Research output per year
Research output per year
Personal profile
Research interests
I have a broad range of research interests across the field of applied mathematics, but I focus particularly on engineering related applications. My specialities include
- mathematical modelling (mostly engineering related, but I enjoy broader challenges and I’ve done some work in the bio-sciences),
- the dynamics of nonlinear systems,
- numerical methods for dynamical systems (particularly in the area of bifurcation analysis), and
- systems with delay (mostly delay differential equations).
At the moment, I am branching out into stochastic dynamics and, in particular, I’m looking the links between mathematical models and physical reality — can we use numerical methods designed to investigate mathematical models on physical experiments? (Answer: YES!)
If you are interested in working with me on any of these topics, please feel free to drop me an email (see my contact details).
Research Groups and Themes
- Engineering Education Research Group
- Engineering Mathematics Research Group
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Collaborations and top research areas from the last five years
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Research output
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Experimental investigation of nonlinear whirl-flutter in a 2-dof rotor-pylon system
Qiu, Y., Petkov, A., Barton, D. A. W. & Rezgui, D., 19 Jun 2026. 21 p.Research output: Contribution to conference › Conference Paper › peer-review
Open AccessFile47 Downloads (Pure) -
EXPERIMENTAL INVESTIGATION OF WHIRL FLUTTER USING A NOVEL 2 DOF SMALL-SCALE ROTOR-PYLON RIG
Petkov, A., Qiu, Y., Barton, D. A. W. & Rezgui, D., 18 Jun 2026. 27 p.Research output: Contribution to conference › Conference Paper
Open AccessFile36 Downloads (Pure) -
Locating isolas in nonlinear oscillator systems using uncertainty quantification
Hong, D., Barton, D. A. W. & Neild, S. A., 20 May 2026, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 482, 2338, p. 1-21 21 p., 20250939.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access
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Attractors in random dynamical systems with bounded noise: continuation, bifurcation and numerical methods
Barton, D. A. W. (Principal Investigator)
1/03/24 → 28/02/27
Project: Research
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Network Rail - Inerter Pantograph for Cost-Efficient Railway Electrification (iPanto)
Jiang, J. Z. (Principal Investigator), Li, Y. (Co-Investigator), Graham, M. S. (Co-Investigator), Titurus, B. (Co-Investigator), Neild, S. A. (Co-Investigator) & Barton, D. A. W. (Co-Investigator)
1/01/22 → 31/12/24
Project: Research
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Next-generation test methods for nonlinear structures (new)
Barton, D. A. W. (Principal Investigator)
1/06/17 → 30/11/20
Project: Research
Datasets
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Data for "Real-time hybrid testing using iterative control for periodic oscillations"
Barton, D. (Creator), Neild, S. (Creator), Rezgui, D. (Creator) & Beregi, S. (Creator), University of Bristol, 30 May 2024
DOI: 10.5523/bris.38u46si2df1xf28ugj0b7cm15z, http://data.bris.ac.uk/data/dataset/38u46si2df1xf28ugj0b7cm15z
Dataset
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Systematic experimental exploration of bifurcations with noninvasive control
Barton, D. (Creator), University of Bristol, 24 Nov 2020
DOI: 10.5523/bris.1ip5u4d1ca6qy27lpv08vnhd1x, http://data.bris.ac.uk/data/dataset/1ip5u4d1ca6qy27lpv08vnhd1x
Dataset
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Real-Time Hybrid Testing of Strut-Braced Wing Under Aerodynamic Loading Using an Electrodynamic Actuator
Neild, S. (Creator), Ruffini, V. (Creator), Lowenberg, M. (Creator), Szczyglowski, C. (Creator) & Barton, D. (Creator), University of Bristol, 19 Aug 2020
DOI: 10.5523/bris.3r79185tdczil24hfny9m1i7y6, http://data.bris.ac.uk/data/dataset/3r79185tdczil24hfny9m1i7y6
Dataset
Prizes
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Outstanding Presentation
Wang, K. (Recipient), Laird, I. (Recipient), Barton, D. A. W. (Recipient) & Jahdi, S. (Recipient), 9 May 2023
Prize: Prizes, Medals, Awards and Grants
Activities
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91st European Study Group with Industry
Barton, D. A. W. (Organiser)
15 Apr 2013 → 19 Apr 2013Activity: Participating in or organising an event types › Participation in workshop, seminar, course
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Invited talk
Barton, D. A. W. (Speaker)
20 Nov 2012Activity: Participating in or organising an event types › Invited talk
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IMA Journal of Applied Mathematics (Journal)
Barton, D. A. W. (Editorial board member)
1 Nov 2012 → …Activity: Publication peer-review and editorial work types › Editorial activity