James Murdock

2.4k total citations · 1 hit paper
34 papers, 1.3k citations indexed

About

James Murdock is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, James Murdock has authored 34 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Statistical and Nonlinear Physics, 10 papers in Geometry and Topology and 6 papers in Algebra and Number Theory. Recurrent topics in James Murdock's work include Quantum chaos and dynamical systems (12 papers), Advanced Differential Equations and Dynamical Systems (7 papers) and Nonlinear Dynamics and Pattern Formation (5 papers). James Murdock is often cited by papers focused on Quantum chaos and dynamical systems (12 papers), Advanced Differential Equations and Dynamical Systems (7 papers) and Nonlinear Dynamics and Pattern Formation (5 papers). James Murdock collaborates with scholars based in United States, Netherlands and Kenya. James Murdock's co-authors include Jan A. Sanders, Ferdinand Verhulst, Clark Robinson, David Malonza and Robert J. McDonald and has published in prestigious journals such as Annals of Physics, SIAM Review and Journal of Differential Equations.

In The Last Decade

James Murdock

34 papers receiving 1.2k citations

Hit Papers

Averaging Methods in Nonlinear Dynamical Systems 2007 2026 2013 2019 2007 200 400 600
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. Averaging Methods in Nonlinear Dynamical Systems
    2007 736 citations James Murdock 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
James Murdock United States 11 461 269 256 229 160 34 1.3k
Richard Haberman United States 20 675 1.5× 132 0.5× 82 0.3× 270 1.2× 101 0.6× 51 1.4k
M. McCracken United States 3 659 1.4× 220 0.8× 278 1.1× 612 2.7× 132 0.8× 3 1.7k
Mark Levi United States 20 686 1.5× 324 1.2× 211 0.8× 301 1.3× 115 0.7× 62 1.2k
Yu. A. Mitropol’skii Czechia 7 668 1.4× 474 1.8× 101 0.4× 348 1.5× 466 2.9× 99 2.5k
Wolf‐Jürgen Beyn Germany 18 365 0.8× 278 1.0× 145 0.6× 315 1.4× 326 2.0× 57 1.3k
Solomon Lefschetz United States 12 469 1.0× 504 1.9× 341 1.3× 198 0.9× 252 1.6× 39 1.8k
Gregor Kovačič United States 18 740 1.6× 205 0.8× 130 0.5× 256 1.1× 44 0.3× 62 1.1k
Yoshisuke Ueda Japan 16 838 1.8× 210 0.8× 110 0.4× 615 2.7× 52 0.3× 54 1.3k
W.‐H. Steeb Germany 19 1.1k 2.4× 128 0.5× 213 0.8× 286 1.2× 209 1.3× 184 1.7k
J. C. Mason United Kingdom 12 205 0.4× 100 0.4× 79 0.3× 86 0.4× 288 1.8× 42 1.3k

Countries citing papers authored by James Murdock

Since Specialization
Citations

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

Fields of papers citing papers by James Murdock

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of James Murdock

This figure shows the co-authorship network connecting the top 25 collaborators of James Murdock. A scholar is included among the top collaborators of James Murdock 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 James Murdock. James Murdock 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.
Murdock, James, et al.. (2018). Block Stanley Decompositions II. Greedy Algorithms, Applications, and Open Problems. Bulletin of the Iranian Mathematical Society.. 45(1). 127–172. 1 indexed citations
2.
Murdock, James. (2015). Box products in nilpotent normal form theory: The factoring method. Journal of Differential Equations. 260(2). 1010–1077. 2 indexed citations
3.
Murdock, James, et al.. (2014). Block Stanley decompositions I. Elementary and gnomon decompositions. Journal of Pure and Applied Algebra. 219(6). 2189–2205. 2 indexed citations
4.
Murdock, James & David Malonza. (2009). An improved theory of asymptotic unfoldings. Journal of Differential Equations. 247(3). 685–709. 13 indexed citations
5.
Murdock, James. (2006). Normal forms. Scholarpedia. 1(10). 1902–1902. 5 indexed citations
6.
Murdock, James. (2005). REFINED COMPUTATION OF HYPERNORMAL FORMS. 229–235. 1 indexed citations
7.
Murdock, James. (2004). Hypernormal form theory: foundations and algorithms. Journal of Differential Equations. 205(2). 424–465. 29 indexed citations
8.
Murdock, James. (2002). On the Structure of Nilpotent Normal Form Modules. Journal of Differential Equations. 180(1). 198–237. 13 indexed citations
9.
McDonald, Robert J. & James Murdock. (1999). Non-autonomous normal forms for Hamiltonian systems. Dynamics and Stability of Systems. 14(4). 357–384. 2 indexed citations
10.
Murdock, James. (1998). Asymptotic Unfoldings of Dynamical Systems by Normalizing beyond the Normal Form. Journal of Differential Equations. 143(1). 151–190. 11 indexed citations
11.
Murdock, James, et al.. (1996). Validity of the multiple scale method for very long intervals. Zeitschrift für angewandte Mathematik und Physik. 47(5). 760–789. 9 indexed citations
12.
Murdock, James. (1995). Shadowing Multiple Elbow Orbits: An Application of Dynamical Systems to Perturbation Theory. Journal of Differential Equations. 119(1). 224–247. 3 indexed citations
13.
Murdock, James. (1994). Perturbation Methods for Engineers and Scientists (Alan W. Bush). SIAM Review. 36(1). 136–137. 3 indexed citations
14.
Murdock, James. (1988). On the length of validity of averaging and the uniform approximation of elbow orbits, with an application to delayed passage through resonance. Zeitschrift für angewandte Mathematik und Physik. 39(4). 586–596. 3 indexed citations
15.
Murdock, James & Clark Robinson. (1980). Qualitative dynamics from asymptotic expansions: Local theory. Journal of Differential Equations. 36(3). 425–441. 20 indexed citations
16.
Murdock, James. (1978). On the Floquet problem for quasiperiodic systems. Proceedings of the American Mathematical Society. 68(2). 179–184. 10 indexed citations
17.
Murdock, James. (1977). Nested attractors near nonlinear centers. Journal of Differential Equations. 25(1). 115–129. 1 indexed citations
18.
Murdock, James. (1975). Resonance capture in certain nearly Hamiltonian systems. Journal of Differential Equations. 17(2). 361–374. 7 indexed citations
19.
Murdock, James. (1975). Nearly hamiltonian systems in two degrees of freedom. International Journal of Non-Linear Mechanics. 10(6). 259–270. 2 indexed citations
20.
Murdock, James. (1973). Generalised E-Invariants and the Chern Character. Journal of the London Mathematical Society. s2-6(4). 649–655. 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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