Dr Cecilia Gonzalez Tokman

ARC DECRA Fellow

Mathematics
Faculty of Science
cecilia.gt@uq.edu.au
+61 7 336 53271

Overview

Research Interests

  • Dynamical Systems and Ergodic Theory

Qualifications

  • Doctor of Philosophy, University of Maryland

Publications

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Grants

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Supervision

  • Doctor Philosophy

  • Doctor Philosophy

  • (2017) Doctor Philosophy

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Available Projects

  • Dynamical systems and ergodic theory deal with the long term behaviour of systems which evolve over time. Topics available for student projects at PhD/Masters/Honours level include theoretical and computational analysis of metastable and coherent structures. Such structures encode important information of the long term evolution and transport phenomena in the underlying system. For example, they are useful to identify, analyse and quantify features of natural phenomena such as oceanic eddies and atmospheric vortices.

  • Dynamical systems play a crucial role in modelling and decision making in complex ecosystems. The aim of this honours project is to investigate the use of advanced analytical and computational dynamical systems methods in a range of models, currently used to make recommendations to natural ecosystem managers. A particular challenge is to devise new ways to deal with systems without stable equilibria, with the goal of incorporating these in a realistic management framework. This is a joint project with Eve McDonald-Madden, from the School of Geography, Planning and Environmental Management.

View all Available Projects

Publications

Journal Article

Grants (Administered at UQ)

PhD and MPhil Supervision

Current Supervision

  • Doctor Philosophy — Principal Advisor

  • Doctor Philosophy — Principal Advisor

Completed Supervision

Possible Research Projects

Note for students: The possible research projects listed on this page may not be comprehensive or up to date. Always feel free to contact the staff for more information, and also with your own research ideas.

  • Dynamical systems and ergodic theory deal with the long term behaviour of systems which evolve over time. Topics available for student projects at PhD/Masters/Honours level include theoretical and computational analysis of metastable and coherent structures. Such structures encode important information of the long term evolution and transport phenomena in the underlying system. For example, they are useful to identify, analyse and quantify features of natural phenomena such as oceanic eddies and atmospheric vortices.

  • Dynamical systems play a crucial role in modelling and decision making in complex ecosystems. The aim of this honours project is to investigate the use of advanced analytical and computational dynamical systems methods in a range of models, currently used to make recommendations to natural ecosystem managers. A particular challenge is to devise new ways to deal with systems without stable equilibria, with the goal of incorporating these in a realistic management framework. This is a joint project with Eve McDonald-Madden, from the School of Geography, Planning and Environmental Management.