Research output per year

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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).

Structured keywords and research groupings

  • Engineering Education Research Group

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Research Output

Application of control-based continuation to a nonlinear structure with harmonically coupled modes

Renson, L., Shaw, A. D., Barton, D. & Neild, S., 1 Apr 2019, In : Mechanical Systems and Signal Processing. 120, p. 449-464 16 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
  • 3 Citations (Scopus)
    86 Downloads (Pure)

    Experimental bifurcation analysis of a wing profile

    Tartaruga, I., Barton, D. A. W., Rezgui, D. & Neild, S. A., 13 Sep 2019. 9 p.

    Research output: Contribution to conferenceConference Paper

    Open Access
  • Numerical Continuation in Nonlinear Experiments using Local Gaussian Process Regression

    Renson, L., Sieber, J., Barton, D., Shaw, A. & Neild, S., 8 Aug 2019, In : Nonlinear Dynamics. 16 p.

    Research output: Contribution to journalArticle (Academic Journal)

  • 2 Downloads (Pure)


    91st European Study Group with Industry

    David A W Barton (Organiser)

    15 Apr 201319 Apr 2013

    Activity: Participating in or organising an event typesParticipation in workshop, seminar, course

    Invited talk

    David A W Barton (Speaker)

    20 Nov 2012

    Activity: Participating in or organising an event typesInvited talk

    IMA Journal of Applied Mathematics (Journal)

    David A W Barton (Editorial board member)

    1 Nov 2012 → …

    Activity: Publication peer-review and editorial work typesEditorial activity


    Design Trade-off Analysis and Optimisation of a High-density Active Shunt Regulator for Aircraft

    Author: Wang, J., 25 Jun 2019

    Supervisor: Yuan, X. (Supervisor) & Barton, D. (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)