Dynamical Systems

The mathematical theory of dynamical systems is mature and vital part of modern mathematics, where new theoretical developments have been inspired by applications, just as new developments in pure mathematics have quickly found dynamical applications. Because of this, this area forms a strong bridge between pure and applied mathematics. Specific areas of active research in the centre include:

Chaotic and deterministic behaviour, Nonautonomous and random dynamical systems, Bifurcation theory, Ergodic theory, Differential equations, Dynamics with symmetries.

For example, theoretical results on non-autonomous systems and extremes have found applications in Climate Research. Results on stochastic effects, bifurcations, networks and pattern formation underpin research in the EPSRC Centre for Predictive Modelling in Healthcare.

Resaearch interests of academic staff in this area include:

Professor Peter Ashwin Bifurcation theory and ergodic approaches to chaotic systems, symmetry
Dr Christian Bick Coupled and network dynamical systems
Professor Vadim N Biktashev Singular perturbation theory for PDEs and dynamical systems
Professor Mark Holland Statistical properties of chaotic attractors, extremes
Dr Ana Rodrigues Low-dimensional dynamics, ergodic theory, systems with symmetry
Professor Jan Sieber Bifurcation theory, continuation, delay differential equations