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Applied Projects --- MATH3422/MATH3423/MATH5003/MATH5004

If a project has `X1' and/or `X2', then that project is already fully subscribed for semester 1 or 2 respectively for 2011-12. You should use this list as a guide - staff may be willing to supervise a project on a related topic. Note also that some projects may only be offered in one semester or the other.

Algebraic curves and nonlinear integrable differential equations - Dr O. Chalykh

Elliptic functions and applications - Dr O. Chalykh

Relaxation Shock Structures - Prof. S. Falle

Continuous Groups of Transformations and Symmetries of Differential Equations - Prof. A. Fordy

Nonlinear Iterations with Integer Sequences: The Laurent Property and Integrability - Prof. A. Fordy

X1 X2 Equatorial waves - Dr S. Griffiths

X1 X2 Internal waves in the ocean - Dr S. Griffiths

X1 X2 Tidal theory - Dr S. Griffiths

X1 X2 Slender body theory - Dr O Harlen

X1 X2 Acoustic scattering - Dr O Harlen

X1 X2 Stretching filaments of polymeric fluids - Dr O Harlen

X1 X2 Models of Giant Planets - Prof. C. Jones

X1 X2 Vortices - Prof. C. Jones

X1 X2 Integral Equations - Prof. M Kelmanson

X1 X2 Numerical analysis of spectral methods - Dr E. Kersale

X1 X2 Dynamics of accretion discs - Dr E. Kersale

Heat conduction in composite materials - Dr D. Lesnic

Evolutionary Dynamics of Rock-Paper-Scissors Games - Dr M. Mobilia

Dynamics of Social Dilemmas: Cooperation and Defection in Evolutionary Games - Dr M. Mobilia

How does our body defend itself against viral infections? Modelling T-cell activation - Dr C. Molina-Paris

X1 X2 Numerical solution of ordinary differential equations - Dr J. Niesen

X1 X2 Periodic Solutions of the N-body problem - Dr J. Niesen

X1 X2 The Magnus Expansion - Dr J. Niesen

X1 X2 The Evans function (4th year students only) - Dr J. Niesen

Quantum discrete systems - Prof F. Nijhoff

Integrable dynamical mappings - Prof F. Nijhoff

X1 X2 Branched polymers in all shapes and sizes - Dr D. Read

X1 X2 Self-avoiding random walks on a lattice - Dr D. Read

Nonlinear dynamics of patterns - Prof A. Rucklidge

Speciation as a symmetry-breaking bifurcation - Prof A. Rucklidge

Synchronization of nonlinear oscillators - Prof A. Rucklidge

X1 X2 The Birkhoff Ergodic Theorem - Dr R. Sturman

Mixing by Chaotic Advection (Pre-requisite: Nonlinear Dynamics or Dynamical Systems - Dr R. Sturman

X1 X2 The Mathematics of Musical Tuning - Dr R. Sturman

X1 X2Somewhere Over the Rainbow (3rd year students only) - Dr R. Sturman

Fractals and Iterated Function Systems - Dr T. Wagenknecht

Pendulums and bouncing balls - chaos or stability? - Dr T. Wagenknecht

Pseudospectra of matrices - Dr T. Wagenknecht

Digging deeper into Quantum Mechanics - Dr P. Walker