Rod Halburd

1.4k total citations · 1 hit paper
18 papers, 698 citations indexed

About

Rod Halburd is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Rod Halburd has authored 18 papers receiving a total of 698 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Geometry and Topology, 11 papers in Statistical and Nonlinear Physics and 11 papers in Applied Mathematics. Recurrent topics in Rod Halburd's work include Meromorphic and Entire Functions (11 papers), Advanced Differential Equations and Dynamical Systems (11 papers) and Nonlinear Waves and Solitons (11 papers). Rod Halburd is often cited by papers focused on Meromorphic and Entire Functions (11 papers), Advanced Differential Equations and Dynamical Systems (11 papers) and Nonlinear Waves and Solitons (11 papers). Rod Halburd collaborates with scholars based in United Kingdom, Australia and United States. Rod Halburd's co-authors include Risto Korhonen, Sarbarish Chakravarty, Mark J. Ablowitz, Yik‐Man Chiang, Jun Wang, Galina Filipuk, Martin D. Kruskal and Nalini Joshi and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Physica D Nonlinear Phenomena and Journal of Mathematical Physics.

In The Last Decade

Rod Halburd

17 papers receiving 649 citations

Hit Papers

Difference analogue of the Lemma on the Logarithmic Deriv... 2005 2026 2012 2019 2005 100 200 300
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. Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations
    2005 371 citations Rod Halburd, Risto Korhonen Journal of Mathematical Analysis and Applications profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Rod Halburd United Kingdom 8 589 522 115 37 28 18 698
R. G. Halburd United Kingdom 10 443 0.8× 391 0.7× 116 1.0× 35 0.9× 33 1.2× 13 566
Agostino Prástaro Italy 11 145 0.2× 131 0.3× 147 1.3× 84 2.3× 24 0.9× 37 303
Jian Cao China 12 380 0.6× 84 0.2× 80 0.7× 202 5.5× 16 0.6× 59 417
V. V. Zharinov Russia 9 76 0.1× 59 0.1× 88 0.8× 40 1.1× 36 1.3× 52 258
Boris Doubrov Belarus 8 74 0.1× 93 0.2× 108 0.9× 29 0.8× 8 0.3× 26 178
Дмитрий Викторович Лейкин Russia 8 41 0.1× 145 0.3× 139 1.2× 34 0.9× 16 0.6× 24 245
Youssèf Ben Cheikh Tunisia 9 277 0.5× 35 0.1× 97 0.8× 106 2.9× 45 1.6× 20 311
Andreas Juhl Germany 7 112 0.2× 100 0.2× 30 0.3× 22 0.6× 5 0.2× 18 183
Edward Y. Miller United States 10 97 0.2× 228 0.4× 65 0.6× 66 1.8× 3 0.1× 25 363
Jacques Helmstetter France 8 121 0.2× 80 0.2× 22 0.2× 132 3.6× 5 0.2× 31 211

Countries citing papers authored by Rod Halburd

Since Specialization
Citations

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

Fields of papers citing papers by Rod Halburd

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Rod Halburd. 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 Rod Halburd. The network helps show where Rod Halburd may publish in the future.

Co-authorship network of co-authors of Rod Halburd

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

All Works

18 of 18 papers shown
1.
Halburd, Rod, et al.. (2025). All meromorphic solutions of a 3D Lotka–Volterra system: Detecting partial integrability. Physica D Nonlinear Phenomena. 476. 134674–134674.
2.
Halburd, Rod & Risto Korhonen. (2019). Three Approaches to Detecting Discrete Integrability. Computational Methods and Function Theory. 19(2). 299–313. 2 indexed citations
3.
Halburd, Rod & Risto Korhonen. (2017). Growth of meromorphic solutions of delay differential equations. UEF eRepo (University of Eastern Finland). 26 indexed citations
4.
Halburd, Rod & Jun Wang. (2014). All Admissible Meromorphic Solutions of Hayman's Equation. International Mathematics Research Notices. 2015(18). 8890–8902. 7 indexed citations
5.
Halburd, Rod, et al.. (2014). Local and global finite branching of solutions of ordinary differential equations. 57–78. 3 indexed citations
6.
Halburd, Rod & Risto Korhonen. (2010). NONDECREASING FUNCTIONS, EXCEPTIONAL SETS AND GENERALIZED BOREL LEMMAS. Journal of the Australian Mathematical Society. 88(3). 353–361. 1 indexed citations
7.
Filipuk, Galina & Rod Halburd. (2009). Rational ODEs with Movable Algebraic Singularities. Studies in Applied Mathematics. 123(1). 17–36. 3 indexed citations
8.
Halburd, Rod & Risto Korhonen. (2006). Existence of finite-order meromorphic solutions as a detector of integrability in difference equations. Physica D Nonlinear Phenomena. 218(2). 191–203. 41 indexed citations
9.
Halburd, Rod & Risto Korhonen. (2006). Finite-order meromorphic solutions and the discrete Painlevé equations. Proceedings of the London Mathematical Society. 94(2). 443–474. 123 indexed citations
10.
Halburd, Rod. (2005). Diophantine integrability. Journal of Physics A Mathematical and General. 38(16). L263–L269. 35 indexed citations
11.
Halburd, Rod & Risto Korhonen. (2005). Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations. Journal of Mathematical Analysis and Applications. 314(2). 477–487. 371 indexed citations breakdown →
12.
Kruskal, Martin D., Nalini Joshi, & Rod Halburd. (2004). Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: A Review and Extensions of Tests for the Painlevé Property. Lecture notes in physics. 175–208. 2 indexed citations
13.
Ablowitz, Mark J., Sarbarish Chakravarty, & Rod Halburd. (2003). Integrable systems and reductions of the self-dual Yang–Mills equations. Journal of Mathematical Physics. 44(8). 3147–3173. 52 indexed citations
14.
Chakravarty, Sarbarish, et al.. (2003). Self-similar solutions of certain coupled integrable systems. Journal of Physics A Mathematical and General. 36(5). 1371–1384. 5 indexed citations
15.
Chiang, Yik‐Man & Rod Halburd. (2003). On the meromorphic solutions of an equation of Hayman. Journal of Mathematical Analysis and Applications. 281(2). 663–677. 11 indexed citations
16.
Halburd, Rod. (2000). Solvable models of relativistic charged spherically symmetric fluids. Classical and Quantum Gravity. 18(1). 11–25. 6 indexed citations
17.
Halburd, Rod. (1999). Integrable relativistic models and the generalized Chazy equation. Nonlinearity. 12(4). 931–938. 9 indexed citations
18.
Halburd, Rod & Nalini Joshi. (1996). The Coalescence Limit of the Second Painlevé Equation. Studies in Applied Mathematics. 97(1). 1–15. 1 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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