Sydney Dynamics Group
SDG workshop: Multiscale dynamical systems  theory and application, Blackheath, Blue Mountains, 25 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
mechanics.
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.

Sasha
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.

Ben Goldys
(USyd, Maths): stochastic partial differential equations, analysis on infinitedimensional 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, agentbased 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 timereversal symmetry, algebraic dynamics.

Geoff Vasil (USyd, Maths):
geophysical and astrophysical fluid dynamics, multiscale 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.
Postdocs:

Chris
Angstmann (UNSW, Maths): Pattern formation, biomathematics,
anomalous diffusion.

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
Graduate students:

Kamil Bulinski (USyd, Maths): Applications of dynamics and ergodic
theory to number theory

Tony Chung (UNSW, Phys): GramSchmidt 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
and averaging

Danya Rose (USyd, Maths): Geometric phase for periodic orbits in the 3body 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 volumepreserving 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, 255264, 2004)
Effect of coarsegraining on the Kac ring model (Gottwald & Oliver, SIAM Review 51, 613635, 2009)

Recent activities:
 SDG workshop: Multiscale dynamical systems  theory and application, Blackheath, Blue Mountains, 25 November 2015
 Workshop
on Algebraic, Number Theoretic and Graph Theoretic Aspects of
Dynamical Systems, UNSW, 26 February 2015
 Random
Dynamical Systems and Multiplicative Ergodic Theorems, Banff,
Canada, 1823 January 2015
 Set Oriented
Numerics workshop, Christchurch, New Zealand, 15 September 2014
 SDG
workshop: Challenges arising in singularly perturbed dynamical
systems, Kingscliff, N.S.W., 1013 June 2014
 SDG workshop: Multiscale problems arising in the
biosciences, Blackheath, Blue Mountains, 2225 April 2014
 2014
Sydney Random Matrix Theory Workshop, USyd, 1316 January 2014
 4th
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, 1721 June 2013
 Mathematical
Models of TumorImmune System Dynamics USyd, 710 January 2013
 International Workshop on SetOriented Numerics in
Dynamical Systems, UNSW, 36 September 2012
 Workshop on Partial Differential Equations and
Geometric Methods, USyd, 19 October 2012

Seminars 2016:

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 nonautonomous (sequential) dynamical systems: limit theorems and extreme values"

04/04/16: Michael Bjorklund (Chalmers) "Quasicrystals, Fourier analysis and ergodic theory. Lecture 1"

08/04/16: Michael Bjorklund (Chalmers) "Quasicrystals, Fourier analysis and ergodic theory. Lecture 2"

11/04/16: Michael Bjorklund (Chalmers) "Quasicrystals, Fourier analysis and ergodic theory. Lecture 3"

15/04/16: Michael Bjorklund (Chalmers) "Quasicrystals, Fourier analysis and ergodic theory. Lecture 4"

18/04/16: Michael Bjorklund (Chalmers) "Quasicrystals, Fourier analysis and ergodic theory. Lecture 5"

22/04/16: Andy Hammerlindl (Monash) "Surgery on Anosov flows and new partially hyperbolic examples"

Maintained
by Georg Gottwald
