Nonlinear dynamics & stochastic processes in cybersecurity applications

Ryan, Pierce

Nonlinear dynamics & stochastic processes in cybersecurity applications

dc.contributor.advisor	Amann, Andreas
dc.contributor.advisorexternal	Healy, Sorcha
dc.contributor.author	Ryan, Pierce	en
dc.contributor.funder	Irish Research Council for Science, Engineering and Technology
dc.contributor.funder	McAfee
dc.date.accessioned	2023-09-14T10:57:02Z
dc.date.available	2023-09-14T10:57:02Z
dc.date.issued	2023
dc.date.submitted	2023
dc.description.abstract	The Internet is an extremely complex system which has a significant impact on the world we live in. In this thesis, we formalise Internet-based problems as mathematical models to better understand their dynamics. Modelling these problems requires dynamical features such as time delay, periodic forcing, switching and stochasticity. We study several dynamical systems which employ a combination of these features from Internet applications, including targeted ransomware, data networks, and signal processing. We also study a climate science system which shares features with the signal processing system and exhibits similar dynamics. Stochasticity is found to be critical in the modelling of the negotiations involved in targeted ransomware, while time delay is a crucial feature in the modelling of data networks. The signal processing and climate science systems give rise to extremely rich dynamics, which we are able to study analytically due to the presence of switching. This yields further insights into related smooth systems.	en
dc.description.status	Not peer reviewed	en
dc.description.version	Accepted Version	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	Ryan, P. 2023. Nonlinear dynamics & stochastic processes in cybersecurity applications. PhD Thesis, University College Cork.
dc.identifier.endpage	134
dc.identifier.uri	https://hdl.handle.net/10468/14981
dc.language.iso	en	en
dc.publisher	University College Cork	en
dc.relation.project	Irish Research Council for Science, Engineering and Technology (Grant no. EBPPG/2018/269)
dc.rights	© 2023, Pierce Ryan.
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	Cybersecurity	en
dc.subject	Nonlinear dynamics	en
dc.subject	Stochastic processes	en
dc.subject	Dynamical systems	en
dc.subject	Time delay	en
dc.title	Nonlinear dynamics & stochastic processes in cybersecurity applications	en
dc.type	Doctoral thesis	en
dc.type.qualificationlevel	Doctoral	en
dc.type.qualificationname	PhD - Doctor of Philosophy	en