I am seeking to recruit a student who is keen to work on industrial applications of nonlinear dynamics. They are expected to have a good degree (first or upper second) in a related subject, for example, applied mathematics, physics or engineering. The project is centred around investigating the nonlinear dynamics of physical experiments; in this case, the dynamics and bifurcations of rotating machinery. The project will combine ideas from nonlinear dynamics, control theory and numerical analysis to extract the required information from the physical experiment in real-time. Experience in one (or more) of these areas is ideal but not necessary as training will be given.
For start of this project, a specific engineering experiment has been constructed (a rotor rig) but the methodology being developed is applicable to a wide range of areas, from engineering to biological systems. Any controllable experiment that exhibits nonlinear behaviour could potentially benefit.
This project is funded by an EPSRC iCASE award meaning that the studentship pays the standard EPSRC rate of £14,296 plus an industrial top-up of around £5,000 (to be confirmed). The studentship is open to any UK/EU student who has been normally resident in the UK for 3 years (see the EPSRC eligibility requirements at ).
For more information please send a short email to Dr David Barton firstname.lastname@example.org outlining your academic background (i.e., current/most recent degree).
Breaking news: PhD studentships (scholarships) available for UK and EU* students in the Department of Engineering Mathematics at the University of Bristol for immediate start.
Due to a number of students withdrawing for personal reasons, there are now several PhD studentships available that must be taken up by September 2016. I am looking for motivated and able students who are interested in doing research at the intersection of Applied Mathematics and Engineering/Science (my interests are quite broad!). In particular, I have three different topics that I’m actively pursuing at the moment all of which feature numerical computation/numerical analysis:
- Nonlinear dynamics of stochastic differential equations — I’m interested in investigating how the tools and concepts of nonlinear dynamics and bifurcation theory can be applied to stochastic differential equations arising from various application areas (e.g., neuroscience or climate science).
- Control-based continuation — numerical continuation is a very effective tool for investigating the nonlinear behaviour and bifurcations of mathematical models, and control-based continuation is a means for applying this tool to physical experiments (engineered systems or, hopefully, biological systems) without the need for a mathematical model. Research in this area requires a very interesting mix of numerical analysis, control theory, system identification and the theory of stochastic processes (I don’t expect students to have a background in all of these subjects!).
- Equation-free methods and agent-based modelling — equation-free methods are a means for obtaining a macroscopic model from microscopic simulations. They have been used for many physical processes previously and I am interested in how they can be extended to agent-based models, such as models of Zebrafish locomotion to investigate the dynamics of shoaling (Zebrafish are just one example).
I have also worked extensively with delay differential equations and, though I don’t have any active work in this area at the moment, I’m happy to solicit project suggestions in this area. All of these projects are very open ended and I’m happy to work with students to tailor the projects to their own interests.
There is no deadline for these studentships, though obviously it’s better to apply sooner rather than later. If you are interested, get in touch for more information.
* EU students are eligible provided they have been resident in the UK for at least 3 years. See the EPSRC website for more details.
This is a shameless plug for UCAS admissions the Engineering Mathematics Department at Bristol — I am the new admissions tutor after all…
If you are interested in studying mathematics and want to learn how it can be used for real-world problem solving then you should check out the Engineering Mathematics integrated Masters (MEng) and Bachelors (BEng) programmes. We’re quite unlike traditional mathematics courses in that we don’t teach mathematics for the sake of it but we focus on the skills you need to work in high tech industries such as Engineering and the Bio-sciences. That said, we don’t short change you on the mathematics — if you are going to be a problem solver you are going to need abilities that come from studying high calibre mathematics to get the job done!
Oh, and if you are looking for postgraduate studies (that is, a PhD) rather than undergraduate, please see my page for prospective students.
PS: Bristol is a great city to be in!