Ralph Willox

1.6k total citations
68 papers, 1.1k citations indexed

About

Ralph Willox is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Ralph Willox has authored 68 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Statistical and Nonlinear Physics, 36 papers in Geometry and Topology and 9 papers in Algebra and Number Theory. Recurrent topics in Ralph Willox's work include Nonlinear Waves and Solitons (52 papers), Algebraic structures and combinatorial models (29 papers) and Nonlinear Photonic Systems (27 papers). Ralph Willox is often cited by papers focused on Nonlinear Waves and Solitons (52 papers), Algebraic structures and combinatorial models (29 papers) and Nonlinear Photonic Systems (27 papers). Ralph Willox collaborates with scholars based in Japan, France and Belgium. Ralph Willox's co-authors include A. Ramani, B. Grammaticos, J. J. C. Nimmo, Junkichi Satsuma, C. R. Gilson, Ignace Loris, Franklin Lambert, A. S. Cârstea, Tetsuji Tokihiro and Jarmo Hietarinta and has published in prestigious journals such as SHILAP Revista de lepidopterología, Physics Letters A and Journal of the Physical Society of Japan.

In The Last Decade

Ralph Willox

63 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ralph Willox Japan 16 862 459 237 133 115 68 1.1k
A. S. Cârstea Romania 11 371 0.4× 189 0.4× 169 0.7× 129 1.0× 61 0.5× 42 582
Elizabeth L. Mansfield United Kingdom 17 702 0.8× 194 0.4× 138 0.6× 46 0.3× 96 0.8× 38 885
Sebastian Walcher Germany 19 469 0.5× 399 0.9× 187 0.8× 266 2.0× 42 0.4× 89 1.1k
Renat Zhdanov Ukraine 18 1.0k 1.2× 233 0.5× 312 1.3× 49 0.4× 138 1.2× 67 1.2k
Roman Cherniha Ukraine 19 645 0.7× 104 0.2× 477 2.0× 305 2.3× 33 0.3× 83 1.1k
Mykola Serov Ukraine 13 491 0.6× 85 0.2× 179 0.8× 96 0.7× 56 0.5× 29 641
M.L. Gandarias Spain 20 1.5k 1.7× 355 0.8× 436 1.8× 88 0.7× 151 1.3× 170 1.7k
Rehana Naz Pakistan 15 514 0.6× 127 0.3× 229 1.0× 78 0.6× 30 0.3× 66 734
Jacky Cresson France 15 321 0.4× 79 0.2× 359 1.5× 76 0.6× 55 0.5× 59 719

Countries citing papers authored by Ralph Willox

Since Specialization
Citations

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

Fields of papers citing papers by Ralph Willox

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ralph Willox

This figure shows the co-authorship network connecting the top 25 collaborators of Ralph Willox. A scholar is included among the top collaborators of Ralph Willox 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 Ralph Willox. Ralph Willox 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.
Ramani, A., B. Grammaticos, A. S. Cârstea, & Ralph Willox. (2025). Obtaining the growth of higher order mapping through the study of singularities. Journal of Physics A Mathematical and Theoretical. 58(11). 115201–115201.
2.
Shi, Yang, et al.. (2025). What Is the Symmetry Group of a d-PII Discrete Painlevé Equation?. Mathematics. 13(7). 1123–1123.
3.
Willox, Ralph, et al.. (2025). Deautonomisation by Singularity Confinement and Degree Growth. Journal of Geometric Analysis. 35(2).
4.
Willox, Ralph, et al.. (2024). Singularities and growth of higher order discrete equations. SHILAP Revista de lepidopterología. Proceedings: OCNMP.... 1 indexed citations
5.
Grammaticos, B. & Ralph Willox. (2023). Full-deautonomisation of a class of second-order mappings in ancillary form. SHILAP Revista de lepidopterología. Volume 3. 1 indexed citations
6.
Willox, Ralph, et al.. (2018). Integrable mappings and the notion of anticonfinement. Journal of Physics A Mathematical and Theoretical. 51(26). 265201–265201. 6 indexed citations
7.
Ramani, A., et al.. (2017). Calculating the algebraic entropy of mappings with unconfined\n singularities. arXiv (Cornell University). 4 indexed citations
8.
Colin, Samuel, Thomas Durt, & Ralph Willox. (2016). Crucial tests of macrorealist and semiclassical gravity models with freely falling mesoscopic nanospheres. Physical review. A. 93(6). 10 indexed citations
9.
Willox, Ralph, A. Ramani, & B. Grammaticos. (2014). Solutions of the lattice sine–Gordon equation and the solitons of its cellular automaton. Journal of Physics A Mathematical and Theoretical. 47(12). 125202–125202. 1 indexed citations
10.
Grammaticos, B., A. Ramani, & Ralph Willox. (2013). A sine-Gordon cellular automaton and its exotic solitons. Journal of Physics A Mathematical and Theoretical. 46(14). 145204–145204. 2 indexed citations
11.
Ramani, A., B. Grammaticos, & Ralph Willox. (2010). Generalized QRT mappings with periodic coefficients. Nonlinearity. 24(1). 113–126. 13 indexed citations
12.
Grammaticos, B., A. Ramani, Junkichi Satsuma, & Ralph Willox. (2005). Reductions of Integrable Lattices. Journal of Nonlinear Mathematical Physics. 12(Supplement 1). 363–363. 24 indexed citations
13.
Willox, Ralph. (2005). ON A GENERALIZED TZITZEICA EQUATION. Glasgow Mathematical Journal. 47(A). 221–231. 14 indexed citations
14.
Ramani, A., A. S. Cârstea, Ralph Willox, & B. Grammaticos. (2003). Oscillating epidemics: a discrete-time model. Physica A Statistical Mechanics and its Applications. 333. 278–292. 43 indexed citations
15.
Cârstea, A. S., A. Ramani, Ralph Willox, & B. Grammaticos. (2003). The discrete Painlev  II equations: Miura and auto-B cklund transformations. Journal of Physics A Mathematical and General. 36(31). 8419–8431. 4 indexed citations
16.
Willox, Ralph, et al.. (2002). On various solutions of the coupled KP equation. Journal of Physics A Mathematical and General. 35(32). 6893–6909. 35 indexed citations
17.
Willox, Ralph, I. Αντωνίου, & Jacob Levitan. (1997). Decay of correlations and control of chaotic billiards. Computers & Mathematics with Applications. 34(2-4). 391–398. 2 indexed citations
18.
Willox, Ralph, Tetsuji Tokihiro, & Junkichi Satsuma. (1997). Darboux and binary Darboux transformations for the nonautonomous discrete KP equation. Journal of Mathematical Physics. 38(12). 6455–6469. 25 indexed citations
19.
Willox, Ralph, Willy Hereman, & Frank Verheest. (1995). Complete integrability of a modified vector derivative nonlinear Schrödinger equation. Physica Scripta. 52(1). 21–26. 13 indexed citations
20.
Gilson, C. R., J. J. C. Nimmo, & Ralph Willox. (1993). A (2 + 1)-dimensional generalization of the AKNS shallow water wave equation. Physics Letters A. 180(4-5). 337–345. 51 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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