
Professor David Barton
M.Eng.(Bristol), Ph.D. (Bristol)
Current positions
Professor of Computational and Experimental Mathematics
School of Engineering Mathematics and Technology
Contact
Press and media
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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).
Projects and supervisions
Research projects
Attractors in random dynamical systems with bounded noise: continuation, bifurcation and numerical methods
Principal Investigator
Managing organisational unit
School of Engineering Mathematics and TechnologyDates
01/03/2024 to 28/02/2027
Network Rail - Inerter Pantograph for Cost-Efficient Railway Electrification (iPanto)
Principal Investigator
Role
Co-Investigator
Description
Unsatisfactory Pantograph-Overhead Line (OHL) contact dynamics is a critical factor for the extremely high railway maintenance and electrification cost in the UK (Network Rail spending £4.2bn/year on maintenance/renewal its network…Managing organisational unit
Department of Mechanical EngineeringDates
01/01/2022 to 31/12/2024
Next-generation test methods for nonlinear structures (new)
Principal Investigator
Managing organisational unit
Department of Engineering MathematicsDates
01/06/2017 to 30/11/2020
Fellowship - Ludovic Renson
Principal Investigator
Managing organisational unit
Department of Engineering MathematicsDates
01/05/2016 to 30/04/2018
Systematic experimental exploration of nonlinear structures with control-based continuation
Principal Investigator
Managing organisational unit
Department of Engineering MathematicsDates
01/09/2013 to 01/09/2015
Thesis supervisions
Design Trade-off Analysis and Optimisation of a High-density Active Shunt Regulator for Aircraft
Supervisors
Tactile Perception and Control of a Soft Shear-Sensitive Optical Tactile Sensor
Supervisors
Feeling the Way
Supervisors
Bifurcation-based Ordinary Differential Equation Model Identification
Supervisors
Interacting with a Handheld Robot
Supervisors
Publications
Recent publications
14/07/2024Volume and Power Loss Optimization Tool for N-level Half-bridge Sub-module Modular Multilevel Converters with Filter Inclusion Assessment Capabilities
2024 IEEE 10th International Power Electronics and Motion Control Conference, IPEMC 2024 ECCE Asia
Real-time hybrid testing using iterative control for periodic oscillations
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Extending Contextual Self-Modulation
Extending Contextual Self-Modulation
Neural Context Flows for Learning Generalizable Dynamical Systems
Neural Context Flows for Learning Generalizable Dynamical Systems