Dissertations / Theses: 'Chaos theory'

1

何振林 and Albert Ho. "Chaos theory and security analysis." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1991. http://hub.hku.hk/bib/B31264931.

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Ho, Albert. "Chaos theory and security analysis /." [Hong Kong] : University of Hong Kong, 1991. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13055227.

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3

Kennedy, R. Scott. "Synthesis of chaos theory & design." Thesis, Virginia Tech, 1994. http://hdl.handle.net/10919/42000.

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The design implications of chaos theory are explored. What does this theory mean, if anything, to landscape architecture or architecture?

In order to investigate these questions, the research was divided into four components relevant to design. First, philosophical- chaos offers a nonlinear understanding about place and nature. Second, aesthetical- fractals describe a deep beauty and order in nature. Thirdly, modeling-it is a qualitative method of modeling natural processes. Lastly, managing- concepts of chaos theory can be exploited to mimic processes found in nature. These components draw from applications and selected literature of chaos theory.

From these research components, design implications were organized and concluded. Philosophical implications, offer a different, nonlinear realization about nature for designers. Aesthetic conclusions, argue that fractal geometry can articulate an innate beauty (a scaling phenomenon) in nature. Modeling, discusses ways of using chaos theory to visualize the design process, a process which may be most resilient when it is nonlinear. The last research chapter, managing, applications of chaos theory are used to illustrate how complex form, like that in nature, can be created by designers.

Master of Landscape Architecture

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Koperski, Jeffrey David. "Defending chaos: An examination and defense of the models used in chaos theory /." The Ohio State University, 1997. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487945015616055.

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5

Thweatt-Bates, Jennifer Jeanine. "Chaos theory and the problem of evil." Online full text .pdf document, available to Fuller patrons only, 2002. http://www.tren.com.

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6

Ghosh, Archisman. "TIME-DEPENDENT SYSTEMS AND CHAOS IN STRING THEORY." UKnowledge, 2012. http://uknowledge.uky.edu/physastron_etds/9.

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One of the phenomenal results emerging from string theory is the AdS/CFT correspondence or gauge-gravity duality: In certain cases a theory of gravity is equivalent to a "dual" gauge theory, very similar to the one describing non-gravitational interactions of fundamental subatomic particles. A difficult problem on one side can be mapped to a simpler and solvable problem on the other side using this correspondence. Thus one of the theories can be understood better using the other. The mapping between theories of gravity and gauge theories has led to new approaches to building models of particle physics from string theory. One of the important features to model is the phenomenon of confinement present in strong interaction of particle physics. This feature is not present in the gauge theory arising in the simplest of the examples of the duality. However this N = 4 supersymmetric Yang-Mills gauge theory enjoys the property of being integrable, i.e. it can be exactly solved in terms of conserved charges. It is expected that if a more realistic theory turns out to be integrable, solvability of the theory would lead to simple analytical expressions for quantities like masses of the hadrons in the theory. In this thesis we show that the existing models of confinement are all nonintegrable--such simple analytic expressions cannot be obtained. We moreover show that these nonintegrable systems also exhibit features of chaotic dynamical systems, namely, sensitivity to initial conditions and a typical route of transition to chaos. We proceed to study the quantum mechanics of these systems and check whether their properties match those of chaotic quantum systems. Interestingly, the distribution of the spacing of meson excitations measured in the laboratory have been found to match with level-spacing distribution of typical quantum chaotic systems. We find agreement of this distribution with models of confining strong interactions, conforming these as viable models of particle physics arising from string theory.

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Klages, Rainer. "Deterministic chaos and diffusion: from theory to experiments." Diffusion fundamentals 2 (2005) 24, S. 1-2, 2005. https://ul.qucosa.de/id/qucosa%3A14354.

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Bullock, Mercedes. "Translating “Lunokhod”: Textual Order, Chaos and Relevance Theory." Thesis, Université d'Ottawa / University of Ottawa, 2020. http://hdl.handle.net/10393/40981.

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This thesis examines the concepts of textual order and chaos, and how Relevance Theory can be used to translate texts that do not adhere to conventional textual practices. Relevance Theory operates on the basis of presumed order in communication. Applying it to disordered communicative acts provides an opportunity and vocabulary to describe how communication can break down, and the consequences this can have for translation. This breakdown of order, which I am terming a ‘chaos principle’, will be examined through the lens of a Russian-language short story called “Lunokhod”, a story in which textual order, as described by Relevance Theory, breaks down. In this thesis, I first lay out several translation challenges presented by my corpus, discuss each with reference to Relevance Theory, and examine the implications for translation through sample translation segments. This deconstruction section argues that conventional translation methods fail to properly address the challenges of my corpus. Next comes a reconstruction section, in which I develop a theoretical framework for my translation that has roots in Relevance Theory but that frees the translation from the constraints imposed by an ordered view of communication. Finally, I present the translation itself.

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Harrell, Maralee. "Chaos and reliable knowledge /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2000. http://wwwlib.umi.com/cr/ucsd/fullcit?p9987534.

