Research
My research area is Hamiltonian Dynamical Systems.- Integrable Systems
- Topology of Integrable Systems
- Action-Angle variables, Hamiltonian Monodromy
- Semiclassical quantization, Quantum Monodromy
- KAM theory, Frequency Analysis and non-degeneracy conditions
- semi-global symplectic invariants
- Classical Mechanics
- N-body problems
- Rigid body dynamics
- Non-rigid body dynamics in Biomechanics
- Poisson structures
- Geometric Phase
- Symplectic and Poisson integrators
- Bifurcation Theory
- Twistless bifurcations
- Hamiltonian Hopf Bifurcation
- Resonances
- Dynamics of Hamiltonian Maps
- Symplectic maps
- Billiards
- Volume preserving maps
- Symbolic Dynamics
- SD in (ergodic) Billiards
- SD in integrable systems
- Euler Equations in Fluid Dynamics
- Stability of equilibria on the torus
- Zeitlin's Poisson structures
- Global dynamics on the rotating sphere
- PhD projects
Professor of Applied Mathematics
School of Mathematics and Statistics
University of Sydney NSW 2006
Australia
holger.dullin@sydney.edu.au
Phone: +61 2 9351 4083
FAX: +61 2 9351 4534
Office: 714 Carslaw F07