Paul Glendinning

3.2k total citations
99 papers, 2.0k citations indexed

About

Paul Glendinning is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Paul Glendinning has authored 99 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 80 papers in Statistical and Nonlinear Physics, 39 papers in Mathematical Physics and 36 papers in Geometry and Topology. Recurrent topics in Paul Glendinning's work include Quantum chaos and dynamical systems (56 papers), Chaos control and synchronization (49 papers) and Mathematical Dynamics and Fractals (38 papers). Paul Glendinning is often cited by papers focused on Quantum chaos and dynamical systems (56 papers), Chaos control and synchronization (49 papers) and Mathematical Dynamics and Fractals (38 papers). Paul Glendinning collaborates with scholars based in United Kingdom, United States and New Zealand. Paul Glendinning's co-authors include Colin Sparrow, Nikita Sidorov, Jason A. C. Gallas, Renato Vitolo, J. M. Gambaudo, C. Tresser, Mike R. Jeffrey, J. Stark, Piotr Kowalczyk and Toby Hall and has published in prestigious journals such as Annals of the New York Academy of Sciences, Proceedings of the Royal Society B Biological Sciences and Physics Letters A.

In The Last Decade

Paul Glendinning

96 papers receiving 1.9k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paul Glendinning United Kingdom 20 1.1k 815 402 395 126 99 2.0k
Hinke M. Osinga United Kingdom 29 1.8k 1.6× 1.3k 1.6× 311 0.8× 357 0.9× 119 0.9× 115 2.6k
Ian Melbourne United Kingdom 30 1.9k 1.7× 1.1k 1.3× 1.0k 2.6× 410 1.0× 193 1.5× 106 3.3k
Helena E. Nusse United States 23 1.8k 1.6× 862 1.1× 512 1.3× 493 1.2× 58 0.5× 50 2.6k
S. P. Hastings United States 24 835 0.7× 705 0.9× 358 0.9× 223 0.6× 156 1.2× 91 1.9k
Hüseyin Koçak United States 22 936 0.8× 424 0.5× 182 0.5× 187 0.5× 147 1.2× 91 2.3k
Henk Broer Netherlands 27 1.6k 1.4× 716 0.9× 398 1.0× 491 1.2× 42 0.3× 98 2.0k
C. Tresser France 23 1.7k 1.5× 1.4k 1.7× 579 1.4× 304 0.8× 107 0.8× 60 2.5k
Kathleen T. Alligood United States 11 1.1k 1.0× 620 0.8× 355 0.9× 152 0.4× 44 0.3× 18 2.0k
Peter Szmolyan Austria 20 1.2k 1.1× 1.0k 1.2× 161 0.4× 252 0.6× 203 1.6× 50 1.9k
D.S. Mazel United States 7 1.4k 1.2× 917 1.1× 382 1.0× 339 0.9× 243 1.9× 20 3.1k

Countries citing papers authored by Paul Glendinning

Since Specialization
Citations

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

Fields of papers citing papers by Paul Glendinning

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Glendinning

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Glendinning. A scholar is included among the top collaborators of Paul Glendinning 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 Paul Glendinning. Paul Glendinning 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.
Glendinning, Paul, et al.. (2023). Piecewise Smooth Models of Pumping a Child's Swing. SIAM Review. 65(3). 887–902. 1 indexed citations
2.
Glendinning, Paul & David J. W. Simpson. (2023). Unstable dimension variability and heterodimensional cycles in the border-collision normal form. Physical review. E. 108(2). L022202–L022202.
3.
Biga, Veronica, Ximena Soto, Daniel Han, et al.. (2021). A dynamic, spatially periodic, micro‐pattern of HES5 underlies neurogenesis in the mouse spinal cord. Molecular Systems Biology. 17(5). e9902–e9902. 18 indexed citations
4.
Glendinning, Paul & David J. W. Simpson. (2020). A constructive approach to robust chaos using invariant manifolds and expanding cones. Discrete and Continuous Dynamical Systems. 41(7). 3367–3387. 13 indexed citations
5.
Glendinning, Paul & Mike R. Jeffrey. (2019). An Introduction to Piecewise Smooth Dynamics. CERN Document Server (European Organization for Nuclear Research). 17 indexed citations
6.
Glendinning, Paul. (2018). Shilnikov chaos, Filippov sliding and boundary equilibrium bifurcations. European Journal of Applied Mathematics. 29(5). 757–777. 20 indexed citations
7.
Glendinning, Paul. (2015). Bifurcation from stable fixed point toN-dimensional attractor in the border collision normal form. Nonlinearity. 28(10). 3457–3464. 9 indexed citations
8.
Goodfellow, Marc & Paul Glendinning. (2013). Mechanisms of Intermittent State Transitions in a Coupled Heterogeneous Oscillator Model of Epilepsy. PubMed. 3(1). 17–17. 19 indexed citations
9.
Oteo, J A, et al.. (2013). Lyapunov exponent and topological entropy plateaus in piecewise linear maps. Journal of Physics A Mathematical and Theoretical. 46(12). 125101–125101. 6 indexed citations
10.
Glendinning, Paul & Mike R. Jeffrey. (2012). Grazing-sliding bifurcations, the border collision normal form, and the curse of dimensionality for nonsmooth bifurcation theory. Nonlinearity. 5 indexed citations
11.
Liao, Ke, Giovanni Bertolini, Paul Glendinning, et al.. (2011). Visual and vestibular determinants of the translational vestibulo‐ocular reflex. Annals of the New York Academy of Sciences. 1233(1). 263–270. 7 indexed citations
12.
Glendinning, Paul. (2011). Two-ball Newton's cradle. Physical Review E. 84(6). 67201–67201. 7 indexed citations
13.
Vitolo, Renato, Paul Glendinning, & Jason A. C. Gallas. (2011). Global structure of periodicity hubs in Lyapunov phase diagrams of dissipative flows. Physical Review E. 84(1). 16216–16216. 69 indexed citations
14.
Glendinning, Paul, Piotr Kowalczyk, & Arne Nordmark. (2011). Multiple attractors in grazing-sliding bifurcations in an explicit example of a Filippov type flow. MIMS EPrints (University of Southampton). 2 indexed citations
15.
Glendinning, Paul, et al.. (2009). Border collision bifurcations, snap-back repellers, and chaos. Physical Review E. 79(2). 25202–25202. 9 indexed citations
16.
Glendinning, Paul, J. Abshagen, & T. Mullin. (2001). Imperfect homoclinic bifurcations. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 64(3). 36208–36208. 21 indexed citations
17.
Glendinning, Paul. (1998). Intermittency and strange nonchaotic attractors in quasi-periodically forced circle maps. Physics Letters A. 244(6). 545–550. 7 indexed citations
18.
Glendinning, Paul. (1997). Inaccessible attractors of weakly dissipative systems. Nonlinearity. 10(2). 507–522. 2 indexed citations
19.
Veitch, Darryl & Paul Glendinning. (1990). Explicit renormalisation in piecewise linear bimodal maps. Physica D Nonlinear Phenomena. 44(1-2). 149–167. 15 indexed citations
20.
Glendinning, Paul. (1987). Travelling wave solutions near isolated double-pulse solitary waves of nerve axon equations. Physics Letters A. 121(8-9). 411–413. 8 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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