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Krcelic, Khristine M. "Chaos and Dynamical Systems." Youngstown State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1364545282.

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Snaith, Nina Claire. "Random matrix theory and zeta functions." Thesis, University of Bristol, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.322610.

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Monte, Brent M. "Chaos and the stock market." CSUSB ScholarWorks, 1994. https://scholarworks.lib.csusb.edu/etd-project/860.

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Bengtsson, Jonas. "Thriving at the Edge of Chaos." Thesis, Blekinge Tekniska Högskola, Institutionen för programvaruteknik och datavetenskap, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-5975.

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In this master thesis two different worldviews are compared: a mechanistic, and an organic worldview. The way we think the world and the nature work reflects on how we think organizations work, or how they ought to work. The mechanistic worldview has dominated our way of thinking since the seventeenth century, and it compares the world with a machine. The organic worldview could use a number of different metaphors, but the one addressed in this thesis is complexity theory. Complexity theory is related to chaos theory and is concerned with complex adaptive systems (cas). Complex adaptive systems exist everywhere and are systems such as the human immune system, economies, and ecosystems. What complexity theory tries to do is to understand these systems—how they arise, how they function and how order emerge in them. When looking at complex adaptive systems you can’t just look at the different parts. You must take a more holistic view and look at the whole and the interaction of the parts. If you just look at the parts you will miss the emergent properties that have emerged as the system has self-organized. One prominent aspect of these systems is that they don’t have any central authority, but somehow order do arise. In relation to organizations, complexity theory has something to say about almost all aspects of organizations: from what kind of leadership is needed, and how teams should be organized to the physical structure of the organization. To understand what complexity theory is and how to relate that to (software developing) organizations is the main focus of this thesis. Scrum is an agile and lightweight process which can be applied on development projects in general, but have been used in such diverse examples as software development projects, marketing programs, and business process reengineering (BPR) initiatives. In this thesis Scrum is used as an example of how to apply complexity theory to organizations. The result of the thesis showed that Scrum is highly influenced and compatible with complexity theory, which implies that complexity theory is of some use in software development. However, there are more work to be done to determine how effective it is, how to introduce it into organizations, and to explore more specific implementations. This master thesis should give the reader a good understanding of what complexity theory is, some specific issues to consider when applying complexity theory on organizations, and some specific examples of how to apply complexity theory on organizations.

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Genovese, Greg. "Does chaos theory have anything to do with literature? /." Title page, contents and introduction only, 1995. http://web4.library.adelaide.edu.au/theses/09AR/09arg3352.pdf.

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15

Smith, Andrew Peter. "Consumer's product choice behaviour : an application of chaos theory." Thesis, University of Stirling, 2000. http://hdl.handle.net/1893/1452.

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The primary aim of this thesis is to apply chaos theory to consumer behaviour research. Chaos theory is essentially a theory of time series. The specific focus is product choice consumption behaviour. The conceptual basis for the work is taken from a theory thus far developed entirely outwith the topic focus of consumer research and marketing. The concepts and methods developed by chaos theorists in the natural sciences and some social and behavioural sciences are synthesised with concepts and methods from consumer research. The objective is to both shed light on the consumption process and explore the potential of chaos theory in this field. Ultimately the work attempts to address the question of whether consumer behaviour can be 'chaotic' as described by chaos theory.In order to facilitate these objectives a diary study was conducted using sixty respondents. They were required to record their consumption of branded products for a period of three months. Five product categories were used with informants recording consumption of only one product type (twelve informants in each group). The product groups were as follows: soft drinks; savoury snacks; beer; chocolate snacks and packaged yoghurts and desserts. The data was coded and analysed by methods selected prior to data capture: weighted time series, spectral analysis and phase space analysis. One of the principal findings of the research was that distinctive forms of behaviour were identifiable within the data set as a whole from which a five-fold typology is proposed. However the complexity and individuality of the forms was marked despite this apparent typology. The spectral analysis shows little evidence of regular or periodic patterned behaviour; the series are essentially aperiodic. The phase space analysis reinforces and enhances the analysis of the weighted time series and suggests the series tend more towards chaos than ordered behaviour. The series obey certain 'rules' (i.e. they are 'randomised' but not random) consistent with the existence of determnistic chaos. Moreover they appear globally stable and locally unstable. These findings have a number of implications for various areas of consumer research (e.g. varety seeking, loyalty and other aspects of consumption) and successfully extend the application of chaos theory to another area of human behaviour research.

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Liu, Bo. "Selected Topics in Scattering Theory: From Chaos to Resonance." Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:14226094.

