Browsing Applied Mathematics by Title
Now showing items 432-451 of 500
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Spatially localized cluster solutions in inhibitory neural networks
(Elsevier, 2021-06)Neurons in the inhibitory network of the striatum display cell assembly firing patterns which recent results suggest may consist of spatially compact neural clusters. Previous computational modeling of striatal neural ... -
Spatially-Implicit Modelling Of Disease-Behaviour Interactions In The Context Of Non-Pharmaceutical Interventions
(American Institute of Mathematical Sciences, 2018-04-01)Pair approximation models have been used to study the spread of infectious diseases in spatially distributed host populations, and to explore disease control strategies such as vaccination and case isolation. Here we ... -
Spectral analysis of internal waves generated by tide-topography interaction
(University of Waterloo, 2007-08-21)Internal waves in the deep ocean play a deciding role in processes such as climate change and nutrient cycles. Winds and tidal currents over topography feed energy into internal waves at large scales; through nonlinear ... -
Spectral Energy Balance in Convective Boundary Layers
(University of Waterloo, 2014-12-19)In his pioneering 1941 papers, Kolmogorov derived that the energy spectrum follows a universial form within a range of wavenumbers removed from both the forcing and dissipation and depending only on the wavenumber and the ... -
Spectral energy balance in dry convective boundary layers
(Taylor and Francis, 2015-04)Three-dimensional large-eddy simulations (LES) of the convective boundary layer over a domain of approximately 6 km are performed with the UCLA LES model. Simulations are forced with a constant surface heat flux and ... -
Spectral properties of tensor products of channels
(Elsevier, 2018-09-15)We investigate spectral properties of the tensor products of two completely positive and trace preserving linear maps (also known as quantum channels) acting on matrix algebras. This leads to an important question of when ... -
Spectrum of Cuscuton Bounce and Cosmological Parameter Inference Using Dark Sirens
(University of Waterloo, 2021-08-25)Over the last couple of decades, cosmology has become an exciting area to study. Technological developments in both the computational and observational fronts have propelled cosmology into the limelight of modern physics. ... -
Stability Analysis and Formally Guaranteed Tracking Control of Quadrotors
(University of Waterloo, 2024-06-19)Reach-avoid tasks are among the most common challenges in autonomous aerial vehicle (UAV) applications. Despite the significant progress made in the research of aerial vehicle control during recent decades, the task of ... -
Stability analysis by contraction principle for impulsive systems with infinite delays
(Elsevier, 2020-03)This paper studies a class of quasi-linear impulsive systems of functional differential equations with infinite time delay. By employing the contraction principle, several criteria on uniform stability and asymptotic ... -
Stability and Boundedness of Impulsive Systems with Time Delay
(University of Waterloo, 2007-04-13)The stability and boundedness theories are developed for impulsive differential equations with time delay. Definitions, notations and fundamental theory are presented for delay differential systems with both fixed and ... -
Stability and Control of Caputo Fractional Order Systems
(University of Waterloo, 2018-01-08)As pointed out by many researchers in the last few decades, differential equations with fractional (non-integer) order differential operators, in comparison with classical integer order ones, have apparent advantages in ... -
Stability and Hopf Bifurcation Analysis of Hopfield Neural Networks with a General Distribution of Delays
(University of Waterloo, 2011-12-16)We investigate the linear stability and perform the bifurcation analysis for Hopfield neural networks with a general distribution of delays, where the neurons are identical. We start by analyzing the scalar model and show ... -
Stability and Well-posedness of a Nonlinear Railway Track Model
(Institute of Electrical and Electronics Engineers, 2018-06-22)Railway tracks rest on a foundation known for exhibiting nonlinear viscoelastic behavior. Railway track deflections are modeled by a semilinear partial differential equation. This paper studies the stability of solutions ... -
Stability of Coastal Jets: Linear Stability Calculations and Nonlinear Simulations
(University of Waterloo, 2016-05-16)In this thesis, a new numerical ocean model, Tempest, has been developed for application to simple process studies of large-scale ocean dynamics. This model allows for hydrostatic, non-hydrostatic, quasi-hydrostatic, and ... -
Stability of Connected Autonomous Vehicle Networks with Commensurate Time Delays
(IEEE, 2021-05)In this paper, we study the stability of Connected Autonomous Vehicle Networks (CAVN) with commensurate time delays under the assumption that communication time delays increase as the distance between the vehicles increases. ... -
Stability of Hybrid Singularly Perturbed Systems with Time Delay
(University of Waterloo, 2006)Hybrid singularly perturbed systems (SPSs) with time delay are considered and exponential stability of these systems is investigated. This work mainly covers switched and impulsive switched delay SPSs . Multiple ... -
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 ... -
Stability of Nonlinear Functional Differential Equations by the Contraction Mapping Principle
(University of Waterloo, 2016-08-29)Fixed point theory has a long history of being used in nonlinear differential equations, in order to prove existence, uniqueness, or other qualitative properties of solutions. However, using the contraction mapping ... -
Stability, bifurcation and phase-locking of time-delayed excitatory-inhibitory neural networks
(AIMS Press, 2020-11)We study a model for a network of synaptically coupled, excitable neurons to identify the role of coupling delays in generating different network behaviors. The network consists of two distinct populations, each of which ... -
Statistical Physics Of Vaccination
(Elsevier, 2016-12-09)Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand ...