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. Research undertaken at the centre is at the forefront of developing and applying new mathematical results in a range of applications. Specific areas of active research in the centre include:
- Chaotic and deterministic behaviour
- Bifurcation theory
- Ergodic theory
- Differential equations
- Dynamics with symmetries
Academic staff in mathematics with research interests in this area include:
| Professor Peter Ashwin | Bifurcation theory and ergodic approaches to chaotic systems, symmetry |
| Professor Vadim N Biktashev | Singular perturbation theory for dynamical systems |
| Dr Mark Holland | Statistical properties of chaotic attractors, extremes |
| Dr Ana Rodrigues | Low-dimensional dynamics, ergodic theory, systems with symmetry |
| Dr Jan Sieber | Bifurcation theory, continuation, delay differential equations |
Honorary staff associated with the centre with research interests in this area include:
- Dr Alejandra Gonzalez-Enriquez
- Professor Mike Field
- Professor Chris K. R. T. Jones
- Dr Renato Vitolo
- Dr Martin Krupa
For more information, contact Professor Peter Ashwin.