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Scattering problem is one of the most fundamental problems in physics, spanning almost all areas of physics. In this dissertation, we focus on scattering theory in two types of systems: two dimensional electron scattering in the presence of a random potential and light scattering by metallic nanoparticles. The first scattering problem we study is electron branched flow. In this system, electrons are confined to move in two dimensions while a smoothly changing weak random potential deflects their trajectories, resulting in the so-called branched flow. A semiclassical theory based on ray tracing was developed to explain all the observed features of branched flow. However, this semiclassical theory was challenged by the result of a more recent experiment, which claims to have uncovered "unexpected features of branched flow". We show how these features can actually be explained by the semiclassical theory. Besides electron scattering, we also investigate light scattering by metallic nanoparticles. In this case, we study the multiple scattering effect in the plasmon dimer system and show that one can use these metallic nanoparticles to put the incoming electromagnetic fields into different shapes by solving an inverse scattering problem.

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17

Timberlake, Todd Keene. "Signatures of chaos in periodically driven quantum systems /." Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3008458.

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Narh, Abraham Tetteh. "The application of chaos theory to forecast urban traffic conditions." Thesis, University of Newcastle upon Tyne, 2016. http://hdl.handle.net/10443/3189.

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This thesis explores the application of Chaos Theory to forecast urban traffic conditions. The research takes advantage of a highly resolved temporal and spatial data available from the Split Cycle Optimisation Technique (SCOOT) system, in order to overcome the limitations of previous studies to investigate applying Chaos Theory in traffic management. This thesis reports on the development of a chaos-based algorithm and presents results from its application to a SCOOT controlled region in the city of Leicester, UK. A Phase Space Reconstruction method is used to analyse non-linear data from the SCOOT system, and establishes that a 20 second resolved data is suitable for understanding the dynamics of the traffic system. The research develops the Lyapunov exponent as a chaos-based parameter to forecast link occupancy using a multiple regression model based on the temporal and spatial relationships across the links in the network. The model generates a unique forecast function for each link for every hour of the day. The study demonstrates that Lyapunov exponents can be used to predict the occupancy profile of links in the network to a reasonably high level of accuracy (R-values generally greater than 0.6). Evidence also suggests that the predictions from the Lyapunov exponents (rather than occupancy) make it possible to report on the impending conditions over a wider part of the network so that imminent congested conditions can be foreseen in advance and mitigation measures implemented. Thus, the thesis concludes that incorporating chaos-based algorithms in this way can enable urban traffic control systems to be one-step ahead of traffic congestion, rather than one-step behind. This would improve the management of traffic on a more strategic level rather than purely within smaller network regions thus playing an important role in improving journey times and air quality and making a vital contribution to mitigating climate change.

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Colijn, Caroline. "Addressing complexity, exploring social change through chaos and complexity theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/mq43374.pdf.

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20

Sweet, Virginia K. "Exploring the implicate order in public organizations: the complementarity of Bowen theory and chaos theory." Diss., Virginia Tech, 1996. http://hdl.handle.net/10919/39583.

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Sweet, Virginia K. "Exploring the implicate order in public organziations : the complementarity of Bowen theory and chaos theory /." This resource online, 1996. http://scholar.lib.vt.edu/theses/available/etd-10032007-172119/.

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22

Taylor, Imogen T. F. "Control and synchronisation of coupled map lattices : interdisciplinary modelling of synchronised dynamic behaviour (insects in particular)." Thesis, University of Derby, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.275687.

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23

Vogelová, Tereza. "Chaos." Master's thesis, Vysoké učení technické v Brně. Fakulta výtvarných umění, 2012. http://www.nusl.cz/ntk/nusl-232326.

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The existing world is becoming more disrupted and is falling apart. For its resurrection and restoration, a new way of thinking is necessary. This new type of thinking is needed to be able to open up its mind and to think about the process of thinking itself; it must understand what is happening in other systems, where processes seem to be taking place by themselves without any other visible interference. First Chaos is the title for an intermedia installation which contains 90 black and white photographs, both digital and analogue, all of which were taken between the years 2008 and 2012. Together, the photographs create one coherent piece – a kind of sculpture. They can evoke a "still film" with a non-linear, cyclical storyline, whilst the images can simultaneously function individually, without any connection to other photographs.

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Lawler, Kevin Anthony. "Oligopoly theory & industrial economics : aspects of key theoretical and empirical issues." Thesis, University of Sunderland, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.363949.

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Lander, Dorothy Agnes. "Telling tales out of school : author-ising the university as a service organ-isation for first year students." Thesis, University of Nottingham, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.339604.

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26

Milliner, Lloyd A., and n/a. "Systems Thinking and Strategic Decision-Making: A Consideration of Chaos Theory." Griffith University. Griffith Business School, 2006. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20070212.162743.

