Jack K. Hale

35.3k total citations · 9 hit papers
166 papers, 23.9k citations indexed

About

Jack K. Hale is a scholar working on Numerical Analysis, Applied Mathematics and Control and Systems Engineering. According to data from OpenAlex, Jack K. Hale has authored 166 papers receiving a total of 23.9k indexed citations (citations by other indexed papers that have themselves been cited), including 73 papers in Numerical Analysis, 69 papers in Applied Mathematics and 60 papers in Control and Systems Engineering. Recurrent topics in Jack K. Hale's work include Stability and Controllability of Differential Equations (56 papers), Numerical methods for differential equations (48 papers) and Advanced Mathematical Modeling in Engineering (46 papers). Jack K. Hale is often cited by papers focused on Stability and Controllability of Differential Equations (56 papers), Numerical methods for differential equations (48 papers) and Advanced Mathematical Modeling in Engineering (46 papers). Jack K. Hale collaborates with scholars based in United States, Brazil and France. Jack K. Hale's co-authors include Sjoerd M. Verduyn Lunel, Shui-Nee Chow, Ray Redheffer, Hüseyin Koçak, Geneviève Raugel, Paul Waltman, J. L. Brenner, N. N. Krasovskiĭ, Giorgio Fusco and John Mallet‐Paret and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physics Today and Journal of Computational Physics.

In The Last Decade

Jack K. Hale

161 papers receiving 21.4k citations

Hit Papers

Theory of Functional Differential Equations 1964 2026 1984 2005 1977 1993 1971 1982 2010 1000 2.0k 3.0k 4.0k 5.0k
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. Theory of Functional Differential Equations
    1977 5.3k citations Jack K. Hale profile →
  2. Introduction to Functional Differential Equations
    1993 4.6k citations Jack K. Hale et al. profile →
  3. Ordinary Differential Equations.
    1971 1.9k citations Jack K. Hale et al. profile →
  4. Methods of Bifurcation Theory
    1982 1.6k citations Shui-Nee Chow, Jack K. Hale profile →
  5. Asymptotic Behavior of Dissipative Systems
    2010 1.1k citations Jack K. Hale Mathematical surveys and monographs profile →
  6. Functional Differential Equations
    1971 919 citations Jack K. Hale profile →
  7. Dynamics and Bifurcations
    1991 855 citations Jack K. Hale et al. profile →
  8. Persistence in Infinite-Dimensional Systems
    1989 453 citations Jack K. Hale et al. profile →
  9. Stability of Motion.
    1964 423 citations Jack K. Hale et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jack K. Hale United States 53 9.1k 6.2k 6.1k 5.1k 5.0k 166 23.9k
V. Lakshmikantham United States 51 4.7k 0.5× 11.9k 1.9× 1.4k 0.2× 6.1k 1.2× 1.9k 0.4× 320 19.2k
Xuerong Mao United Kingdom 75 9.4k 1.0× 4.1k 0.7× 6.9k 1.1× 2.2k 0.4× 7.5k 1.5× 392 24.5k
Shiing-Shen Chern United States 35 3.6k 0.4× 11.5k 1.9× 814 0.1× 2.6k 0.5× 1.1k 0.2× 88 23.4k
Roger Témam United States 62 9.4k 1.0× 9.0k 1.5× 2.6k 0.4× 2.7k 0.5× 353 0.1× 360 25.6k
James A. Yorke United States 94 2.0k 0.2× 1.3k 0.2× 12.2k 2.0× 1.2k 0.2× 2.4k 0.5× 370 38.5k
Д. Д. Байнов Bulgaria 23 2.8k 0.3× 4.8k 0.8× 1.5k 0.2× 2.5k 0.5× 2.1k 0.4× 248 8.3k
A. Pazy Israel 18 5.9k 0.6× 4.8k 0.8× 757 0.1× 1.9k 0.4× 773 0.2× 31 11.0k
Ravi P. Agarwal United States 71 4.2k 0.5× 20.3k 3.3× 726 0.1× 12.7k 2.5× 2.1k 0.4× 1.2k 28.0k
J. A. Tenreiro Machado Portugal 71 6.9k 0.8× 3.5k 0.6× 1.5k 0.3× 5.1k 1.0× 931 0.2× 752 22.5k
Michael G. Crandall United States 47 2.4k 0.3× 7.6k 1.2× 435 0.1× 2.1k 0.4× 1.1k 0.2× 99 14.6k

Countries citing papers authored by Jack K. Hale

Since Specialization
Citations

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

Fields of papers citing papers by Jack K. Hale

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jack K. Hale. 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 Jack K. Hale. The network helps show where Jack K. Hale may publish in the future.

