William F. Langford

1.5k total citations
34 papers, 1.0k citations indexed

About

William F. Langford is a scholar working on Computer Networks and Communications, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, William F. Langford has authored 34 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Computer Networks and Communications, 18 papers in Statistical and Nonlinear Physics and 7 papers in Geometry and Topology. Recurrent topics in William F. Langford's work include Nonlinear Dynamics and Pattern Formation (18 papers), Quantum chaos and dynamical systems (8 papers) and Advanced Differential Equations and Dynamical Systems (7 papers). William F. Langford is often cited by papers focused on Nonlinear Dynamics and Pattern Formation (18 papers), Quantum chaos and dynamical systems (8 papers) and Advanced Differential Equations and Dynamical Systems (7 papers). William F. Langford collaborates with scholars based in Canada, United States and China. William F. Langford's co-authors include Martin Golubitsky, Herbert B. Keller, Stephan A. van Gils, Eric J. Kostelich, Harry L. Swinney, Randall Tagg, Martin Krupa, Gérard Iooss, Chengzhi Li and Isabel S. Labouriau and has published in prestigious journals such as Annals of the New York Academy of Sciences, Physics Letters A and SIAM Journal on Numerical Analysis.

In The Last Decade

William F. Langford

34 papers receiving 911 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
William F. Langford Canada 17 508 481 222 190 111 34 1.0k
James Murdock United States 11 229 0.5× 461 1.0× 256 1.2× 117 0.6× 269 2.4× 34 1.3k
Stephen Schecter United States 17 220 0.4× 254 0.5× 171 0.8× 165 0.9× 134 1.2× 73 834
Ernest Fontich Spain 17 183 0.4× 797 1.7× 308 1.4× 55 0.3× 91 0.8× 51 1.1k
Klaus Kirchgässner Germany 16 271 0.5× 428 0.9× 81 0.4× 198 1.0× 180 1.6× 39 1.1k
Hendrik Broer United States 11 224 0.4× 540 1.1× 204 0.9× 24 0.1× 54 0.5× 27 770
Glen R. Hall United States 11 242 0.5× 621 1.3× 237 1.1× 24 0.1× 48 0.4× 21 993
Gregor Kovačič United States 18 256 0.5× 740 1.5× 130 0.6× 131 0.7× 205 1.8× 62 1.1k
Michele V. Bartuccelli United Kingdom 16 366 0.7× 424 0.9× 35 0.2× 69 0.4× 171 1.5× 61 851
Xiao-Biao Lin United States 16 229 0.5× 298 0.6× 150 0.7× 79 0.4× 313 2.8× 47 1.1k
Morten Brøns Denmark 19 283 0.6× 385 0.8× 19 0.1× 557 2.9× 53 0.5× 85 1.1k

Countries citing papers authored by William F. Langford

Since Specialization
Citations

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

Fields of papers citing papers by William F. Langford

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William F. Langford. 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 William F. Langford. The network helps show where William F. Langford may publish in the future.

Co-authorship network of co-authors of William F. Langford

This figure shows the co-authorship network connecting the top 25 collaborators of William F. Langford. A scholar is included among the top collaborators of William F. Langford 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 William F. Langford. William F. Langford 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.
Langford, William F., et al.. (2020). Anthropocene climate bifurcation. Nonlinear processes in geophysics. 27(3). 391–409. 3 indexed citations
2.
Langford, William F., et al.. (2019). An energy balance model for paleoclimate transitions. Climate of the past. 15(2). 493–520. 6 indexed citations
3.
Willms, Allan R., et al.. (2017). Huygens’ clocks revisited. Royal Society Open Science. 4(9). 170777–170777. 34 indexed citations
4.
Willms, Allan R., et al.. (2015). A Model of the Effects of Fluid Variation due to Body Position on Cheyne–Stokes Respiration. Bulletin of Mathematical Biology. 77(3). 488–498. 1 indexed citations
5.
Dong, Fang & William F. Langford. (2008). Models of Cheyne-Stokes respiration with cardiovascular pathologies. Journal of Mathematical Biology. 57(4). 497–519. 10 indexed citations
6.
Gumel, Abba B., William F. Langford, E. H. Twizell, & Jian Wu. (2000). Numerical solutions for a coupled non-linear oscillator. Journal of Mathematical Chemistry. 28(4). 325–340. 1 indexed citations
7.
Langford, William F., et al.. (1998). Pattern formation in annular convection. Physica A Statistical Mechanics and its Applications. 261(1-2). 188–203. 8 indexed citations
8.
Langford, William F., et al.. (1998). Gain-induced oscillations in blood pressure. Journal of Mathematical Biology. 37(3). 203–234. 20 indexed citations
9.
Chadam, John, et al.. (1995). Pattern Formation: Symmetry Methods and Applications. American Mathematical Society eBooks. 5 indexed citations
10.
LeBlanc, Victor G., et al.. (1994). Symmetry-breaking for leading order gradient maps in R2with applications to O(3). Nonlinearity. 7(2). 577–594. 4 indexed citations
11.
Gils, Stephan A. van, Martin Krupa, & William F. Langford. (1990). Hopf bifurcation with non-semisimple 1:1 resonance. Nonlinearity. 3(3). 825–850. 57 indexed citations
12.
Li, Chengzhi, et al.. (1989). Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem. SIAM Journal on Mathematical Analysis. 20(1). 13–30. 72 indexed citations
13.
Langford, William F., Randall Tagg, Eric J. Kostelich, Harry L. Swinney, & Martin Golubitsky. (1988). Primary instabilities and bicriticality in flow between counter-rotating cylinders. The Physics of Fluids. 31(4). 776–785. 93 indexed citations
14.
Crawford, John D., Martin Golubitsky, & William F. Langford. (1988). Modulated rotating waves in O(2) mode interactions. Dynamics and Stability of Systems. 3(3-4). 159–175. 10 indexed citations
15.
Golubitsky, Martin & William F. Langford. (1988). Pattern formation and bistability in flow between counterrotating cylinders. Physica D Nonlinear Phenomena. 32(3). 362–392. 66 indexed citations
16.
Golubitsky, Martin & William F. Langford. (1981). Classification and unfoldings of degenerate Hopf bifurcations. Journal of Differential Equations. 41(3). 375–415. 171 indexed citations
17.
Iooss, Gérard & William F. Langford. (1980). CONJECTURES ON THE ROUTES TO TURBULENCE VIA BIFURCATIONS. Annals of the New York Academy of Sciences. 357(1). 489–505. 36 indexed citations
18.
Langford, William F., A. Arnéodo, P. Coullet, C. Tresser, & J. Coste. (1980). A mechanism for a soft mode instability. Physics Letters A. 78(1). 11–14. 16 indexed citations
19.
Langford, William F.. (1979). Periodic and Steady-State Mode Interactions Lead to Tori. SIAM Journal on Applied Mathematics. 37(1). 22–48. 122 indexed citations
20.
Keller, Herbert B. & William F. Langford. (1972). Iterations, perturbations and multiplicities for nonlinear bifurcation problems. Archive for Rational Mechanics and Analysis. 48(2). 83–108. 54 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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