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Strategic decision-making is a fundamental process in business management as strategic decisions affect the long-term health of the organisation. However, a constantly and unpredictably changing business environment, becoming progressively more complex as time passes makes strategy formulation increasingly difficult. Shock events such as terrorist attacks, rapidly spreading communicable diseases, and unexpected business failures of large and well-established companies greatly affect organisations by making it difficult to effectively plan for the future. This thesis contributes to the strategic decision-making literature by investigating the role of shock events in a complex system, namely strategic decision-making. Using chaos/complexity theory as an intellectual platform this thesis argues that strategic decision-making is a complex, open, dynamic and non-linear system and that shock events can represent an opportunity in strategic decision-making. A number of contemporary writers are calling for more integrated models. In response this research proposes a generic and integrative framework that highlights the complexity of strategic decision-making and its processes. The research is qualitative and a single-case study approach was chosen, examining the decision-making processes in a large Australian regional airport. Data collection was triangulated, consisting mainly of in-depth interviews with executives but also included questionnaires, and quantitative and qualitative archival data. It was found that shock events influenced strategic decision-making by causing evolutionary changes in the strategic decision-making processes. In addition it was found that shock events impacted on internal drivers such as cognition and organisational culture. The shock event was perceived as an opportunity, which resulted in changing decision-making processes a change in business strategy. It was concluded that environmental perception, intuition and an opportunity-seeking culture can play an important part in strategic decision-making following a shock event.

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Ben-Hamou, Eric. "Application of Malliavin Calculus and Wiener chaos to option pricing theory." Thesis, London School of Economics and Political Science (University of London), 2001. http://etheses.lse.ac.uk/2498/.

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This dissertation provides a contribution to the option pricing literature by means of some recent developments in probability theory, namely the Malliavin Calculus and the Wiener chaos theory. It concentrates on the issue of faster convergence of Monte Carlo and Quasi-Monte Carlo simulations for the Greeks, on the topic of the Asian option as well as on the approximation for convexity adjustment for fixed income derivatives. The first part presents a new method to speed up the convergence of Monte- Carlo and Quasi-Monte Carlo simulations of the Greeks by means of Malliavin weighted schemes. We extend the pioneering works of Fournie et al. (1999), (2000) by deriving necessary and sufficient conditions for a function to serve as a weight function and by providing the weight function with minimum variance. To do so, we introduce its generator defined as its Skorohod integrand. On a numerical example, we find evidence of spectacular efficiency of this method for corridor options, especially for the gamma calculation. The second part brings new insights on the Asian option. We first show how to price discrete Asian options consistent with different types of underlying densities, especially non-normal returns, by means of the Fast Fourier Transform algorithm. We then extends Malliavin weighted schemes to continuous time Asian options. In the last part, we first prove that the Black Scholes convexity adjustment (Brotherton-Ratcliffe and Iben (1993)) can be consistently derived in a martingale framework. As an application, we examine the convexity bias between CMS and forward swap rates. However, for more complicated term structures assumptions, this approach does not hold any more. We offer a solution to this, thanks to an approximation formula, in the case of multi-factor lognormal zero coupon models, using Wiener chaos theory.

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Deng, Zhi-De. "Stochastic chaos and thermodynamic phase transitions : theory and Bayesian estimation algorithms." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/41649.

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Thesis (M. Eng. and S.B.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2007.
Includes bibliographical references (p. 177-200).
The chaotic behavior of dynamical systems underlies the foundations of statistical mechanics through ergodic theory. This putative connection is made more concrete in Part I of this thesis, where we show how to quantify certain chaotic properties of a system that are of relevance to statistical mechanics and kinetic theory. We consider the motion of a particle trapped in a double-well potential coupled to a noisy environment. By use of the classic Langevin and Fokker-Planck equations, we investigate Kramers' escape rate problem. We show that there is a deep analogy between kinetic rate theory and stochastic chaos, for which we propose a novel definition. In Part II, we develop techniques based on Volterra series modeling and Bayesian non-linear filtering to distinguish between dynamic noise and measurement noise. We quantify how much of the system's ergodic behavior can be attributed to intrinsic deterministic dynamical properties vis-a-vis inevitable extrinsic noise perturbations.
by Zhi-De Deng.
M.Eng.and S.B.

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29

Edmonds, Andrew Nicola. "Time series prediction using supervised learning and tools from chaos theory." Thesis, University of Bedfordshire, 1996. http://hdl.handle.net/10547/582141.

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In this work methods for performing time series prediction on complex real world time series are examined. In particular series exhibiting non-linear or chaotic behaviour are selected for analysis. A range of methodologies based on Takens' embedding theorem are considered and compared with more conventional methods. A novel combination of methods for determining the optimal embedding parameters are employed and tried out with multivariate financial time series data and with a complex series derived from an experiment in biotechnology. The results show that this combination of techniques provide accurate results while improving dramatically the time required to produce predictions and analyses, and eliminating a range of parameters that had hitherto been fixed empirically. The architecture and methodology of the prediction software developed is described along with design decisions and their justification. Sensitivity analyses are employed to justify the use of this combination of methods, and comparisons are made with more conventional predictive techniques and trivial predictors showing the superiority of the results generated by the work detailed in this thesis.

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30

Milliner, Lloyd A. "Systems Thinking and Strategic Decision-Making: A Consideration of Chaos Theory." Thesis, Griffith University, 2006. http://hdl.handle.net/10072/366984.

