Sydney Dynamics Group
SDG workshop: Dynamical systems  theory and application, Blackheath, Blue Mountains, 610 November 2017
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:

Eduardo Altmann (USyd, Maths):
Hamiltonian systems, transient chaos, extreme events, complex networks

Holger Dullin (USyd, Maths):
Hamiltonian systems, rigid body dynamics with applications in biomechanics, topology of integrable systems, semiclassical quantization, volume preserving mappings

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

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:

Jason Atnip (UNSW, Maths):
ergodic theory, random dynamical systems, statistical limit theorems

Ian Lizarraga (USyd, Maths):
geometric singular perturbation theory, slowfast dynamical systems, coupled oscillators

Debopriya Mukherjee (USyd and UNSW, Math):
stochastic PDEs and optimal control of fluids

Konstantinos Sakelleriou (UNSW, Maths):
numerical transfer operator methods, finitetime coherent sets, nonlinear time series analysis

Lachlan Smith (USyd, Maths):
chaotic advection, piecewise isometries, mixing and transport, synchronization
Graduate students:

Fadi Antown (UNSW, Maths): optimal linear response, stochastic dynamics, finitetime coherent sets

Madeleine Cartwright (USyd, Math): synchronization in power grids

Harry Crimmins (UNSW, Maths): stability and rigorous approximation of statistical limit laws

Mitch Curran (USyd, Maths): Maslov index in standing waves of the NLS equation on quantum graphs

Michael Denes (UNSW, Maths): finitetime coherent sets in ocean dynamics

Zeina Haidar (USyd, Maths): periodic trajectories of pseudointegrable billiard within circle with a barrier

Brent Giggins (USyd, Maths): forecasting with bred vectors and covariant Lyapunov vectors

Zach Issa (USyd, Maths): Skorokhod embedding theorem with financial applications

Samuel Jelbart (USyd, Maths): nonstandard GSPT

Farah El Rafei (UNSW, Maths): spin waves in nanowires under stochastic perturbations

Christopher Rock (UNSW, Maths): theory and numerics for the dynamic Laplacian

Tim Roberts (USyd, Math): stability of nonlinear waves and the Evans function

Camelia Tiplea (USyd, Math): pricing of American options

James Yang (USyd, Math): optimal control of slow fast systems

Caroline Wormell (USyd, Math): linear response theory in chaotic deterministic dynamical systems

Wenqi Yue (USyd, Math): model reduction for synchronization in complex networks

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)

Seminars 2018:

12/01/18: Daniel Lecoanet (Princeton) "Model hierarchies for computational data analysis"

16/03/18: Amin Chabchoub (USyd) "Soliton and breather dynamics on the water surface"

23/03/18: Justin Tzou (Macquarie) "Localised pattern dynamics and mean first passage time optimisation  analysis techniques and surprising connections"

25/05/18: Dimitris Giannakis (Courant) "Spatiotemporal pattern extraction by spectral analysis of vectorvalued observables"

28/05/18: Andy Hammerlindl (Monash) "What is a blender?"

01/06/18: Dmitry Pelinovsky (McMaster, Canada) "Standing waves on metric graphs"

20/07/18: Caroline Wormell (USyd) "Classification of slow mixing formations in chaotic dynamics"

03/08/18: Konstantin Clauß (TU Dresden) "Localization on fractals in open systems: A resonance eigenfunction hypothesis"

24/08/18: Maxime Bombar (ENS Cachan) "The capacity of linear time invariant channels and delocalisation""

31/08/18: Oliver Junge (TU München) "Robust FEMbased extraction of finitetime coherent sets using scattered, sparse, and incomplete trajectories"

31/08/18: Bjorn Winckler (Imperial) "Instability of renormalization"

07/09/18: Mason Porter (UCLA) "Spreading Processes on Networks"

14/09/18: John Maclean (Adelaide) "Projected particle filtering"

19/10/18: Edgar Knobloch (Berkeley) "Asymptotic techniques for flows with strong restraints: rapidly rotating convection"

21/11/18: Vladimir Zeitlin (ENS Paris) "Small is beautiful: understanding complex meteorological phenomena in tropics with simple mathematical models"

Maintained
by Georg Gottwald
