Mitchell J. Feigenbaum

7.8k total citations · 2 hit papers
30 papers, 5.2k citations indexed

About

Mitchell J. Feigenbaum is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Computer Networks and Communications. According to data from OpenAlex, Mitchell J. Feigenbaum has authored 30 papers receiving a total of 5.2k indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Statistical and Nonlinear Physics, 7 papers in Mathematical Physics and 6 papers in Computer Networks and Communications. Recurrent topics in Mitchell J. Feigenbaum's work include Quantum chaos and dynamical systems (10 papers), Chaos control and synchronization (6 papers) and Nonlinear Dynamics and Pattern Formation (6 papers). Mitchell J. Feigenbaum is often cited by papers focused on Quantum chaos and dynamical systems (10 papers), Chaos control and synchronization (6 papers) and Nonlinear Dynamics and Pattern Formation (6 papers). Mitchell J. Feigenbaum collaborates with scholars based in United States, Israel and Italy. Mitchell J. Feigenbaum's co-authors include Leo P. Kadanoff, Itamar Procaccia, Scott Shenker, Robert S. MacKay, J. M. Greene, Franco Vivaldi, Mogens H. Jensen, Brosl Hasslacher, Tamás Tél and P.S. Penev and has published in prestigious journals such as Physical Review Letters, Physics Today and Annals of the New York Academy of Sciences.

In The Last Decade

Mitchell J. Feigenbaum

30 papers receiving 4.8k citations

Hit Papers

Quantitative universality... 1978 2026 1994 2010 1978 1979 500 1000 1.5k 2.0k
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. Quantitative universality for a class of nonlinear transformations
    1978 2.3k citations Mitchell J. Feigenbaum Journal of Statistical Physics profile →
  2. The universal metric properties of nonlinear transformations
    1979 966 citations Mitchell J. Feigenbaum Journal of Statistical Physics profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Mitchell J. Feigenbaum 3.5k 2.2k 1.2k 638 607 30 5.2k
M. Hénon 3.8k 1.1× 1.2k 0.5× 951 0.8× 298 0.5× 445 0.7× 51 6.0k
Predrag Cvitanović 2.7k 0.8× 978 0.5× 863 0.7× 438 0.7× 260 0.4× 86 4.1k
Jean-Marie Strelcyn 3.1k 0.9× 1.3k 0.6× 615 0.5× 329 0.5× 301 0.5× 30 4.0k
Giancarlo Benettin 4.0k 1.1× 1.6k 0.7× 543 0.5× 529 0.8× 320 0.5× 76 5.1k
L. Galgani 3.8k 1.1× 1.5k 0.7× 460 0.4× 501 0.8× 340 0.6× 96 4.9k
Antonio Giorgilli 3.4k 1.0× 1.2k 0.5× 469 0.4× 334 0.5× 230 0.4× 92 4.5k
Floris Takens 4.1k 1.2× 2.1k 1.0× 1.8k 1.5× 234 0.4× 1.4k 2.2× 90 8.1k
Antonio Politi 4.4k 1.2× 2.6k 1.2× 829 0.7× 980 1.5× 855 1.4× 208 7.3k
Otto E. Rössler 4.7k 1.3× 3.0k 1.4× 681 0.6× 157 0.2× 812 1.3× 162 6.3k
Timothy Sauer 3.5k 1.0× 1.7k 0.8× 675 0.6× 161 0.3× 1.3k 2.2× 113 7.6k

Countries citing papers authored by Mitchell J. Feigenbaum

Since Specialization
Citations

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

Fields of papers citing papers by Mitchell J. Feigenbaum

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mitchell J. Feigenbaum. 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 Mitchell J. Feigenbaum. The network helps show where Mitchell J. Feigenbaum may publish in the future.