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Strategic decision-making is a fundamental process in business management as strategic decisions affect the long-term health of the organisation. However, a constantly and unpredictably changing business environment, becoming progressively more complex as time passes makes strategy formulation increasingly difficult. Shock events such as terrorist attacks, rapidly spreading communicable diseases, and unexpected business failures of large and well-established companies greatly affect organisations by making it difficult to effectively plan for the future. This thesis contributes to the strategic decision-making literature by investigating the role of shock events in a complex system, namely strategic decision-making. Using chaos/complexity theory as an intellectual platform this thesis argues that strategic decision-making is a complex, open, dynamic and non-linear system and that shock events can represent an opportunity in strategic decision-making. A number of contemporary writers are calling for more integrated models. In response this research proposes a generic and integrative framework that highlights the complexity of strategic decision-making and its processes. The research is qualitative and a single-case study approach was chosen, examining the decision-making processes in a large Australian regional airport. Data collection was triangulated, consisting mainly of in-depth interviews with executives but also included questionnaires, and quantitative and qualitative archival data. It was found that shock events influenced strategic decision-making by causing evolutionary changes in the strategic decision-making processes. In addition it was found that shock events impacted on internal drivers such as cognition and organisational culture. The shock event was perceived as an opportunity, which resulted in changing decision-making processes a change in business strategy. It was concluded that environmental perception, intuition and an opportunity-seeking culture can play an important part in strategic decision-making following a shock event.
Thesis (Masters)
Master of Philosophy (MPhil)
Griffith Business School
Griffith Business School
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31

Budanur, Nazmi Burak. "Exact coherent structures in spatiotemporal chaos: From qualitative description to quantitative predictions." Diss., Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/54445.

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The term spatiotemporal chaos refers to physical phenomena that exhibit irregular oscillations in both space and time. Examples of such phenomena range from cardiac dynamics to fluid turbulence, where the motion is described by nonlinear partial differential equations. It is well known from the studies of low dimensional chaotic systems that the state space, the space of solutions to the governing dynamical equations, is shaped by the invariant sets such as equilibria, periodic orbits, and invariant tori. State space of partial differential equations is infinite dimensional, nevertheless, recent computational advancements allow us to find their invariant solutions (exact coherent structures) numerically. In this thesis, we try to elucidate the chaotic dynamics of nonlinear partial differential equations by studying their exact coherent structures and invariant manifolds. Specifically, we investigate the Kuramoto-Sivashinsky equation, which describes the velocity of a flame front, and the Navier-Stokes equation for an incompressible fluid in a circular pipe. We argue with examples that this approach can lead to a theory of turbulence with predictive power.

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Green, Johney Boyd Jr. "Application of deterministic chaos theory to cyclic variability in spark-ignition engines." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/16809.

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Cathro, Heather L. "Navigating through chaos| Charge nurses and patient safety. A grounded theory study." Thesis, University of Phoenix, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=3708849.

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Patient safety is a prominent issue in health care as evidenced by the staggering statistics of deaths and harm due to preventable medical errors. As front line clinical leaders, charge nurses (CNs) have key roles in keeping patients safe. There is a gap in knowledge of the specific actions and processes CNs implement to keep patients safe. This study attempted to narrow this gap by exploring actions and processes CNs implement to keep patients safe using a grounded theory design and generating a substantive theory that can inform CN job descriptions, serve as the basis for CN orientation and training, and empower CNs to promote patient safety in practice. This study utilized purposive sampling of CNs on medical-surgical units with data collected through 11 interviews and six observations. The substantive theory that emerged was Navigating through Chaos: CNs balancing multiple roles, maintaining a watchful eye and working with and leading the health care team to keep patients safe. This study contributes to the knowledge base of the CN role related to patient safety. Recommendations to maximize the potential of the CN role in promoting patient safety include clearly defining CN role responsibilities, addressing staffing shortages, and providing CNs with the necessary information to complete their work. The specific actions and processes identified in this study can be incorporated into course content on clinical nursing leadership. The substantive theory can also guide further research to study relationships between specific CN actions and processes and patient safety outcomes.

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Arnold, Christopher. "The dynamics of reading acquisition : applications of chaos theory to literacy development." Thesis, University of Wolverhampton, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395194.

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Murray, Lisa Jane. "Application of chaos theory to short term prediction of high resolution rainfall." Thesis, University of Exeter, 2010. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.548621.

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Wolfson, Michael Aaron. "Kinetic theory of waves in random media and amelioration of classical chaos." Diss., The University of Arizona, 1994. http://hdl.handle.net/10150/186895.

