Sydney Dynamics Group
SDG workshop: Multiscale dynamical systems - theory and application, Blackheath, Blue Mountains, 2-5 November 2015
The SDG was founded in January 2007 as a cooperation of faculty members between two of the major universities in Sydney, Australia,
the University of New South Wales (UNSW) and the University of Sydney (USyd). The group's research missions span topics in pure and applied
dynamical systems, ranging from algebraic dynamics, ergodic theory,
and Hamiltonian dynamics to rhythms in physiological systems, time
series analysis, geophysical fluid dynamics and statistical
Members of the group:
Holger Dullin (USyd, Maths):
Hamiltonian systems, rigid body dynamics with applications in biomechanics,
topology of integrable systems,
semiclassical quantization, volume preserving mappings.
Fish (USyd, Maths):
Ergodic theory, applications of dynamics to number theory.
Gary Froyland (UNSW, Maths):
smooth and numerical ergodic theory, applications to atmospheric and oceanic flows.
Dave Galloway (USyd, Maths):
solar and geodynamo modelling.
(USyd, Maths): stochastic partial differential equations, analysis on infinite-dimensional spaces, long time behaviour of solutions to stochastic ordinary and partial differential equations, optimal control.
Georg Gottwald (USyd, Maths):
geophysical fluid dynamics, pattern formation in biological and chemical systems, nonlinear time series analysis.
Ray Kawai (USyd, Maths): statistics and numerical methods for stochastic differential equations, mathematical ecology, mathematical finance, optimization
Shane Keating (UNSW, Maths):
Mixing and stirring in geophysical turbulence; satellite altimetry; ocean state estimation; eddy parameterization.
Peter Kim (USyd, Maths):
mathematical biology, cancer modelling, agent-based models
Charlie Macaskill (USyd, Maths):
geophysical fluid dynamics, especially vortex dynamics and internal waves,
acoustics in complex and random media with applications in biomedical ultrasound, mathematical theory of combustion.
Robert Marangell (USyd, Maths): dynamical systems, stability of nonlinear waves.
Gary Morriss (UNSW, Physics):
statistical mechanics of nonequilibrium systems.
Milena Radnovic (USyd, Maths):
integrable systems, billiards.
John Roberts (UNSW, Maths):
discrete integrable systems, symmetry and time-reversal symmetry, algebraic dynamics.
Geoff Vasil (USyd, Maths):
geophysical and astrophysical fluid dynamics, multi-scale methods, pattern formation.
Martin Wechselberger (USyd, Maths):
invariant manifold theory, canard theory, geometric singular perturbation theory with applications to the nervous system and cell signalling.
Angstmann (UNSW, Maths): Pattern formation, biomathematics,
Davor Dragicevic (UNSW, Maths): hyperbolic dynamical systems and ergodic theory
Jeroen Wouters (USyd, Maths): dynamical systems, statistical
mechanics, climate science
Atiya Zaidi (UNSW, Maths): discrete integrable systems
Kamil Bulinski (USyd, Maths): Applications of dynamics and ergodic
theory to number theory
Tony Chung (UNSW, Phys): Gram-Schmidt Lyapunov vectors at equilibrium
Isaac Donnelly (UNSW, Maths): Complex networks
Brent Giggins (USyd, Maths): Forecasting with covariant Lyapunov vectors
Ngan Kim Le (UNSW, Maths): Numerical methods for stochastic PDEs
Eric Kwok (UNSW, Math): Ergodic theory and geometry of dynamical systems
John Mitry (USyd, Maths): Dynamical systems theory methods in mathematical biology
Ignacio Ortega Piwonka (UNSW, Maths): Fractional diffusion
- Kerry Roberts (USyd, Maths): Geometric singular perturbation theory
Danya Rose (USyd, Maths): Geometric phase for periodic orbits in the 3-body problem
Robyn Stuart (UNSW, Maths): Connecting geometric and probabilistic descriptions of the dynamics of open systems
William Tong (USyd, Maths): Geometric phase in multibody dynamics
Cuong Tran (UNSW, Maths): Stochastic equations with delays as limits of ARMA and GARCH processes
Daniel Truant (UNSW, Phys): Covariant Lyapunov vectors
- Thomas Watson (UNSW, Maths): Computing covariant Lyapunov
vectors; geometric and probabilistic flux in dynamical systems
- Joachim Worthington (USyd, Math): Stability theory in Hamiltonian and volume-preserving dynamical systems
- John Wormell (USyd, Math): Linear response theory in chaotic
deterministic dynamical systems
An eigenfunction of a transfer operator highlights gyres in the Weddell and Ross Seas
off the Antarctic Coast (Froyland et al., Phys. Rev. Lett. 98:224503, 2007)
Escape time diagram of the Levitron, a levitating magnetic top
(Dullin, Regular and Chaotic Dynamics 9, 255-264, 2004)
Effect of coarse-graining on the Kac ring model (Gottwald & Oliver, SIAM Review 51, 613-635, 2009)
- SDG workshop: Multiscale dynamical systems - theory and application, Blackheath, Blue Mountains, 2-5 November 2015
on Algebraic, Number Theoretic and Graph Theoretic Aspects of
Dynamical Systems, UNSW, 2-6 February 2015
Dynamical Systems and Multiplicative Ergodic Theorems, Banff,
Canada, 18-23 January 2015
- Set Oriented
Numerics workshop, Christchurch, New Zealand, 1-5 September 2014
workshop: Challenges arising in singularly perturbed dynamical
systems, Kingscliff, N.S.W., 10-13 June 2014
- SDG workshop: Multiscale problems arising in the
biosciences, Blackheath, Blue Mountains, 22-25 April 2014
Sydney Random Matrix Theory Workshop, USyd, 13-16 January 2014
International Workshop on Set Oriented Numerics, Technische
Universität Dresden, Germany, 29 September - 2 October 2013
- Methods of Chaos Detection and Predictability: Theory and
Applications, Max Planck Institut Dresden, 17-21 June 2013
Models of Tumor-Immune System Dynamics USyd, 7-10 January 2013
- International Workshop on Set-Oriented Numerics in
Dynamical Systems, UNSW, 3-6 September 2012
- Workshop on Partial Differential Equations and
Geometric Methods, USyd, 19 October 2012
22/01/16: Henk Bruin (Vienna) "Sharp mixing rates via inducing w.r.t. general return times"
19/02/16: Sandro Vaienti (Marseille) "Statistical properties of non-autonomous (sequential) dynamical systems: limit theorems and extreme values"
04/04/16: Michael Bjorklund (Chalmers) "Quasi-crystals, Fourier analysis and ergodic theory. Lecture 1"
08/04/16: Michael Bjorklund (Chalmers) "Quasi-crystals, Fourier analysis and ergodic theory. Lecture 2"
11/04/16: Michael Bjorklund (Chalmers) "Quasi-crystals, Fourier analysis and ergodic theory. Lecture 3"
15/04/16: Michael Bjorklund (Chalmers) "Quasi-crystals, Fourier analysis and ergodic theory. Lecture 4"
18/04/16: Michael Bjorklund (Chalmers) "Quasi-crystals, Fourier analysis and ergodic theory. Lecture 5"
22/04/16: Andy Hammerlindl (Monash) "Surgery on Anosov flows and new partially hyperbolic examples"
17/06/16: Nich Pizzo (Southern Queensland) "Modulational instability of quasi-harmonic wave-trains in rotating fluids"
29/06/16: Yury Stepanyants (University of California San Diego) "Properties of nonlinear and breaking deep-water surface waves"
by Georg Gottwald