New Developments in Multiple-Timescale Dynamical Systems

Joy Lukman

  • 22 June 2020 - 26 June 2020
    8:00 am - 5:00 pm

Organisers: 
Ian Lizarraga (University of Sydney)
Theodore Vo (Monash University)

Program Description:
Geometric singular perturbation theory (GSPT) has developed to tease apart the dynamics of multiple time-scale systems in a growing list of scientifi c applications. These methods have typically been confi ned to systems of ODEs in which there is a global splitting of the slow and fast variables, but researchers have begun to recognize that this “standard form” is restrictive and unnatural in a variety of applied problems. In the past few years,
there has been a movement toward understanding multiple time-scale systems beyond the standard form, where the tools from GSPT need to be adapted and further developed.

The two target areas for this workshop are (1) non-standard ODE models in which the slow/fast splitting is de ned (at most) locally, and (2) parabolic PDEs. The MATRIX program will bring together key Australian and international researchers leading the development and applications of GSPT in these contexts, and provide an environment in which to collaborate and determine the key challenges facing GSPT in these two classes of problems beyond the standard form.

Program Structure:
TBD

Registration:

  • Deadline: 22 April 2020
  • Registration is by invitation only

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 23 June 2020
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.