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MASIE

Summary of Research Projects

Overall coordinator: Mark Roberts

 

Section
Coordinator
Topics Coordinator
Geometry
and
Dynamics

Tudor Ratiu

1.1 Stability and bifurcations of REs and RPOs Juan-Pablo Ortega
1.2 Singularities and perturbations of integrable systems Richard Cushman
1.3 Non-Hamiltonian perturbations of REs/RPOs/HCs Gianne Derks
1.4 Symmetric Hamiltonian chaos Pascal Chossat
1.5 Integrability and perturbations of non-holonomic systems Francesco Fassò
Numerical
Methods

Sebastian Reich

2.1 Stochastic long-time behaviour of geometric integration methods Sebastian Reich
2.2 Adaptive and structure preserving methods for molecules and atoms Ben Leimkuhler
2.3 Multi-symplectic integration methods for Hamiltonian PDEs Sebastian Reich
Atomic and
Molecular
Spectra

Dmitri Sadovskii

3.1 Bands, branches, multiplets and polyads Boris Zhilinskii
3.2 Global bifurcation diagrams for REs/RPOs of atoms and molecules Igor Kozin
3.3 Semiclassical methods for singular tori and near-integrable systems Gregor Tanner
Continuum
Mechanics
and
Hamiltonian
PDEs

Jurgen Scheurle

4.1 REs and RPOs of alpha-Euler and other reduced averaged equations Tudor Ratiu
4.2 REs, RPOs, HCs and chaos in systems of point vortices James Montaldi
4.3 Geometrically exact elasticity models and limit behaviour Hans-Peter Kruse
4.4 Bifurcations and dynamics of affine rigid bodies Esmeralda Sousa Dias
4.5 Stability and bifurcations of optical pulses Tom Bridges
RE = Relative Equilibrium, RPO = Relative Periodic Orbit, HC = Heteroclinic Connection

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There are also 5 postoc and 5 postgraduate positions available (essentially to EC nationals).


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