Global stability of chaotic random dynamical systems

Project opportunity

This Earmarked Scholarship project is aligned with a recently awarded Category 1 research grant. It offers you the opportunity to work with leading researchers and contribute to large projects of national significance.

This project aims to make significant progress on the intricate question of global stability of non-autonomous chaotic dynamical systems. Using ergodic theory, this project expects to determine when and how errors in dynamical models that are small and frequent, or large and infrequent, can cause dramatic changes in meaningful mathematical model outputs.

Scholarship value

As a scholarship recipient, you'll receive: 

  • living stipend of $32,192 per annum tax free (2023 rate), indexed annually
  • tuition fees covered
  • single Overseas Student Health Cover (OSHC)


Associate Professor Cecilia Gonzalez Tokman

School of Mathematics and Physics


Preferred educational background

Your application will be assessed on a competitive basis.

We take into account your

  • previous academic record
  • publication record
  • honours and awards
  • employment history.

A working knowledge of mathematical analysis, linear algebra and mathematical software (e.g. Matlab, Mathematica) is essential. A relevant background on dynamical systems and/or ergodic theory and/or probability would be of benefit to someone working on this project.

The applicant will demonstrate academic achievement in the field(s) of mathematics and the potential for scholastic success.

A background or knowledge of dynamical systems and/or ergodic theory is highly desirable.

Latest commencement date

If you are the successful candidate, you must commence by Research Quarter 3, 2023. You should apply at least 3 months prior to the research quarter commencement date.

If you are an international applicant, you may need to apply much earlier for visa requirements.

How to apply

You apply for this project as part of your PhD program application.

View application process