Browsing Applied Mathematics by Title
Now showing items 463-482 of 499
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Synchronization of Complex-Valued Dynamical Networks
(University of Waterloo, 2021-09-27)Dynamical networks (DNs) have been broadly applied to describe natural and human systems consisting of a large number of interactive individuals. Common examples include Internet, food webs, social networks, neural networks, ... -
Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control
(Elsevier, 2019-12)This paper studies the synchronization problem of coupled reaction-diffusion neural networks with time-varying delays. A novel pinning impulsive controller is proposed, where distributed delays and discrete delays are taken ... -
Synthetic quorum sensing in model microcapsule colonies
(Proceedings of the National Academy of Sciences, 2017-07-24)Biological quorum sensing refers to the ability of cells to gauge their population density and collectively initiate a new behavior once a critical density is reached. Designing synthetic materials systems that exhibit ... -
A Taylor polynomial expansion line search for large-scale optimization
(University of Waterloo, 2016-08-29)In trying to cope with the Big Data deluge, the landscape of distributed computing has changed. Large commodity hardware clusters, typically operating in some form of MapReduce framework, are becoming prevalent for ... -
Tensors: Entanglement, Geometry, and Combinatorics
(University of Waterloo, 2022-04-26)In this thesis, we use algebraic-geometric and combinatorial techniques to study tensor decompositions, with applications in quantum information theory, algebraic complexity theory, and algebraic statistics. A tensor is a ... -
Theoretical Description of the Forces on a Point Charge Moving Parallel to a Supported Two-dimensional Material
(University of Waterloo, 2022-09-22)A charged particle, moving at a certain distance and parallel to a target, experiences a stopping force that slows it down and an image force that deflects it towards the target's surface. In this work, we aimed to describe ... -
Theory and Mitigation of Crosstalk on Quantum Information Processors
(University of Waterloo, 2023-09-08)Successfully implementing large-scale quantum computation has proven to be an exceptionally arduous task. Decoherence and imperfect control limit the coherent manipulation of large ensembles of particles. While quantum ... -
Three Dimensional Hydrodynamic Modelling of Lake Erie: Kelvin Wave Propagation and Potential Effects of Climate Change on Thermal Structure and Dissolved Oxygen
(University of Waterloo, 2013-07-25)This thesis investigates physical processes in Lake Erie, a large, shallow mid-latitude lake, from two perspectives: climate change impacts on the thermal structure and dissolved oxygen concentration and small-scale eddy ... -
Three Results in Quantum Physics
(University of Waterloo, 2019-05-09)This thesis is split into three disjoint sections. The first deals with two practical issues regarding the use of unitary 2-designs. A simplified description of how to generate elements of the smallest known unitary 2-design ... -
Three-dimensional Simulations of an Internal Solitary Wave Shoaling Over a Shallow Slope
(University of Waterloo, 2022-05-03)The transport of sediment is vital for ecological and climatological processes. Sediment can either move up the shelf, or mix into the upper water column as nepheloid layers. Internal solitary waves (ISWs) shoaling along ... -
Three-dimensional simulations of sound propagation in a trumpet with accurate mouthpiece shank geometry
(arXiv, 2016-11-01)The length and bore geometry of musical instruments directly influences the quality of sound that can be produced. In brass instruments, nonlinear effects from finite-amplitude wave propagation can lead to wave distortion ... -
Time-Optimal Control of Closed Quantum Systems
(University of Waterloo, 2009-08-20)Recently there has been a lot of interest in the potential applications of performing computations on systems whose governing physical laws are quantum, rather than classical in nature. These quantum computers would have ... -
Time-Optimal Control of Quantum Systems: Numerical Techniques and Singular Trajectories
(University of Waterloo, 2011-06-21)As technological advances allow us to peer into and beyond microscopic phenomena, new theoretical developments are necessary to facilitate this exploration. In particular, the potential afforded by utilizing quantum resources ... -
Topics in Chemical Reaction Network Theory
(University of Waterloo, 2012-01-10)Under the assumption of mass-action kinetics, systems of chemical reactions can give rise to a wide variety of dynamical behaviour, including stability of a unique equilibrium concentration, multistability, periodic ... -
Topics in early and late Universe cosmology
(University of Waterloo, 2020-08-11)In this thesis, we explore different problems in various areas of cosmology. The inflationary paradigm has been very successful in explaining cosmological observations. However, some problems still linger on. In the ... -
Topics in Quantum Foundations: Ontological Models, and Distinguishability as a Resource
(University of Waterloo, 2009-08-24)This thesis covers research in two disjoint research areas: The ontological model program (formerly hidden-variables program) for quantum theory has a long and noble tradition in the quantum foundations literature. By ... -
Topographically generated internal waves and boundary layer instabilities
(American Institute of Physics, 2015-08)Flow over topography has been shown to generate finite amplitude internal waves upstream, over the topography and downstream. Such waves can interact with the viscous bottom boundary layer to produce vigorous instabilities. ... -
Topological Quantum Computation and Protected Gates
(University of Waterloo, 2015-12-22)This thesis serves to give a mathematical overview of topological quantum computation and to apply the theory to characterize desirable fault-tolerant operations called protected gates. Topological quantum computation is ... -
Truncation selection and diffusion on random graphs
(Arxiv, 2017-08-31)Two-strategy evolutionary games on graphs have been extensively studied in the literature. A variety of graph structures, degrees of graph dynamics, and behaviours of replicators have been explored. These models have ... -
Turnpike Property for Generalized Linear-Quadratic Optimal Control Problem
(University of Waterloo, 2023-04-28)The turnpike phenomenon describes the long time behavior of optimally controlled systems whose optimal trajectories over a sufficiently large time horizon stay for most of the time close to a prescribed trajectory of the ...