Funded mathematics PhD position - Designing the dynamics of coupled oscillators University of Exeter<https://www.exeter.ac.uk/>, UK Supervisors: - Dr Christian Bick<http://empslocal.ex.ac.uk/people/staff/cb618/> - Dr Kyle Wedgwood <http://emps.exeter.ac.uk/mathematics/staff/kcaw201> The University of Exeter's College of Engineering, Mathematics and Physical Sciences is inviting applications for a fully-funded PhD studentship to commence in September 2018 or as soon as possible thereafter. For eligible students the studentship will cover tuition fees in full plus an annual tax-free stipend of at least £14,777 for 3.5 years full-time, or pro rata for part-time study. The student would be based in the Department of Mathematics in the College of Engineering, Mathematics and Physical Sciences in Exeter. Networks of interacting oscillatory units are abundant in nature and technology. Their function and dynamics governs crucial aspects of our lives, ranging from the stability of power grids to the dynamics of the human brain. The dynamics of oscillator networks depends on (1) which oscillators interact with which other oscillator and (2) how oscillators interact with one another. This project will contribute to the question how the interplay between these two factors shape the network dynamics. The main aim of this PhD project is to develop theoretical and numerical approaches how oscillator networks can be designed to have specific interactions. This will allow to generate networks that exhibit a range of synchronized and locally synchronized dynamics. Moreover, the supervisor is currently collaborating with the experimental group of Istvan Z Kiss in St Louis (USA) who are working on electrochemical oscillators. Hence, there may be an opportunity to help implement the theoretical results in real-world experimental systems. The studentship will be awarded on the basis of merit for 3.5 years of full-time study to commence in September 2018 or on a mutually agreed date as soon as possible thereafter, and is subject to confirmation of funding. For full details please see the PhD advert<https://www.exeter.ac.uk/studying/funding/award/?id=3189>. If you have any questions, please get in touch with Dr Christian Bick<http://empslocal.ex.ac.uk/people/staff/cb618/> or Dr Kyle Wedgwood. <http://emps.exeter.ac.uk/mathematics/staff/kcaw201>