Co-authorship network of co-authors of Jack K. Hale

This figure shows the co-authorship network connecting the top 25 collaborators of Jack K. Hale. A scholar is included among the top collaborators of Jack K. Hale 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 Jack K. Hale. Jack K. Hale 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.
Hale, Jack K.. (2010). Asymptotic Behavior of Dissipative Systems. Mathematical surveys and monographs. 1067 indexed citations breakdown →
2.
Hale, Jack K.. (1999). Dynamics of a Scalar Parabolic Equation. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 12. 239–314. 12 indexed citations
3.
Hale, Jack K., L. A. Peletier, & William C. Troy. (1999). Stability and instability in the Gray-Scott model: The case of equal diffusivities. Applied Mathematics Letters. 12(4). 59–65. 33 indexed citations
4.
Hale, Jack K.. (1997). Attracting Manifolds for Evolutionary Equations. 3(1). 55–72. 6 indexed citations
5.
Hale, Jack K. & Wenzhi Huang. (1994). Period Doubling in Singularly Perturbed Delay Equations. Journal of Differential Equations. 114(1). 1–23. 34 indexed citations
6.
Hale, Jack K. & Anatoli F. Ivanov. (1993). On a High Order Differential Delay Equation. Journal of Mathematical Analysis and Applications. 173(2). 505–514. 15 indexed citations
7.
Chow, S.N., et al.. (1992). From sine waves to square waves in delay equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 120(3-4). 223–229. 35 indexed citations
8.
Hale, Jack K. & Geneviève Raugel. (1992). A damped hyperbolic equation on thin domains. Transactions of the American Mathematical Society. 329(1). 185–219. 84 indexed citations
9.
Hale, Jack K. & Geneviève Raugel. (1992). A Damped Hyperbolic Equation on Thin Domains. Transactions of the American Mathematical Society. 329(1). 185–185. 20 indexed citations
10.
Hale, Jack K., et al.. (1980). On the zeros of exponential polynomials. Journal of Mathematical Analysis and Applications. 73(2). 434–452. 96 indexed citations
11.
Chow, Shui-Nee & Jack K. Hale. (1978). Periodic solutions of autonomous equations. Journal of Mathematical Analysis and Applications. 66(3). 495–506. 22 indexed citations
12.
Hale, Jack K. & Jean Mawhin. (1974). Coincidence degree and periodic solutions of neutral equations. Journal of Differential Equations. 15(2). 295–307. 82 indexed citations
13.
Hale, Jack K. & Orlando Lopes. (1973). Fixed point theorems and dissipative processes. Journal of Differential Equations. 13(2). 391–402. 69 indexed citations
14.
Hale, Jack K., J. P. LaSalle, & Marshall Slemrod. (1972). Theory of a general class of dissipative processes. Journal of Mathematical Analysis and Applications. 39(1). 177–191. 40 indexed citations
15.
Hale, Jack K., et al.. (1971). On the uniform asymptotic stability of functional differential equations of the neutral type. Proceedings of the American Mathematical Society. 28(1). 100–106. 7 indexed citations
16.
Hale, Jack K.. (1971). Critical cases for neutral functional differential equations. Journal of Differential Equations. 10(1). 59–82. 30 indexed citations
17.
Hale, Jack K. & J. P. LaSalle. (1967). Differential equations and dynamical systems : proceedings of an International Symposium held at the University of Puerto Rico, Mayaguez, Puerto Rico, December 27-30, 1965. Academic Press eBooks. 2 indexed citations
18.
Hale, Jack K.. (1960). On differential equations containing a small parameter. 11 indexed citations
19.
20.
Cesari, L. & Jack K. Hale. (1957). A new sufficient condition for periodic solutions of weakly nonlinear differential systems. Proceedings of the American Mathematical Society. 8(4). 757–764. 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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