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Unit Overview

Description

Unit will cover a range of advanced topics in contemporary complex systems theory, emphasising the mathematical description of computational phenomena. Topics will include:

evolutionary algorithms, mean-field theory and renormalisation, hybrid systems (exploring analytic solutions on top of discrete models), stochastic dynamics, higher order networks and hypergraphs, scaling behaviour, machine learning (neural networks and reinforcement learning) viewed within the context of complex systems, synchronisation, chimeras, dynamics on networks.

Credit
6 points
Offering
AvailabilityLocationModeFirst year of offer
Not available in 2025UWA (Perth)Face to face
Outcomes

Students are able to (1) demonstrate an understanding of contemporary issues in complexity theory; (2) describe the importance of both emergent phenomena and collective behaviour in Complex Systems; (3) utilise appropriate mathematical models to investigate emergent phenomena and collective behaviour; (4) analyse Complex Systems with relevant computational and analytic tools; and (5) apply appropriate analytic methods to investigate archetypal mathematical models of Complex Systems.

Assessment

Indicative assessments in this unit are as follows: (1) assignments and (2) in-class tests/quizzes. Further information is available in the unit outline.



Student may be offered supplementary assessment in this unit if they meet the eligibility criteria.

Unit Coordinator(s)
Professor Michael Small
Unit rules
Prerequisites
Successful completion of
MATH3024 Complex Systems
and MATH3021 Nonlinear Dynamics and Chaos
Advisable prior study
MATH3002 Network Science (ID 6600)
Contact hours
3 hours per week
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  • Visit the Essential Textbooks website to see if any textbooks are required for this Unit. The website is updated regularly so content may change. Students are recommended to purchase Essential Textbooks, but a limited number of copies of all Essential Textbooks are held in the Library in print, and as an ebook where possible. Recommended readings for the unit can be accessed in Unit Readings directly through the Learning Management System (LMS).
  • Contact hours provide an indication of the type and extent of in-class activities this unit may contain. The total amount of student work (including contact hours, assessment time, and self-study) will approximate 150 hours per 6 credit points.