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The approach to the classical limit of wave mechanics is investigated where, in the classical limit, the dynamical system is nonintegrable and the motion in phase space is chaotic. The problem is cast in the setting of wave propagation in random media, and the fundamental starting point is an idealized stochastic parabolic wave equation (SPE) in two space dimensions with plane wave initial data. The potential is taken to have mean zero, strength ε ≪ 1 fluctuations which are homogeneous, isotropic, and have a single scale. The formal classical limit of the SPE, the parabolic ray equations are inherently non-integrable for any given realization of the potential. For the relative motion of two particles, an advection-diffusion Fokker-Planck equation is derived and shown for small initial separations to exhibit chaotic behavior, characterized by the existence of a positive Lyapunov exponent. It is shown that this physically relates to the exponential proliferation of caustics, or tendrils in phase space. A generalized wave kinetic equation (GWKE) is derived for the evolution in a relative phase space of a mean, two-particle Wigner function which corresponds classically to the advection-diffusion Fokker-Planck equation. The GWKE is analytically examined semi-classically by a novel boundary layer method (called the "extended quantum notch method") which enable the derivation of several important results: First, the "log time" (range) is obtained where semi-classical theory breaks down due to the saturation of caustics, then it is shown that this range is where the normalized intensity fluctuations (scintillation index) approaches unity. Finally, a wave (quantum) manifestation of classical chaos is seen to be the exponential decay of the scintillation index beyond its peak while on approach to saturation.

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In, Visarath. "Modification of nonlinear systems with chaos control and anticontrol." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/30898.

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Greybe, Sylvia Elizabeth. "Comparing chaos and complexity : the quest for knowledge." Thesis, Stellenbosch : Stellenbosch University, 2004. http://hdl.handle.net/10019.1/49889.

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Thesis (MA)--University of Stellenbosch, 2004.
ENGLISH ABSTRACT: The question of what it means to say one knows something, or has knowledge of something, triggered an epistemological study after the nature of knowledge and its acquisition. There are many different ways in which one can go about acquiring knowledge, manydifferent frameworks that one can use to search after truth. Because most real systems about which one could desire knowledge (organic, social, economic etc.) are non-linear, an understanding of non-linear systems is important for the process of acquiring knowledge. Knowledge exhibits the characteristics of a dynamic, adaptive system, and as such could be approached via a dynamic theory of adaptive systems. Therefore, chaos theory and complexity theory are two theoretical (non-linear) frameworks that can facilitate the knowledge acquisition process. As a modernist instrument for acquiring knowledge, chaos theory provides one with deterministic rules that make mathematical understanding of non-linear phenomenaa bit easier, but it is limited in that it can only provide one with certain knowledge up until the (system's) next bifurcation (i.e. when chaos sets in). After this, it is near impossible to predict what a chaotic system will do. Complexity theory, as a postmodern tool for knowledge acquisition, gives one insight into the dynamic, self-organising nature of the non-linear systems around one. By analysing the global stability complex systems produce during punctuated equilibrium, one can learn much about how these systems adapt, evolve and survive. Complexity and chaos, therefore, together can provide one with a useful framework for understanding the nature and workings of non-linear systems. However, it should be remembered that every observer of knowledge does so out of his/her own personal framework of beliefs, circumstances and history, and that knowledge therefore can never be 100 percent objective. Knowledge and truth can never be entirely relative either, however, for this would mean that all knowledge (and thereby all opposing claims and statements) is equally correct or true. This is clearly not possible. What is possible, though, is the fulfilling and successful pursuit of knowledge for the sake of the journey of learning and understandi ng.
AFRIKAANSE OPSOMMING: Die vraag na wat dit eintlik beteken om te sê mens weet iets, of dra kennis van iets, het na 'n epistemologiese soeke na die wese van kennis en die verwerwing daarvan toe gelei. Daar is baie maniere waarop mens kennis kan verwerf, baie verskillende raamwerke wat mens kan gebruik om te soek na waarheid. Omdat die meeste wesenlike stelsels waarvan mens kennis sou wou verkry (organies, sosiaal, ekonomies ens.) nie-lineêr is, is 'n verstaan van nie-lineêre stelsels belangrik vir die kennisverwerwingsproses. Kennis vertoon die eienskappe van I n dinamiese, aanpassende stelsel, en kan dus via 'n dinamiese teorie van aanpassendestelsels benader word. Daarom is chaosteorie en kompleksiteitsteorie twee teoretiese (nie-lineêre) raamwerke wat die proses van kennisverwerwing kan vergemaklik. As I n modernistiese instrument vir kennisverwerwing, verskaf chaosteorie deterministiese reëls wat die wiskundige verstaan van nie-lineêre verskynsels bietjie vergemaklik, maar dit is beperk deurdat dit net sekere kennis tot op die (stelsel se) volgende splitsing (d.w.s. waar chaos begin) verskaf. Hierna, word dit naasonmoontlik om te voorspel wat I n chaotiese stelsel gaandoen. Kompleksiteitsteorie, as I n postmodernistiese gereedskap vir kennisverwerwing, gee mens insig in die dinamiese, selforganiserende aard van die nie-lineêre stelsels om mens. Deur die globale stabiliteit wat komplekse stelsels gedurende onderbreekte ewewig ("punctuated equi/ibrium"}toon te analiseer, kan mens baie leer van hoe hierdie stelsels aanpas, ontwikkel en oorleef. Kompleksiteit en chaos, saam, kan mens dus van a nuttige raamwerk vir die verstaan van die wese en werkinge van nie-lineêre stelsels, voorsien. Daar moet egter onthou word dat elke waarnemer van kennis dit doen uit sy/haar persoonlike raamwerk van oortuiginge, omstandighede en geskiedenis, en dat kennis dus nooit 100 persent objektief kan wees nie. Kennis en waarheid kan egter ook nooit heeltemaal relatief wees nie, want dit sou beteken dat alle kennis (en hiermee ook alle teenstrydige aansprake en stellings) gelyk korrek of waar is. Hierdie is duidelik onmoontlik. Wat wel moontlik is, is die vervullende en suksesvolle strewe na kennis ter wille van die reis van leer en verstaan.

