21 
Experimental Evaluation of Viscous Hydrodynamic Force Models for Autonomous Underwater VehiclesMcCarter, Brian Raymond 04 September 2014 (has links)
A comparison of viscous hydrodynamic force models is presented, with application on an autonomous underwater vehicle (AUV). The models considered here are \emph{quasisteady}, meaning that force is expressed as a function of instantaneous vehicle state. This is in contrast to physical reality, where the force applied to a rigid body moving through a viscous fluid is historydependent. As a result, the comparison of models is restricted to how well they are able to recreate a force history, rather than how closely they represent the underlying physics. Of the models under consideration, no single model performs significantly better than the others, but several perform worse.
Each viscous hydrodynamic force model presented here is expressed as a linear combination of basis functions, which are nonlinear functions of bodyrelative velocity. The greater dynamical model is presented in a rigidbody framework with six degrees of freedom, with terms which account for inviscid fluid flow, restoring forces due to gravity, and control forces due to actuator motion. The models are selected from several that have been proposed in the literature, which include empiricallyderived and physicsbased models. Some models assume that the relationship between force and velocity is fundamentally linear or quadratic in nature, or make assumptions about coupled motion. The models are compared by their relative complexities, and also by their ability to reproduce data sets generated from field experiments. The complete dynamical equations are presented for each model, including coefficients suitable for use with the Virginia Tech 690 AUV. / Master of Science

22 
Improved Interpolation in SPH in Cases of Less Smooth FlowBrun, Oddny 01 January 2016 (has links)
We introduced a method presented in Information Field Theory (IFT) [Abramovich et al., 2007] to improve interpolation in Smoothed Particle Hydrodynamics (SPH) in cases of less smooth flow. The method makes use of wavelet theory combined with Bsplines for interpolation. The idea is to identify any jumps a function may have and then reconstruct the smoother segments between the jumps. The results of our work demonstrated superior capability when compared to a particular challenging SPH application, to better conserve jumps and more accurately interpolate the smoother segments of the function. The results of our work also demonstrated increased computational efficiency with limited loss in accuracy as number of multiplications and execution time were reduced. Similar benefits were observed for functions with spikes analyzed by the same method. Lesser, but similar effects were also demonstrated for real life data sets of less smooth nature. SPH is widely used in modeling and simulation of flow of matters. SPH presents advantages compared to grid based methods both in terms of computational efficiency and accuracy, in particular when dealing with less smooth flow. The results we achieved through our research is an improvement to the model in cases of less smooth flow, in particular flow with jumps and spikes. Up until now such improvements have been sought through modifications to the models' physical equations and/or kernel functions and have only partially been able to address the issue. This research, as it introduced wavelet theory and IFT to a field of science that, to our knowledge, not currently are utilizing these methods, did lay the groundwork for future research ideas to benefit SPH. Among those ideas are further development of criteria for wavelet selection, use of smoothing splines for SPH interpolation and incorporation of Bayesian field theory. Improving the method's accuracy, stability and efficiency under more challenging conditions such as flow with jumps and spikes, will benefit applications in a wide area of science. Just in medicine alone, such improvements will further increase real time diagnostics, treatments and training opportunities because jumps and spikes are often the characteristics of significant physiological and anatomic conditions such as pulsatile blood flow, peristaltic intestine contractions and organs' edges appearance in imaging.

23 
On Fixed Point Convergence of Linear Finite Dynamical SystemsLindenberg, Björn January 2016 (has links)
A common problem to all applications of linear finite dynamical systems is analyzing the dynamics without enumerating every possible state transition. Of particular interest is the long term dynamical behaviour, and if every element eventually converges on fixed points. In this paper, we study the number of iterations needed for a system to settle on a fixed set of elements. As our main result, we present two upper bounds on iterations needed, and each one may be readily applied to a fixed point system test. The bounds are based on submodule properties of iterated images and reduced systems modulo a prime.

24 
Stability theory and numerical analysis of nonautonomous dynamical systems.Stonier, D. J., mikewood@deakin.edu.au January 2003 (has links)
The development and use of cocycles for analysis of nonautonomous behaviour is a technique that has been known for several years. Initially developed as an extension to semigroup theory for studying rionautonornous behaviour, it was extensively used in analysing random dynamical systems [2, 9, 10, 12].
Many of the results regarding asymptotic behaviour developed for random dynamical systems, including the concept of cocycle attractors were successfully transferred and reinterpreted for deterministic nonautonomous systems primarily by P. Kloeden and B. Schmalfuss [20, 21, 28, 29]. The theory concerning cocycle attractors was later developed in various contexts specific to particular classes of dynamical systems [6, 7, 13], although a comprehensive understanding of cocycle attractors (redefined as pullback attractors within this thesis) and their role in the stability of nonautonomous dynamical systems was still at this stage incomplete.
It was this purpose that motivated Chapters 13 to define and formalise the concept of stability within nonautonomous dynamical systems. The approach taken incorporates the elements of classical asymptotic theory, and refines the notion of pullback attraction with further development towards a study of pullback stability arid pullback asymptotic stability. In a comprehensive manner, it clearly establishes both pullback and forward (classical) stability theory as fundamentally unique and essential components of nonautonomous stability. Many of the introductory theorems and examples highlight the key properties arid differences between pullback and forward stability. The theory also cohesively retains all the properties of classical asymptotic stability theory in an autonomous environment. These chapters are intended as a fundamental framework from which further research in the various fields of nonautonomous
dynamical systems may be extended.
A preliminary version of a Lyapunovlike theory that characterises pullback attraction is created as a tool for examining nonautonomous behaviour in Chapter 5. The nature of its usefulness however is at this stage restricted to the converse theorem of asymptotic stability.
Chapter 7 introduces the theory of Loci Dynamics. A transformation is made to an alternative dynamical system where forward asymptotic (classical asymptotic) behaviour characterises pullback attraction to a particular point in the original dynamical system. This has the advantage in that certain conventional techniques for a forward analysis may be applied.
The remainder of the thesis, Chapters 4, 6 and Section 7.3, investigates the effects of perturbations and discretisations on nonautonomous dynamical systems known to possess structures that exhibit some form of stability or attraction. Chapter 4 investigates autonomous systems with semigroup attractors, that have been nonautonomously perturbed, whilst Chapter 6 observes the effects of discretisation on nonautonomous dynamical systems that exhibit properties of forward asymptotic stability. Chapter 7 explores the same problem of discretisation, but for pullback asymptotically stable systems. The theory of Loci Dynamics is used to analyse the nature of the discretisation, but establishment of results directly analogous to those discovered in Chapter 6 is shown to be unachievable. Instead a case by case analysis is provided for specific classes of dynamical systems, for which the results generate a numerical approximation of the pullback attraction in the original continuous dynamical system.
The nature of the results regarding discretisation provide a nonautonomous extension to the work initiated by A. Stuart and J. Humphries [34, 35] for the numerical approximation of semigroup attractors within autonomous systems. . Of particular importance is the effect on the system's asymptotic behaviour over nonfinite intervals of discretisation.