Co-authorship network of co-authors of Mitchell J. Feigenbaum

This figure shows the co-authorship network connecting the top 25 collaborators of Mitchell J. Feigenbaum. A scholar is included among the top collaborators of Mitchell J. Feigenbaum 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 Mitchell J. Feigenbaum. Mitchell J. Feigenbaum 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.
Davidovitch, Benny, Mitchell J. Feigenbaum, H. G. E. Hentschel, & Itamar Procaccia. (2000). Conformal dynamics of fractal growth patterns without randomness. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 62(2). 1706–1715. 16 indexed citations
2.
Feigenbaum, Mitchell J.. (1993). Oxford Hammond atlas of the world. Oxford University Press eBooks. 1 indexed citations
3.
Chhabra, Ashvin B., et al.. (1993). Sandpiles, avalanches, and the statistical mechanics of nonequilibrium stationary states. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 47(5). 3099–3121. 21 indexed citations
4.
Feigenbaum, Mitchell J., Itamar Procaccia, & Tamás Tél. (1989). Scaling properties of multifractals as an eigenvalue problem. Physical review. A, General physics. 39(10). 5359–5372. 63 indexed citations
5.
Feigenbaum, Mitchell J. & N. David Mermin. (1988). E=m c2. American Journal of Physics. 56(1). 18–21. 16 indexed citations
6.
Feigenbaum, Mitchell J.. (1988). Presentation functions and scaling function theory for circle maps. Nonlinearity. 1(4). 577–602. 14 indexed citations
7.
Feigenbaum, Mitchell J.. (1988). Presentation functions, fixed points, and a theory of scaling function dynamics. Journal of Statistical Physics. 52(3-4). 527–569. 60 indexed citations
8.
Feigenbaum, Mitchell J.. (1987). Some characterizations of strange sets. Journal of Statistical Physics. 46(5-6). 919–924. 105 indexed citations
9.
Feigenbaum, Mitchell J.. (1987). Scaling spectra and return times of dynamical systems. Journal of Statistical Physics. 46(5-6). 925–932. 41 indexed citations
10.
Gunaratne, Gemunu H. & Mitchell J. Feigenbaum. (1985). Trajectory scaling function for bifurcations in area-preserving maps on the plane. Physica D Nonlinear Phenomena. 17(3). 295–307. 4 indexed citations
11.
Feigenbaum, Mitchell J.. (1985). An interview with Stan Ulam and Mark Kac. Journal of Statistical Physics. 39(5-6). 455–476. 2 indexed citations
12.
Feigenbaum, Mitchell J. & Brosl Hasslacher. (1982). Irrational Decimations and Path Integrals for External Noise. Physical Review Letters. 49(9). 605–609. 48 indexed citations
13.
Feigenbaum, Mitchell J., Leo P. Kadanoff, & Scott Shenker. (1982). Quasiperiodicity in dissipative systems: A renormalization group analysis. Physica D Nonlinear Phenomena. 5(2-3). 370–386. 199 indexed citations
14.
Feigenbaum, Mitchell J. & L. Sertorio. (1981). Entropy balance for nonequilibrium steady states. ˜Il œNuovo cimento della Società italiana di fisica. B/˜Il œNuovo cimento B. 64(2). 252–260. 1 indexed citations
15.
Feigenbaum, Mitchell J.. (1980). The transition to aperiodic behavior in turbulent systems. Communications in Mathematical Physics. 77(1). 65–86. 237 indexed citations
16.
Feigenbaum, Mitchell J.. (1980). THE METRIC UNIVERSAL PROPERTIES OF PERIOD DOUBLING BIFURCATIONS AND THE SPECTRUM FOR A ROUTE TO TURBULENCE. Annals of the New York Academy of Sciences. 357(1). 330–336. 30 indexed citations
17.
Feigenbaum, Mitchell J.. (1979). THE ONSET SPECTRUM OF TURBULENCE. 138 indexed citations
18.
Feigenbaum, Mitchell J.. (1979). The universal metric properties of nonlinear transformations. Journal of Statistical Physics. 21(6). 669–706. 966 indexed citations breakdown →
19.
Feigenbaum, Mitchell J.. (1979). The onset spectrum of turbulence. Physics Letters A. 74(6). 375–378. 184 indexed citations
20.
Cooper, Fred & Mitchell J. Feigenbaum. (1976). Transport approach to multiparticle production: Collective phenomena and renormalization. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields. 14(2). 583–595. 8 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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