Robert L. Devaney

11.8k total citations · 3 hit papers
124 papers, 6.4k citations indexed

About

Robert L. Devaney is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Robert L. Devaney has authored 124 papers receiving a total of 6.4k indexed citations (citations by other indexed papers that have themselves been cited), including 68 papers in Mathematical Physics, 47 papers in Geometry and Topology and 44 papers in Statistical and Nonlinear Physics. Recurrent topics in Robert L. Devaney's work include Mathematical Dynamics and Fractals (65 papers), Advanced Differential Equations and Dynamical Systems (31 papers) and Quantum chaos and dynamical systems (27 papers). Robert L. Devaney is often cited by papers focused on Mathematical Dynamics and Fractals (65 papers), Advanced Differential Equations and Dynamical Systems (31 papers) and Quantum chaos and dynamical systems (27 papers). Robert L. Devaney collaborates with scholars based in United States, Spain and Germany. Robert L. Devaney's co-authors include Jean‐Pierre Eckmann, Morris W. Hirsch, Stephen T. Smale, Michael F. Barnsley, Benoît B. Mandelbrot, Richard F. Voss, Heinz‐Otto Peitgen, Dietmar Saupe, James Gleick and Zbigniew Nitecki and has published in prestigious journals such as Science, Physics Today and Annals of the New York Academy of Sciences.

In The Last Decade

Robert L. Devaney

116 papers receiving 5.7k 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.

An Introduction to Chaotic Dynamical Systems

1987 1.5k citations Robert L. Devaney et al. profile →
The Science of Fractal Images

1988 1.0k citations Michael F. Barnsley, Robert L. Devaney et al. profile →
Differential Equations, Dynamical Systems, and an Introduction to Chaos

2013 657 citations Robert L. Devaney et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert L. Devaney United States	32	2.5k	2.3k	1.4k	716	679	124	6.4k
Morris W. Hirsch United States	34	2.1k 0.8×	2.7k 1.2×	2.7k 1.9×	1.3k 1.8×	982 1.4×	120	8.5k
Ralph Abraham United States	20	1.5k 0.6×	869 0.4×	810 0.6×	392 0.5×	476 0.7×	61	4.8k
Floris Takens Netherlands	32	4.1k 1.6×	1.8k 0.8×	1.3k 0.9×	2.1k 2.9×	315 0.5×	90	8.1k
Mark Kac United States	35	3.2k 1.3×	2.0k 0.9×	780 0.6×	481 0.7×	1.2k 1.8×	114	10.0k
K. J. Falconer United Kingdom	31	1.9k 0.8×	5.4k 2.4×	1.8k 1.3×	254 0.4×	1.6k 2.3×	120	9.7k
Sergey Fomin United States	32	2.2k 0.9×	3.3k 1.4×	4.2k 3.0×	328 0.5×	1.7k 2.4×	73	9.7k
Persi Diaconis United States	57	1.2k 0.5×	3.4k 1.5×	1.3k 1.0×	997 1.4×	1.8k 2.6×	232	14.0k
Carl Hammer United States	9	1.1k 0.4×	917 0.4×	498 0.4×	533 0.7×	732 1.1×	63	7.8k
Steve Smale United States	32	992 0.4×	1.1k 0.5×	915 0.7×	1.3k 1.8×	2.0k 2.9×	54	7.3k
Ian Stewart United Kingdom	36	3.4k 1.4×	686 0.3×	984 0.7×	3.4k 4.7×	653 1.0×	285	9.5k

Countries citing papers authored by Robert L. Devaney

Since Specialization

Citations

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

Fields of papers citing papers by Robert L. Devaney

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert L. Devaney. 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 Robert L. Devaney. The network helps show where Robert L. Devaney may publish in the future.

Co-authorship network of co-authors of Robert L. Devaney

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Devaney, Robert L.. (2015). A Mandelpinski maze for rational maps of the form zn+λ/zd. Indagationes Mathematicae. 27(5). 1042–1058. 5 indexed citations

2.

Bandt, Christoph, et al.. (2014). Fractals, Wavelets, and their Applications : Contributions from the International Conference and Workshop on Fractals and Wavelets. Springer eBooks. 2 indexed citations

3.

Devaney, Robert L., et al.. (2014). Superelastic Orthopedic Implant Coatings. Journal of Materials Engineering and Performance. 23(7). 2464–2470. 8 indexed citations

4.

Devaney, Robert L., et al.. (2007). Julia sets converging to the unit disk. Proceedings of the American Mathematical Society. 136(3). 981–988. 12 indexed citations

5.

Devaney, Robert L.. (2007). Cantor sets of circles of Sierpiński curve Julia sets. Ergodic Theory and Dynamical Systems. 27(5). 1525–1539. 3 indexed citations

6.

Devaney, Robert L., et al.. (2006). Complex Dynamics. Contemporary mathematics - American Mathematical Society. 2 indexed citations

7.

Devaney, Robert L. & Xavier Jarque. (2002). Indecomposable continua in exponential dynamics. Conformal Geometry and Dynamics of the American Mathematical Society. 6(1). 1–12. 13 indexed citations

8.

Devaney, Robert L., et al.. (2002). GEOMETRY OF THE ANTENNAS IN THE MANDELBROT SET. Fractals. 10(1). 39–46. 9 indexed citations

9.

Devaney, Robert L.. (2001). Sex: Dynamics, topology, and bifurcations of complex exponentials. Topology and its Applications. 110(2). 133–161. 10 indexed citations

10.

Devaney, Robert L.. (1995). Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets. 29 indexed citations

11.

Devaney, Robert L., et al.. (1991). Transition to Chaos: The Orbit Diagram and the Mandelbrot Set. College Mathematics Journal. 22(5). 455–455.

12.

Devaney, Robert L. & Linda Keen. (1989). Chaos and Fractals: The Mathematics Behind the Computer Graphics. 77 indexed citations

13.

Devaney, Robert L. & James Gleick. (1989). Chaos: Making a New Science. College Mathematics Journal. 20(5). 458–458. 200 indexed citations

14.

Devaney, Robert L.. (1984). Homoclinic bifurcations and the area-conserving Hénon mapping. Journal of Differential Equations. 51(2). 254–266. 29 indexed citations

15.

Devaney, Robert L.. (1982). Motion near total collapse in the planar isosceles three-body problem. Celestial Mechanics and Dynamical Astronomy. 28(1-2). 25–36. 5 indexed citations

16.

Devaney, Robert L.. (1981). Genealogy of Periodic Points of Maps of the Interval. Transactions of the American Mathematical Society. 265(1). 137–137. 1 indexed citations

17.

Devaney, Robert L.. (1978). Subshifts of Finite Type in Linked Twist Mappings. Proceedings of the American Mathematical Society. 71(2). 334–334. 7 indexed citations

18.

Devaney, Robert L.. (1978). Subshifts of finite type in linked twist mappings. Proceedings of the American Mathematical Society. 71(2). 334–338. 23 indexed citations

19.

Devaney, Robert L.. (1978). Nonregularizability of the anisotropic Kepler problem. Journal of Differential Equations. 29(2). 253–268. 22 indexed citations

20.

Devaney, Robert L.. (1976). Homoclinic orbits in Hamiltonian systems. Journal of Differential Equations. 21(2). 431–438. 121 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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