The Manchester Centre for Nonlinear Dynamics is comprised of researchers from the School of Mathematics and the School of Physics and Astronomy at the University of Manchester. Research within the group is based upon the application of a combined approach of theoretical modelling, computation and detailed quantitative experimental investigations of nonlinear phenomena.
Numerical bifurcation tracking.
Contours of axial velocity for the flow past a cylindrical obstacle in a channel (top). A Hopf bifurcation occurs at Re ≈ 92, and the contours of the axial velocity for the critical eigenfunction (bottom) illustrate the complex downstream structure that must be resolved to accurately determine the location of the bifurcation.
Granular fingering and segregation-mobility feedback
A bidisperse granular avalanche exhibits a frontal instability which evolves into levee-channelised 'fingers'.
Pattern-switching in elastic media.
A pattern switch induced by the compression of a two-dimensional elastic foam. A square array of holes is transformed into an array of ellipses with their major axes arranged in orthogonal directions.
Attractors from Taylor-Couette flow.
The left one is from a quasiperiodic flow and the right one from a chaotic flow.
Bubble oscillation in a constricted tube.
The propagation of an air bubble into a constricted channel initially filled by a viscous fluid can lead to oscillations with a well defined spatial period. Read more...