Eusebius J. Doedel

6.2k total citations · 1 hit paper
73 papers, 4.4k citations indexed

About

Eusebius J. Doedel is a scholar working on Computer Networks and Communications, Statistical and Nonlinear Physics and Numerical Analysis. According to data from OpenAlex, Eusebius J. Doedel has authored 73 papers receiving a total of 4.4k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Computer Networks and Communications, 31 papers in Statistical and Nonlinear Physics and 18 papers in Numerical Analysis. Recurrent topics in Eusebius J. Doedel's work include Nonlinear Dynamics and Pattern Formation (37 papers), Quantum chaos and dynamical systems (15 papers) and Differential Equations and Numerical Methods (14 papers). Eusebius J. Doedel is often cited by papers focused on Nonlinear Dynamics and Pattern Formation (37 papers), Quantum chaos and dynamical systems (15 papers) and Differential Equations and Numerical Methods (14 papers). Eusebius J. Doedel collaborates with scholars based in Canada, United States and Mexico. Eusebius J. Doedel's co-authors include Herbert B. Keller, Alan Champneys, Yuri A. Kuznetsov, Randy Paffenroth, Bart E. Oldeman, Björn Sandstede, Fabio Dercole, Mark J. Friedman, Hans G. Othmer and Laurette S. Tuckerman and has published in prestigious journals such as Physical Review Letters, Chemical Engineering Science and Journal of Theoretical Biology.

In The Last Decade

Eusebius J. Doedel

70 papers receiving 4.1k 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.

AUTO-07p: Continuation and bifurcation software for ordinary differential equations

2007 1.2k citations Eusebius J. Doedel, Yuri A. Kuznetsov et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Eusebius J. Doedel Canada	27	1.6k	1.4k	714	681	432	73	4.4k
Ferdinand Verhulst Netherlands	20	1.7k 1.1×	871 0.6×	308 0.4×	789 1.2×	210 0.5×	91	4.1k
Richard H. Rand United States	39	1.8k 1.1×	1.4k 1.0×	379 0.5×	1.0k 1.5×	243 0.6×	229	5.5k
Gérard Iooss France	30	2.2k 1.4×	1.7k 1.2×	842 1.2×	486 0.7×	113 0.3×	84	4.6k
Björn Sandstede United States	39	2.4k 1.5×	2.4k 1.7×	473 0.7×	682 1.0×	102 0.2×	141	5.2k
David G. Schaeffer United States	31	1.3k 0.8×	1.3k 0.9×	2.3k 3.3×	497 0.7×	98 0.2×	96	6.1k
A. H. Nayfeh United States	17	790 0.5×	383 0.3×	996 1.4×	1.0k 1.5×	327 0.8×	42	4.4k
Chris Budd United Kingdom	30	1.5k 1.0×	755 0.5×	717 1.0×	929 1.4×	86 0.2×	138	4.4k
Alan Champneys United Kingdom	43	3.7k 2.3×	2.7k 1.9×	650 0.9×	2.0k 2.9×	280 0.6×	224	9.2k
Bernd Krauskopf United Kingdom	40	2.7k 1.7×	2.8k 2.0×	235 0.3×	888 1.3×	258 0.6×	294	7.0k
D.S. Mazel United States	7	1.4k 0.9×	917 0.7×	243 0.3×	433 0.6×	118 0.3×	20	3.1k

Countries citing papers authored by Eusebius J. Doedel

Since Specialization

Citations

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

Fields of papers citing papers by Eusebius J. Doedel

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Eusebius J. Doedel

This figure shows the co-authorship network connecting the top 25 collaborators of Eusebius J. Doedel. A scholar is included among the top collaborators of Eusebius J. Doedel 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 Eusebius J. Doedel. Eusebius J. Doedel 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

Doedel, Eusebius J., et al.. (2025). Pattern formation in coiling of falling viscous threads: Revisiting the geometric model. Physical Review Fluids. 10(2). 1 indexed citations

Doedel, Eusebius J., et al.. (2022). Correlation sum scalings from mixed-mode oscillations in weakly coupled molecular lasers. Chaos An Interdisciplinary Journal of Nonlinear Science. 32(8). 83132–83132. 4 indexed citations

