Dr David Barton

Summary

I have a broad range of research interests across the field of applied mathematics, but I focus particularly on engineering related applications of nonlinear dynamics. My specialities include

• mathematical modelling (mostly engineering related, but I enjoy broader challenges),
• the dynamics of nonlinear systems,
• systems with delay (mostly delay differential equations), and
• numerical methods for dynamical systems (particularly in the area of bifurcation analysis).

In the context of engineering, I also work on energy harvesting.

At the moment, I am looking to branch out into stochastic dynamics and, in particular, how traditional numerical algorithms for dynamical systems can be made to cope with stochastic systems.

If you are interested in working with me on any of these topics, please feel free to drop me an email.

Memberships

Organisations

Department of Engineering Mathematics

Other sites

• Engineering-mathematics

Research Groups

• Applied Nonlinear Mathematics
• Dynamics and Control
• Systems
• Applied Nonlinear Mathematics - Core

Links

•   Personal webpage

Selected publications

• Barton, D & Burrow, S 2011, ‘Numerical continuation in a physical experiment: investigation of a nonlinear energy harvester’. ASME Journal of Computational and Nonlinear Dynamics, vol 6., pp. 011010
• Barton, D, Burrow, S & Clare, L 2010, ‘Energy Harvesting From Vibrations With a Nonlinear Oscillator’. Journal of Vibration and Acoustics, vol 132.
• Barton, D 2009, ‘Stability calculations for piecewise-smooth delay equations’. International Journal of Bifurcation and Chaos, vol 19., pp. 639 - 650
• Barton, D, Krauskopf, B & Wilson, R 2007, ‘Homoclinic bifurcations in a neutral delay model of a transmission line oscillator’. Nonlinearity, vol 20 (4)., pp. 809 - 829

Read more >

Recent publications

• Cammarano, A, Burrow, S & Barton, D 2011, ‘Modelling and experimental characterization of an energy harvester with bi-stable compliance characteristics’. Journal of Systems and Control Engineering, vol 225 (4)., pp. 475 - 484
• Dombovari, Z, Barton, D, Wilson, R & Stepan, G 2011, ‘On the global dynamics of chatter in the orthogonal cutting model’. International Journal of Non-linear Mechanics, vol 46., pp. 330 - 338
• Cammarano, A, Burrow, S & Barton, D 2010, ‘An energy harvester with bistable compliance characteristics’. in: IDETC 2010, Montreal Canada.
• Cammarano, A, Burrow, S, Barton, D, Carrella, A & Clare, L 2010, ‘Tuning a resonant energy harvester using a generalized electrical load’. Smart Materials and Structures, vol 19 (5).
• Barton, D, Mann, P, Bria & Burrow, S 2010, ‘Control-based continuation for investigating nonlinear experiments’.
• Quinn, D, Burrow, S & Barton, D 2010, ‘The influence of power harvesting circuits on energy harvesting performance’. in: SPIE, San Diego, US, March 2010.

View complete publications list in the University of Bristol publications system

Courses

Dr Barton currently teaches 4 courses: