 0.8× 120 8.5k
José A. Carrillo United Kingdom 48 1.5k 1.0× 966 0.9× 1.4k 1.4× 1.5k 1.5× 425 0.6× 342 9.0k
R. Z. Khas’minskiĭ United States 27 566 0.4× 826 0.8× 660 0.6× 672 0.7× 458 0.6× 85 4.3k
Felipe Cucker Hong Kong 25 1.1k 0.8× 414 0.4× 583 0.5× 706 0.7× 79 0.1× 109 5.2k
Shui-Nee Chow United States 31 878 0.6× 882 0.8× 848 0.8× 1.8k 1.7× 270 0.4× 91 4.9k
John Mallet‐Paret United States 36 1.1k 0.7× 980 0.9× 666 0.6× 1.2k 1.2× 198 0.3× 75 4.6k
Herbert Amann Switzerland 42 3.8k 2.6× 1.1k 1.0× 2.3k 2.1× 424 0.4× 427 0.6× 117 8.1k
Joel Smoller United States 36 1.1k 0.8× 1.2k 1.1× 2.2k 2.1× 919 0.9× 486 0.6× 121 7.3k
Michael G. Crandall United States 47 6.2k 4.2× 1.1k 1.0× 3.0k 2.8× 1.1k 1.1× 459 0.6× 99 14.6k
Peter E. Kloeden Germany 26 754 0.5× 251 0.2× 556 0.5× 946 0.9× 136 0.2× 64 6.0k

Countries citing papers authored by Konstantin Mischaikow

Since Specialization
Citations

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

Fields of papers citing papers by Konstantin Mischaikow

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Konstantin Mischaikow

This figure shows the co-authorship network connecting the top 25 collaborators of Konstantin Mischaikow. A scholar is included among the top collaborators of Konstantin Mischaikow 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 Konstantin Mischaikow. Konstantin Mischaikow 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.
Mischaikow, Konstantin, et al.. (2024). Morse Predecomposition of an Invariant Set. Qualitative Theory of Dynamical Systems. 24(1). 5–5. 1 indexed citations
2.
Cummins, Bree, Francis C. Motta, Anastasia Deckard, et al.. (2022). Experimental guidance for discovering genetic networks through hypothesis reduction on time series. PLoS Computational Biology. 18(10). e1010145–e1010145. 1 indexed citations
3.
Taylor, Dane, Florian Klimm, Heather A. Harrington, et al.. (2014). Complex contagions on noisy geometric networks.. arXiv (Cornell University). 1 indexed citations
4.
Mischaikow, Konstantin, et al.. (2013). Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps. Foundations of Computational Mathematics. 14(1). 151–184. 42 indexed citations
5.
Gameiro, Marcio, Yasuaki Hiraoka, Shunsuke Izumi, et al.. (2012). Topological Measurement of Protein Compressibility via Persistence Diagrams. Kyushu University Institutional Repository (QIR) (Kyushu University). 22 indexed citations
6.
Kramár, Miroslav, et al.. (2010). Topology of force chains in dense granular materials. Bulletin of the American Physical Society. 2010. 1 indexed citations
7.
Gedeon, Tomáš, et al.. (2008). When Activators Repress and Repressors Activate: A Qualitative Analysis of the Shea–Ackers Model. Bulletin of Mathematical Biology. 70(6). 1660–1683. 11 indexed citations
8.
Gedeon, Tomáš, Hiroshi Kokubu, Konstantin Mischaikow, & Hiroe Oka. (2005). The Conley index for fast–slow systems II: Multidimensional slow variable. Journal of Differential Equations. 225(1). 242–307. 4 indexed citations
9.
Gameiro, Marcio, Konstantin Mischaikow, & William D. Kalies. (2004). Topological characterization of spatial-temporal chaos. Physical Review E. 70(3). 35203–35203. 26 indexed citations
10.
Kaczyński, Tomasz, Konstantin Mischaikow, & Marian Mrożek. (2003). Computing homology. Homology Homotopy and Applications. 5(2). 233–256. 10 indexed citations
11.
Zgliczyński, Piotr & Konstantin Mischaikow. (2001). Rigorous Numerics for Partial Differential Equations: The Kuramoto—Sivashinsky Equation. Foundations of Computational Mathematics. 1(3). 255–288. 81 indexed citations
12.
Mischaikow, Konstantin, Marian Mrożek, & Andrzej Szymczak. (2001). Chaos in the Lorenz Equations: A Computer Assisted Proof Part III: Classical Parameter Values. Journal of Differential Equations. 169(1). 17–56. 26 indexed citations
13.
Kwapisz, Jarosław, et al.. (2000). Horseshoes and the Conley index spectrum. Ergodic Theory and Dynamical Systems. 20(2). 365–377. 22 indexed citations
14.
Mischaikow, Konstantin. (1999). The Conley index theory: A brief introduction. Banach Center Publications. 47(1). 9–19. 23 indexed citations
15.
Kokubu, Hiroshi, Konstantin Mischaikow, & Hiroe Oka. (1999). Directional transition matrix. Banach Center Publications. 47(1). 133–144. 5 indexed citations
16.
Kokubu, Hiroshi, et al.. (1997). Connecting Orbit Structure of Monotone Solutions in the Shadow System. Journal of Differential Equations. 140(2). 309–364. 4 indexed citations
17.
Kokubu, Hiroshi, Konstantin Mischaikow, & Hiroe Oka. (1996). Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation. Nonlinearity. 9(5). 1263–1280. 10 indexed citations
18.
Mischaikow, Konstantin, Hal L. Smith, & Horst R. Thieme. (1995). Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions. Transactions of the American Mathematical Society. 347(5). 1669–1669. 30 indexed citations
19.
Mischaikow, Konstantin, Hal L. Smith, & Horst R. Thieme. (1995). Asymptotically autonomous semiflows: chain recurrence and Lyapunov functions. Transactions of the American Mathematical Society. 347(5). 1669–1685. 175 indexed citations
20.
McCord, Christopher, Konstantin Mischaikow, & Marian Mrożek. (1995). Zeta Functions, Periodic Trajectories, and the Conley Index. Journal of Differential Equations. 121(2). 258–292. 28 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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