Dynamical systems are systems which evolve over time according to fixed rules.
They can be used to mathematically model a wide range of natural phenomena, including celestial mechanics, plasma physics, atomic physics, and the dynamics of chemical reactions.
The dynamical systems group at Loughborough studies a wide range of aspects of dynamical systems theory, such as Hamiltonian and dissipative dynamics, dynamical chaos in classical and quantum systems, dynamics of multi-scale systems, ergodic theory, random matrix theory, and bifurcation theory.
Yuyang Gao: Perturbations of integrable systems (Supervised by Prof. A. Neishtadt)
Andrew Larkin: Random Dynamical Systems and Random Towers (Supervised by Dr. W. Bahsoun and Dr. B. Winn)