Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 22 for “"Existence and stability"”.
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Existence and stability of stellardynamic models
We examine existence and stability of stationary solutions to the Vlasov-Poisson system. This system is used in stellardynmaics to describe the evolution of galaxies where collissions are neglected and the evolution is determined by the self-consistent gravitational field which is created by the …
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Existence and Stability of Solitary Waves for NLS with Defects
… focus of this dissertation is to investigate the existence and stability of solitary waves to dispersive partial differential equations and, in particular to nonlinear Schr\"odinger equations with defects nonlinearity. First we identify necessary and sufficient conditions for the existence of …
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Existence and stability of solutions to the equations of fibre suspension flows
… A. This variable, together with the velocity and pressure, then constitutes the set of unknown variables for the problem. The governing equations are balance of linear momentum, the incompressibility condition, an evolution equation for A, and a constitutive equation for the stress. The …
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Existence and stability analysis of ferroresonance using the generalized state-space averaging technique
… which can damage power distribution transformers and motors and cause injury to the system operators. Similarly, under some conditions, power distribution transformers can excite subharmonic frequencies which in turn can damage the transformer winding and loads connected to the grid lines. While …
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A dynamic two-level theory of state implosion: The cases of Lebanon, Algeria, and Yugoslavia
… occur? This question urges itself on theorists and practitioners in international relations and security in the aftermath of the dissolution of the Soviet Union. Despite the importance of the question, contemporary security and international relations theory has devoted little attention to state …
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Optical Wave Propagation In Discrete Waveguide Arrays
… theoretical investigation of both linear and nonlinear optical wave propagation in one- and two-dimensional waveguide lattices is presented. The ability to completely overcome the effects of discrete diffraction through the mutual trapping of two orthogonally polarized coherent beams …
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Temporal synchronization of CA1 pyramidal cells by high-frequency, depressing inhibition, in the presence of intracellular noise
… targets. Both the synchronization and precision of pyramidal cells is believed to be coordinated by inhibition provided by a vast array of interneurons. This dissertation proposes a minimal model consisting of a single interneuron which synapses onto a network of uncoupled pyramidal …
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The control of frequency of a conditional oscillator simultaneously subjected to multiple oscillatory inputs
… input from outside the stomatogastric ganglion and fast input from the pyloric network of the animal in order to become active. This dissertation studies how the frequency of the gastric mill network is determined when it is simultaneously subjected to two different rhythmic inputs whose timing …
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Stability of Periodic Waves in Nonlocal Dispersive Equations
… my advisor, Dr. Mathew Johnson, we study the existence and stability of periodic waves in equations that possess nonlocal dispersion, i.e. equations in which the dispersion relation between the temporal frequency, omega, and wavenumber, k, of a plane wave is not polynomial in ik. In models …
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Using Stable Limit Cycles to Model p53-Mdm2 Protein Interactions in the Presence of DNA Damage
The protein p53 is constantly made and destroyed within a cell. Another protein, Mdm2, is a negative regulator of p53. In the presence of DNA damage, Mdm2 does not bind to p53, thus activating the p53 protein. This activation then promotes the mechanisms necessary to either fix or terminate the …
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The role of short term synamptic plasticity in temporal coding of neuronal networks
… signal processing namely, temporal integration and coincidence detection by modulating the input synaptic strength. This dissertation has two parts. First we study the effects of short term synaptic plasticity in enhancing coincidence detecting ability of neurons in the avian auditory brainstem. …
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Nonlinear waves in systems with PT/CP - symmetric potentials
… equation [1]. Particularly, the discrete system and lattice solitons are the main objects of investigation in this work. In this thesis, we consider a chain of dimers, that is modelled by linearly coupled DNLS equations with gain and loss terms as analogues of Parity-Time (PT) symmetric systems. …
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Modelling and analysis of ER fluid dampers: with application to tremor suppression
… suppression, while allowing voluntary motion. A candidate for the construction of such a damper is electrorheological (ER) fluid. When an electric field is applied to a volume of ER fluid, its material properties change from that of a Newtonian fluid to that of an elastic-plastic solid. These …
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Gold-nickel surface alloy chemistry with oxygen and carbon monoxide
… carbon monoxide oxidation on gold-nickel random surface alloys is molecularly (rather than atomically) adsorbed oxygen, and weakly bound carbon monoxide. To characterize these adsorbates, saturation coverages of each diatomic on Au-Ni(111) held at 80 K are separately measured via …
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Polymeric nitrogen by plasma enhanced chemical vapor deposition
… first principles calculations regarding the existence and stability of different polymeric nitrogen structures, their successful syntheses have been rare. This dissertation describes the first detailed study of a plasma-enhanced chemical vapor deposition (PECVD) approach to the synthesis of …
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Internal tide generation by tall ocean ridges
… acoustic communication, offshore structures and submarine navigation. This thesis addresses the generation of internal tides by tall submarine ridges using a combined analytical and experimental approach. The first part of the thesis is an experimental investigation of a pre-existing Green …
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Discreet dynamical population models : higher dimensional pioneer-climax models
… models in the literature for both continuous and discrete systems. This investigation begins with a general discrete model that subsumes almost all of the discrete population models currently in use. Some results related to the existence of fixed points are proved. Before launching into a …
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Dynamics of phase locking in neuronal networks in the presence of synaptic plasticity
… from the combined effects of individual cells and synaptic connections whose properties change dynamically. The properties of individual cells and synapses can often be characterized by driving the cell or synapse with inputs that arrive at different phases or frequencies, thus producing a …
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An Epidemic Model Structured By The Time Since Last Infection
… origin in the seminal work of 1927 by Kermack and McKendrick. Compared to ordinary differential equations (ODE) models, they are able to capture differences in infectivity of the individuals in a more suitable manner. Their use declined in the second half of the 20th century, probably because …
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Nonlinear thermoacoustic oscillations of a ducted laminar premixed flame
Finding limit cycles and their stability is one of the central problems of nonlinear thermoacoustics. However, a limit cycle is not the only type of self-excited oscillation in a nonlinear system. Nonlinear systems can have quasi-periodic and chaotic oscillations. This thesis examines the different …
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