Doedel, Eusebius J., et al.. (2019). Rare events in mixed-mode oscillations from weakly coupled lasers. Physical review. E. 100(5). 52204–52204. 14 indexed citations

Calleja, Renato, et al.. (2018). Choreographies in the discrete nonlinear Schrödinger equations. The European Physical Journal Special Topics. 227(5-6). 615–624. 2 indexed citations

Doedel, Eusebius J., et al.. (2014). Multiparameter bifurcations and mixed-mode oscillations inQ-switchedCO2lasers. Physical Review E. 89(5). 52904–52904. 16 indexed citations

Dijkstra, Henk A., Fred W. Wubs, Eusebius J. Doedel, et al.. (2013). Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation. Communications in Computational Physics. 15(1). 1–45. 118 indexed citations

Doedel, Eusebius J., Bernd Krauskopf, & Hinke M. Osinga. (2011). Global invariant manifolds in the transition to preturbulence in the Lorenz system. Indagationes Mathematicae. 22(3-4). 222–240. 28 indexed citations

Doedel, Eusebius J., et al.. (2011). Isolas of periodic passive Q-switching self-pulsations in the three-level:two-level model for a laser with a saturable absorber. Physical Review E. 84(5). 56207–56207. 10 indexed citations

Doedel, Eusebius J., et al.. (2011). BIFURCATION STRUCTURES IN A MODEL OF A CO₂ LASER WITH A FAST SATURABLE ABSORBER. International Journal of Bifurcation and Chaos. 21(1). 305–322. 17 indexed citations

10.

Doedel, Eusebius J., Bob W. Kooi, G.A.K. van Voorn, & Yuri A. Kuznetsov. (2008). CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (I): POINT-TO-CYCLE CONNECTIONS. International Journal of Bifurcation and Chaos. 18(7). 1889–1903. 27 indexed citations

11.

Doedel, Eusebius J., et al.. (2007). 1∕fnoise in a thin stochastic layer described by the discrete nonlinear Schrödinger equation. Physical Review E. 75(1). 16213–16213. 5 indexed citations

12.

Doedel, Eusebius J., Bernd Krauskopf, & Hinke M. Osinga. (2006). Global bifurcations of the Lorenz manifold. Nonlinearity. 19(12). 2947–2972. 52 indexed citations

13.

Krogh‐Madsen, Trine, Leon Glass, Eusebius J. Doedel, & M. R. Guevara. (2004). Apparent discontinuities in the phase-resetting response of cardiac pacemakers. Journal of Theoretical Biology. 230(4). 499–519. 29 indexed citations

14.

Galán, J., Francisco Javier Muñoz–Almaraz, E. Freire, Eusebius J. Doedel, & André Vanderbauwhede. (2002). Stability and Bifurcations of the Figure-8 Solution of the Three-Body Problem. Physical Review Letters. 88(24). 241101–241101. 25 indexed citations

15.

Aronson, D. G., Eusebius J. Doedel, & David Terman. (1997). A codimension-two point associated with coupled Josephson junctions. Nonlinearity. 10(5). 1231–1255. 1 indexed citations

16.

Doedel, Eusebius J.. (1996). AUTO94 : Software for continuation and bifurcation programs. Medical Entomology and Zoology. 2 indexed citations

17.

Doedel, Eusebius J., Mark J. Friedman, & John Guckenheimer. (1994). On Computing Connecting Orbits: General Algorithm and Applications to the Sine-Gordon and Hodgkin-Huxley Equations (Special Section on Nonlinear Theory and Its Applications). IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences. 77(11). 1801–1805. 1 indexed citations

18.

Doedel, Eusebius J., et al.. (1991). NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS. International Journal of Bifurcation and Chaos. 1(3). 493–520. 403 indexed citations

19.

Doedel, Eusebius J. & Mark J. Friedman. (1989). Numerical computation of heteroclinic orbits. Journal of Computational and Applied Mathematics. 26(1-2). 155–170. 76 indexed citations

20.

Doedel, Eusebius J.. (1979). Finite Difference Collocation Methods for Nonlinear Two Point Boundary Value Problems. SIAM Journal on Numerical Analysis. 16(2). 173–185. 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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