Browsing University of Waterloo by Subject "dynamical systems"
Now showing items 1-7 of 7
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Biological Plausibility in Modern Hopfield Networks
(University of Waterloo, 2022-12-19)Modern Hopfield Networks (HNs) have the ability to store a large number of target memories (e.g. binary patterns) and then recall a memory in its entirety when prompted by a sub-set or perturbed version of it; in this ... -
Dynamic Magnetic Resonance Elastography
(University of Waterloo, 2010-01-20)Magnetic Resonance Elastography (MRE) is a medical imaging technique used to generate a map of tissue elasticity. The resulting image is known as an elastogram, and gives a quantitative measure of stiffness in the examined ... -
Dynamical Systems in Spiking Neuromorphic Hardware
(University of Waterloo, 2019-05-10)Dynamical systems are universal computers. They can perceive stimuli, remember, learn from feedback, plan sequences of actions, and coordinate complex behavioural responses. The Neural Engineering Framework (NEF) provides ... -
The Dynamics of Inhomogeneous Cosmologies
(University of Waterloo, 2004)In this thesis we investigate cosmological models more general than the isotropic and homogeneous Friedmann-Lemaître models. We focus on cosmologies with one spatial degree of freedom, whose matter content ... -
Mathematical Modelling of Social Factors in Decision Making Processes at the Individual and Population Levels
(University of Waterloo, 2016-08-11)In this thesis we apply mathematical modelling techniques to investigate the implications of social influence on decision making processes in two related contexts. The first problem concerns the mathematical modelling ... -
Recurrence in Algebraic Dynamics
(University of Waterloo, 2020-07-28)The Dynamical Mordell--Lang Conjecture states that if a polynomial orbit has infinite intersection with a closed set in an algebraic variety, then the intersection must occur periodically. Although this problem is unsolved ... -
Stability of Impulsive Switched Systems in Two Measures
(University of Waterloo, 2010-09-28)This thesis introduces the notion of using stability analysis in terms of two measures for impulsive switched systems. Impulsive switched systems are defined in the context of hybrid system theory and the motivation for ...