Academic and Research Staff:
Dr Ozgur Akman, Professor Peter Ashwin, Dr Hartmut Erzgräber, Dr Mark Holland, Dr Orkun Soyer, Professor Stuart Townley, Dr Sebastian Wieczorek
Associated Staff:
Dominic McCarthy, Dr Renato Vitolo, Dr Khurram Wadee
Honorary Staff:
Professor Mike Field, Dr Alejandra Gonzalez-Enriquez, Dr Iakovos Matsikis
PhD Students:
Abul Kalam Al-Azad, Anastasios Argyropolous, Nicholas Blackbeard, Heather Burgess, Victoria Crockett, Hanan Dreiwi, Aiman Elragig, Ozkan Karabacak, Congping Lin, Jorge Vazquez-Diosdado, John Wordsworth, Yiwei Zhang
Link with publications of CSDC members
Complex Systems Theory
The world is full of complexity and it is the work of scientists to come to grips with complexity and reduce it to understandable elements. Historically this has progressed by a reductionist approach, where a system is reduced to its component parts until a good understanding has been obtained. Complex Systems Theory is about putting the parts back together to understand the whole system better. Mathematics and computer modelling are essential tools to do this, and can help one understand emergent phenomena that arise from the whole system.
Dynamical Systems
Dynamical systems theory is concerned with the mathematical description and characterisation of the time evolution of dynamical systems. In particular, non-linear dynamical systems, where small perturbations can have large impacts, exhibit very rich and complicated dynamical behaviour. In our group we develop new models and use advanced mathematical methods to characterise the dynamics. For many applications in engineering, physics and biology this is essential for understanding and predicting the dynamical behaviour. Aspects include stability theory, bifurcation theory, chaotic and complex systems theory.
Control Theory
Control Theory is concerned with controlling dynamical systems by influencing the inputs to the system. This means addressing issues of optimality, stability or robustness. Control Theory has its origins and applications in a variety of technological applications such as control of aeroplanes, robot arms and sewage processes. It is also a matured mathematical discipline which draws on various aspects from applied analysis. Recent developments include the control of non-linear dynamical systems, such as time-delayed feedback in laser systems.
Postgraduate Research
We welcome enquiries from propective PhD students. Follow this link to see some possible PhD research topics. You can find out more about other possible projects under the personal webpages of the group members.