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39

Tang, Man. "A study of the nonlinear dynamics nature of ECG signals using Chaos theory." Click to view the E-thesis via HKUTO, 2005. http://sunzi.lib.hku.hk/hkuto/record/B34624843.

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Lefresne, Brian J. "Applications of chaos theory and fractal geometry in the music of Gyorgy Ligeti." Thesis, University of Ottawa (Canada), 2005. http://hdl.handle.net/10393/26952.

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In addition to incorporating various constructs from western and non-western music, 20th-century composer Gyorgy Ligeti utilises non-musical influences within his music. One such extra-musical source is the scientific field of chaos theory and fractal geometry. Three compositions that display qualities associated with this scientific field include Atmospheres , the Fourth Movement of the Konzert fur Klavier und Orchester, and Etude pour piano, No. 17, "A bout de souffle". Analysis and re-analysis of these works by the use of rhythmic and post-tonal theory will demonstrate the presence of elements associated with this field within his music. To enhance these findings, primary sources located at the Paul Sacher Stiftung in Basel, Switzerland will be examined. In conjunction, these three elements will show that the form and structure of the said works contain and display influences of this non-musical paradigm.

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Glenn, Tracy A. "The recategorization of "chaos" : a case study of language change and theory change /." Thesis, This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-11242009-020011/.

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Tang, Man, and 鄧敏. "A study of the nonlinear dynamics nature of ECG signals using Chaos theory." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B34624843.

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Xu, Mu. "Spatiotemporal Chaos in Large Systems Driven Far-From-Equilibrium: Connecting Theory with Experiment." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/79499.

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There are still many open questions regarding spatiotemporal chaos although many well developed theories exist for chaos in time. Rayleigh-B'enard convection is a paradigmatic example of spatiotemporal chaos that is also experimentally accessible. Discoveries uncovered using numerics can often be compared with experiments which can provide new physical insights. Lyapunov diagnostics can provide important information about the dynamics of small perturbations for chaotic systems. Covariant Lyapunov vectors reveal the true direction of perturbation growth and decay. The degree of hyperbolicity can also be quantified by the covariant Lyapunov vectors. To know whether a dynamical system is hyperbolic is important for the development of a theoretical understanding. In this thesis, the degree of hyperbolicity is calculated for chaotic Rayleigh-B'enard convection. For the values of the Rayleigh number explored, it is shown that the dynamics are non-hyperbolic. The spatial distribution of the covariant Lyapunov vectors is different for the different Lyapunov vectors. Localization is used to quantify this variation. The spatial localization of the covariant Lyapunov vectors has a decreasing trend as the order of the Lyapunov vector increases. The spatial localization of the covariant Lyapunov vectors are found to be related to the instantaneous Lyapunov exponents. The correlation is stronger as the order of the Lyapunov vector decreases. The covariant Lyapunov vectors are also computed using a spectral element approach. This allows an exploration of the covariant Lyapunov vectors in larger domains and for experimental conditions. The finite conductivity and finite thickness of the lateral boundaries of an experimental convection domain is also studied. Results are presented for the variation of the Nusselt number and fractal dimension for different boundary conditions. The fractal dimension changes dramatically with the variation of the finite conductivity.
Ph. D.

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Baker, Suzan B. "Chaos Theory in Educational Systems: Principals' Perceptions of Sensitive Dependence on Initial Conditions." Digital Commons @ East Tennessee State University, 1995. https://dc.etsu.edu/etd/2633.

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This study investigated the characteristic of chaos theory called sensitive dependence on initial conditions or butterfly effect in schools and school systems. The purpose of the study was to develop insight into school systems by determining if categories or factors of behaviors or decisions have been observed in school systems which are sensitive to initial conditions and are therefore likely to produce exponential effects. A modified critical incident technique was used to collect data from experienced principals in three moderate sized regions in Tennessee, North Carolina, and Virginia. Participants reported incidents that were sensitive to initial conditions during interviews. The data were analyzed by summarizing incidents reported in interviews and sorting to determine factors in schools and school systems which were sensitive to initial conditions. Six factors of schools were identified from data reported by principals that generated butterfly effect incidents. Those factors included curriculum, discipline, extracurricular activities, personnel, school community, and transportation/facilities. School system levels of origination of incidents were also identified with most incidents beginning at the school level. Also principals reported more incidents were precipitated by decisions than by behaviors. Categories of ripple effects of incidents also emerged from the data analysis. These included initial, communication, emotional, mediation, news media, coercive and outcome ripple effects.

