Ferdinand Verhulst

6.9k total citations · 3 hit papers
91 papers, 4.1k citations indexed

About

Ferdinand Verhulst is a scholar working on Statistical and Nonlinear Physics, Computer Networks and Communications and Numerical Analysis. According to data from OpenAlex, Ferdinand Verhulst has authored 91 papers receiving a total of 4.1k indexed citations (citations by other indexed papers that have themselves been cited), including 52 papers in Statistical and Nonlinear Physics, 30 papers in Computer Networks and Communications and 11 papers in Numerical Analysis. Recurrent topics in Ferdinand Verhulst's work include Quantum chaos and dynamical systems (37 papers), Nonlinear Dynamics and Pattern Formation (30 papers) and Nonlinear Photonic Systems (15 papers). Ferdinand Verhulst is often cited by papers focused on Quantum chaos and dynamical systems (37 papers), Nonlinear Dynamics and Pattern Formation (30 papers) and Nonlinear Photonic Systems (15 papers). Ferdinand Verhulst collaborates with scholars based in Netherlands, United States and Canada. Ferdinand Verhulst's co-authors include Jan A. Sanders, James Murdock, Wiktor Eckhaus, Fadi Dohnal, Bob Rink, A. Tondl, Siti Fatimah, Daan Crommelin, J. D. Opsteegh and Igor Hoveijn and has published in prestigious journals such as SHILAP Revista de lepidopterología, Monthly Notices of the Royal Astronomical Society and Journal of the Atmospheric Sciences.

In The Last Decade

Ferdinand Verhulst

83 papers receiving 3.8k citations

Hit Papers

Averaging Methods in Nonlinear Dynamical Systems 1985 2026 1998 2012 1985 1990 2007 250 500 750 1000
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
    1985 1.1k citations Ferdinand Verhulst et al. profile →
  2. Nonlinear Differential Equations and Dynamical Systems
    1990 759 citations Ferdinand Verhulst profile →
  3. Averaging Methods in Nonlinear Dynamical Systems
    2007 736 citations Ferdinand Verhulst et al. profile →

Peers

Ferdinand Verhulst
Eusebius J. Doedel Canada
Chris Budd United Kingdom
Jan A. Sanders Netherlands
Gérard Iooss France
Björn Sandstede United States
W. Govaerts Belgium
Richard H. Rand United States
D.S. Mazel United States
David G. Schaeffer United States
Alexander Mielke Germany
Eusebius J. Doedel Canada
Ferdinand Verhulst
Citations per year, relative to Ferdinand Verhulst Ferdinand Verhulst (= 1×) peers Eusebius J. Doedel

Countries citing papers authored by Ferdinand Verhulst

Since Specialization
Citations

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

Fields of papers citing papers by Ferdinand Verhulst

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ferdinand Verhulst

This figure shows the co-authorship network connecting the top 25 collaborators of Ferdinand Verhulst. A scholar is included among the top collaborators of Ferdinand Verhulst 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 Ferdinand Verhulst. Ferdinand Verhulst 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.
Verhulst, Ferdinand. (2023). A Toolbox of Averaging Theorems. 4 indexed citations
2.
Verhulst, Ferdinand, et al.. (2022). From A.Tondl's Dutch contacts to Neimark-Sacker-bifurcation. SHILAP Revista de lepidopterología. 16(2). 1 indexed citations
3.
Verhulst, Ferdinand, et al.. (2021). Recurrent canards producing relaxation oscillations. Chaos An Interdisciplinary Journal of Nonlinear Science. 31(2). 23121–23121. 3 indexed citations
4.
Bruggeman, Roelof W. & Ferdinand Verhulst. (2018). Near-Integrability and Recurrence in FPU Chains with Alternating Masses. Journal of Nonlinear Science. 29(1). 183–206. 8 indexed citations
5.
Verhulst, Ferdinand. (2016). Regular and chaotic recurrence in FPU cell-chains. Applied Mathematical Modelling. 46. 763–770. 1 indexed citations
6.
Verhulst, Ferdinand. (2015). A chain of FPU cells. Data Archiving and Networked Services (DANS). 603–612. 2 indexed citations
7.
Verhulst, Ferdinand. (2014). The hunt for canards in population dynamics: A predator–prey system. International Journal of Non-Linear Mechanics. 67. 371–377. 4 indexed citations
8.
Verhulst, Ferdinand, et al.. (2012). THE DYNAMICS OF SLOW MANIFOLDS. SHILAP Revista de lepidopterología. 73–90. 4 indexed citations
9.
Meijer, Hil G. E., et al.. (2009). Emergence and Bifurcations of Lyapunov Manifolds in Nonlinear Wave Equations. Journal of Nonlinear Science. 19(5). 571–596. 1 indexed citations
10.
Verhulst, Ferdinand. (2007). Singular perturbation methods for slow–fast dynamics. Nonlinear Dynamics. 50(4). 747–753. 46 indexed citations
11.
Verhulst, Ferdinand. (2007). PERIODIC SOLUTIONS AND SLOW MANIFOLDS. International Journal of Bifurcation and Chaos. 17(8). 2533–2540. 11 indexed citations
12.
Verhulst, Ferdinand. (2002). Parametric and Autoparametric Resonance. Acta Applicandae Mathematicae. 70(1-3). 231–264. 11 indexed citations
13.
Rink, Bob & Ferdinand Verhulst. (2000). Near-integrability of periodic FPU-chains. Physica A Statistical Mechanics and its Applications. 285(3-4). 467–482. 30 indexed citations
14.
Verhulst, Ferdinand. (1997). Symmetry and integrability in Hamiltonian normal forms. Data Archiving and Networked Services (DANS). 15 indexed citations
15.
Verhulst, Ferdinand, et al.. (1987). The thermal stability of coronal loops by nonlinear diffusion asymptotics. NASA Technical Reports Server (NASA). 179. 285–293. 2 indexed citations
16.
Verhulst, Ferdinand, et al.. (1984). Asymptotic Integrability and Periodic Solutions of a Hamiltonian System in $1:2:2$-Resonance. SIAM Journal on Mathematical Analysis. 15(5). 890–911. 16 indexed citations
17.
Verhulst, Ferdinand. (1983). Asymptotic analysis II : surveys and new trends. Lecture notes in mathematics. 13 indexed citations
18.
Verhulst, Ferdinand. (1979). Discrete symmetric dynamical systems at the main resonances with application to axi-symmetric galaxies. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 290(1375). 435–465. 62 indexed citations
19.
Verhulst, Ferdinand. (1979). Asymptotic analysis from theory to application. CERN Document Server (European Organization for Nuclear Research). 2 indexed citations
20.
Verhulst, Ferdinand. (1969). Two-body problem with decreasing mass: the autonomous case. 20. 215. 3 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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