25 
Polygonal approximation for flowsBoczko, Erik M. 12 1900 (has links)
No description available.

26 
Carbon Injection into Electric Arc Furnace SlagsZhu, Taixi 04 1900 (has links)
<p>Recent experiment in our laboratory demonstrates that an increase in slag foamingwith carbon injection rate is limited by slag volume. The current work has identified arelationship between foam height, carbon injection rate and slag volumes, whichpredicts the critical injection rate above which foaming become inefficient. Theprediction of critical injection rate employs an extension of understanding mechanismof bubble movement in the foam by estimating average/steadystate bubble size andwall thickness. The carbon gasification model developed in our laboratory by King etal., which has been extended to include greater consideration of gas bubble burstingwhen to predict bubble size, and further improvement for calculating how fast bubblecan burst instantaneously in carbongasslag halo system, has found that has importantinfluence on the predicting foaming parameters in King’s model, which is crucial taskfor continuous development in future.</p> / Master of Applied Science (MASc)

27 
Spectral Stability of Nonlinear Waves in Dynamical SystemsChugunova, Marina 09 1900 (has links)
<p>Pages 8, 38, 70, 116 and 120 have no body of text in the hardcopy. All are end pages of sections with a title at the top.</p> / <p>Many symbols could not be replicated using the Special Characters list. Please download thesis to read abstract.</p> / Doctor of Philosophy (PhD)

28 
Effective Stochastic Models of Neuroscientific Data with Application to Weakly Electric FishMelanson, Alexandre 23 April 2019 (has links)
Neural systems are often stochastic, nonlinear, and nonautonomous. The complex manifestation of these aspects hinders the interpretation of neuroscientific data. Neuroscience
thus benefits from the inclusion of theoretical models in its methodology. Detailed biophysical models of neural systems, however, are often plagued by highdimensional and poorly constrained parameter spaces. As an alternative, datadriven effective models can often explain the core dynamical features of a dataset with few underlying assumptions. By lumping highdimensional fluctuations into lowdimensional stochastic terms, observed timeseries can be wellrepresented by stochastic dynamical systems. Here, I apply this approach to two datasets from weakly electric fish. The rate of electrosensory sampling of freely behaving fish displays spontaneous transitions between two preferred values: an active exploratory state and a resting state. I show that, over a long timescale, this rate can be modelled with a stochastic doublewell system where a slow external agent modulates the relative depth of the wells. On a shorter timescale, however, fish exhibit abrupt and transient increases in sampling rate not consistent with a diffusion process. I develop and apply a novel inference method to construct a jumpdiffusion process that fits the observed fluctuations. This same technique is successfully applied to intrinsic membrane voltage noise in pyramidal neurons of the primary electrosensory processing area, which display abrupt depolarization events along with diffusive fluctuations. I then characterize a novel sensory acquisition strategy whereby fish adopt a rhythmic movement pattern coupled with stochastic oscillations of their sampling rate. Lastly, in the context of differentiating between selfgenerated and external electrosensory signals, I model the sensory signature of communication signals between fish. This analysis provides supporting evidence for the presence of a sensory ambiguity associated with these signals.

29 
Maps with holesClark, Lyndsey January 2016 (has links)
No description available.

30 
Ruelle transfer operator and its applications.January 2011 (has links)
Li, Yong. / Thesis (M.Phil.)Chinese University of Hong Kong, 2011. / Includes bibliographical references (p. 5860). / Abstracts in English and Chinese. / Chapter 1  Introduction  p.1 / Chapter 2  "Entropy, Pressure and Variational Principle"  p.4 / Chapter 2.1  Entropy  p.5 / Chapter 2.1.1  Entropy of a Partition  p.5 / Chapter 2.1.2  Conditional Entropy  p.6 / Chapter 2.1.3  Entropy of a MeasurePreserving Transformation  p.7 / Chapter 2.2  Topological Pressure  p.9 / Chapter 3  Ruelle Operator Theorem  p.11 / Chapter 3.1  Ruelle Operator Theorem  p.11 / Chapter 3.2  Subshifts of Finite Type  p.26 / Chapter 4  Applications in Dimension Theory  p.35 / Chapter 4.1  Hausdorff Dimension of CookieCutter Sets  p.35 / Chapter 4.2  General Case  p.44 / Bibliography  p.58

Page generated in 0.0815 seconds