Dynamical Systems

Dynamical systems are systems which evolve over time according to fixed rules.

Lorenz
Image was created by B. Winn (Loughborough) (after E. Lorenz).

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.

Dynamical systems seminars

School on smooth ergodic theory

Dynamics Days Europe 2018

Professor Wael Bahsoun

Ergodic Theory, Dynamical Systems, Random Dynamical Systems, applications in finance.

Dr Thomas Bartsch

Dynamical foundations of Transition State Theory: description of chemical reactions. Semiclassical quantization of multidimensional chaotic systems. Theory of atomic spectra in external fields.

Professor Anatoly Neishtadt

Applied dynamical systems, perturbation theory, averaging method, adiabatic invariants, bifurcation theory, problems with slow and fast motions in celestial mechanics, dynamics of charged particles and hydrodynamics.

Dr Brian Winn

Quantum chaos; Semi-classical structures in wave-functions, spectral statistics; Quantum graphs; Random Matrix Theory.

Dr Simon Baker

Dynamical Systems; Fractal Geometry; Number Theory

Alexey Korepanov

Ergodic theory and dynamical systems

Amlan Banaji

  • Yuyang Gao: Perturbations of integrable systems (Supervised by Dr. A. Bolsinov and Prof. A. Neishtadt)

  • Ana Pascual Cobo: Ergodic Theory (Supervised by Wael Bahsoun)