Balancing structure and dynamics - dynamical networks and embedding as a modelling paradigm

Eugene Tan

doi:10.26182/xk2m-a009

Balancing structure and dynamics - dynamical networks and embedding as a modelling paradigm

Eugene Tan

Research output: Thesis › Doctoral Thesis

29 Downloads (Pure)

Abstract

This thesis is a discussion of the influences of model structure on the development analysis tools and aims to promote discourse on the interdisciplinary nature of mathematical modelling and its benefits, particularly in the study of complex systems. We the discussion on two notions of model structure; structure in dynamics, and structure with dynamics, and discuss how ideas from two disciplines, embedding and network theory, may be used alongside a choice of model structure to develop tools for the analysis and modelling of complex systems. Several dynamical systems from social and biological contexts are analysed.

Original language	English
Qualification	Doctor of Philosophy
Awarding Institution	The University of Western Australia
Supervisors/Advisors	Small, Michael, Supervisor Stemler, Thomas, Supervisor Correa, Debora, Supervisor
Thesis sponsors	Australian Government Research Training Program
Award date	6 Nov 2024
DOIs	https://doi.org/10.26182/xk2m-a009
Publication status	Unpublished - 2024

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10.26182/xk2m-a009

THESIS - DOCTOR OF PHILOSOPHY - TAN Eugene Kiang Jin - 2024
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3 Article
1 Review article

A Backpropagation Algorithm for Inferring Disentagled Nodal Dynamics and Connectivity Structure of Dynamical Networks
Tan, E., Correa, D., Stemler, T. & Small, M., 1 Jan 2024, In: IEEE Transactions on Network Science and Engineering. 11, 1, p. 613-624 12 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
2 Citations (Scopus)

193 Downloads (Pure)
Cognitive dissonance and introversion effects on opinion dynamics and echo chamber formation
Tan, E., Stemler, T. & Small, M., 15 Nov 2024, In: Physica A: Statistical Mechanics and its Applications. 654, 14 p., 130130.
Research output: Contribution to journal › Article › peer-review
Network representations of attractors for change point detection
Tan, E., Algar, S. D., Corrêa, D., Stemler, T. & Small, M., Dec 2023, In: Communications Physics. 6, 1, 14 p., 340.
Research output: Contribution to journal › Article › peer-review

Open Access
1 Citation (Scopus)

Cite this

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title = "Balancing structure and dynamics - dynamical networks and embedding as a modelling paradigm",

abstract = "This thesis is a discussion of the influences of model structure on the development analysis tools and aims to promote discourse on the interdisciplinary nature of mathematical modelling and its benefits, particularly in the study of complex systems. We the discussion on two notions of model structure; structure in dynamics, and structure with dynamics, and discuss how ideas from two disciplines, embedding and network theory, may be used alongside a choice of model structure to develop tools for the analysis and modelling of complex systems. Several dynamical systems from social and biological contexts are analysed.",

keywords = "dynamical networks, embedding, social dynamics, time series analysis, change point detection, networks",

author = "Eugene Tan",

year = "2024",

doi = "10.26182/xk2m-a009",

language = "English",

school = "The University of Western Australia",

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Y1 - 2024

N2 - This thesis is a discussion of the influences of model structure on the development analysis tools and aims to promote discourse on the interdisciplinary nature of mathematical modelling and its benefits, particularly in the study of complex systems. We the discussion on two notions of model structure; structure in dynamics, and structure with dynamics, and discuss how ideas from two disciplines, embedding and network theory, may be used alongside a choice of model structure to develop tools for the analysis and modelling of complex systems. Several dynamical systems from social and biological contexts are analysed.

AB - This thesis is a discussion of the influences of model structure on the development analysis tools and aims to promote discourse on the interdisciplinary nature of mathematical modelling and its benefits, particularly in the study of complex systems. We the discussion on two notions of model structure; structure in dynamics, and structure with dynamics, and discuss how ideas from two disciplines, embedding and network theory, may be used alongside a choice of model structure to develop tools for the analysis and modelling of complex systems. Several dynamical systems from social and biological contexts are analysed.

KW - dynamical networks

KW - embedding

KW - social dynamics

KW - time series analysis

KW - change point detection

KW - networks

U2 - 10.26182/xk2m-a009

DO - 10.26182/xk2m-a009

M3 - Doctoral Thesis

ER -

Balancing structure and dynamics - dynamical networks and embedding as a modelling paradigm

Abstract

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Research output

A Backpropagation Algorithm for Inferring Disentagled Nodal Dynamics and Connectivity Structure of Dynamical Networks

Cognitive dissonance and introversion effects on opinion dynamics and echo chamber formation

Network representations of attractors for change point detection

Cite this