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Hyde, Griffin Nicholas. "Investigation into the Local and Global Bifurcations of the Whirling Planar Pendulum." Thesis, Virginia Tech, 2019. http://hdl.handle.net/10919/91395.

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This thesis details the investigation into the Whirling Planar Pendulum system. The WPP is a pendulum that is spun around a vertical spin axis at a controllable horizontal offset. This dynamical system exhibits both local and global bifurcations. The local pitchfork bifurcation leads to the splitting of a single stable equilibrium point into three (two stable and one unstable), as the spin rate is increased. The global bifurcations lead to two independent types of chaotic oscillations which are induced by sinusoidal excitations. The types of chaos are each associated with one of two homoclinic orbits in the system's phase portraits. The onset of each type of chaos is investigated through Melnikov's Method applied to the system's Hamiltonian, to find parameters at which the stable and unstable manifolds intersect transversely, indicating the onset of chaotic motion. These results are compared to simulation results, which suggest chaotic motion through the appearance of strange attractors in the Poincaré maps. Additionally, evidence of the WPP system experiencing both types of chaos simultaneously was found, resulting in a merger of two distinct types of strange attractor.
Master of Science
This report details the investigation into the Whirling Planar Pendulum system. The WPP is a pendulum that is spun around a vertical spin axis at a controllable horizontal offset. This system can be used to investigate what are known as local and global bifurcations. A local bifurcation occurs when the single equilibrium state (corresponding to the pendulum hanging straight down) when spun at low speeds, bifurcates into three equilibria when the spin rate is increased beyond a certain value. The global bifurcations occur when the system experiences sinusoidal forcing near certain equilibrium conditions. The resulting chaotic oscillations are investigated using Melnikov’s method, which determines when the sinusoidal forcing results in chaotic motion. This chaotic motion comes in two types, which cause the system to behave in different ways. Melnikov’s method, and results from a simulation were used to determine the parameter values in which the pendulum experiences each type of chaos. It was seen that at certain parameter values, the WPP experiences both types of chaos, supporting the observation that these types of chaos are not necessarily independent of each other, but can merge and interact.

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Kalamangalam, G. P. "Nonlinear oscillations and chaos in chemical cardiorespiratory control." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.296830.

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We report progress made on an analytic investigation of low-frequency cardiorespiratory variability in humans. The work is based on an existing physiological model of chemically-mediated blood-gas control via the central and peripheral chemoreceptors, that of Grodins, Buell & Bart (1967). Scaling and simplification of the Grodins model yields a rich variety of dynamical subsets; the thesis focusses on the dynamics obtained under the normoxic assumption (i.e., when oxygen is decoupled from the system). In general, the method of asymptotic reduction yields submodels that validate or invalidate numerous (and more heuristic) extant efforts in the literature. Some of the physiologically-relevant behaviour obtained here has therefore been reported before, but a large number of features are reported for the first time. A particular novelty is the explicit demonstration of cardiorespiratory coupling via chemosensory control. The physiology and literature reviewed in Chapters 1 and 2 set the stage for the investigation. Chapter 3 scales and simplifies the Grodins model; Chapters 4, 5, 6 consider carbon dioxide dynamics at the central chemoreceptor. Chapter 7 begins analysis of the dynamics mediated by the peripheral receptor. Essentially all of the dynamical behaviour is due to the effect of time delays occurring within the conservation relations (which are ordinary differential equations). The pathophysiology highlighted by the analysis is considerable, and includes central nervous system disorders, heart failure, metabolic diseases, lung disorders, vascular pathologies, physiological changes during sleep, and ascent to high altitude. Chapter 8 concludes the thesis with a summary of achievements and directions for further work.

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Lan, Boon Leong. "Quantum-classical correspondence and quantum chaos in the periodically kicked pendulum." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/27586.

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Rawes, W. "The application of signal analysis techniques based on chaos theory to flow regime identification." Thesis, Cranfield University, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.245497.

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Stefancich, Marco. "On Chaos and Anomalous Diffusion in Classical and Quantum Mechanical Systems." Thesis, University of North Texas, 1998. https://digital.library.unt.edu/ark:/67531/metadc278244/.

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The phenomenon of dynamically induced anomalous diffusion is both the classical and quantum kicked rotor is investigated in this dissertation. We discuss the capability of the quantum mechanical version of the system to reproduce for extended periods the corresponding classical chaotic behavior.

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Manzoor, Shahida. "Chaos theory and Robert Wilson a critical analysis of Wilson's visual arts and theatrical performances /." Ohio : Ohio University, 2003. http://www.ohiolink.edu/etd/view.cgi?ohiou1061418171.

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Dissertations / Theses on the topic 'Chaos theory'

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