Dissertations / Theses on the topic 'Chaos'
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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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Lea, Sam. "Chaos pass filtering in chaos communication systems." Thesis, Bangor University, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.528327.
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Anderson, Jeffrey A. (Jeffrey Arthur). "Harboring chaos." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/39303.
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Thesis (M. Arch.)--Massachusetts Institute of Technology, Dept. of Architecture, 2007.Includes bibliographical references (p. 117-121).
Hurricane shelters have become the unknown point of last resort for many coastal communities. Harboring displaced populations during a hurricane and it's chaotic aftermath are no longer seen as a need in a coastal communities evacuation strategy. The dangerous situation this strategy poses is being amplified by an increasing coastal population density along the Gulf Coast of the United States while the infrastructure to support mass scale evacuations is not growing in proportion to the population. Communities must face the realization that given the unpredictable nature of hurricanes, evacuation may not be possible for all citizens given the time frame before landfall. This thesis takes the role of harboring evacuees and wraps it into and around the program of a stadium. Being an icon of the city, the stadium will provide a foundation for inserting the hurricane shelter into the core fabric of coastal cities. Using the landscape and transportation infrastructure that feeds the stadium in its existing role, the shelter will engage the city as an icon to the memory of the threat, a point of protection from that threat and a point of aid following the threat.
by Jeffrey A. Anderson.
M.Arch.
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Ellenburg, James Mallon. "Chaos Hill." FIU Digital Commons, 1994. http://digitalcommons.fiu.edu/etd/3240.
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Chaos Hill is a collection of short stories that represents the duality and paradox of existence in the lives of characters searching for a better place. The stories display man's connection to the physical world and his attempts to free himself from its cycles. The action of each story occurs within twenty-four hours and is concentrated on small changes and motion as resolution. In Chaos Hill, the world spins gravity into oppression, day and night roll relentlessly on, and only when dreams of escape die is the battle won.
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Gutberlet, Terrance. "Chaos Management." ScholarWorks@UNO, 2017. http://scholarworks.uno.edu/td/2325.
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Petitgirard, Loïc Ramunni Girolamo. "Le chaos." Lyon : Université Lumière Lyon 2, 2004. http://demeter.univ-lyon2.fr:8080/sdx/theses/lyon2/2004/petitgirard_l.
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Burton, Lara Ann. "Organizing chaos /." Diss., CLICK HERE for online access, 2009. http://contentdm.lib.byu.edu/ETD/image/etd3279.pdf.
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Hakl, Vilém. "Chaos noir." Doctoral thesis, Akademie múzických umění v Praze.Filmová a televizní fakulta. Knihovna, 2016. http://www.nusl.cz/ntk/nusl-253671.
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Dvorak, Robert Michael. "(Chaos of) reading (chaos) : the fuzzy logic of postmodernism /." The Ohio State University, 1993. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487847761307161.
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Tinnesz, Karen. "Definitions of chaos." College Park, Md. : University of Maryland, 2005. http://hdl.handle.net/1903/2393.
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Thesis (M. A.) -- University of Maryland, College Park, 2005.Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Wimberger, Sandro Marcel. "Chaos and Localisation." Diss., lmu, 2004. http://nbn-resolving.de/urn:nbn:de:bvb:19-16877.
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Daniels, Anne Elizabeth. "Order in chaos." Thesis, University of East London, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.542291.
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I have always been fascinated by the marks in nature which arise from growth, fracture and decay, in fact by the overwhelming abundance of nature's complexity as described by Gleich (1990): Untamed, undomesticated, unregulated wildness. Nature paints its scenes without regard for conventional order, for straight lines or Euclidean shapes. Luckily so the human mind seems to take as little pleasure in a straight line as in pure formlessness. The essence of the Earth's beauty lies in disorder, a peculiarly patterned disorder, from the fierce tumult of rushing water to the tangled filigrees of unbridled vegetation. My early academic training was in mathematics. So later in life, when I began to study art, I compared the models for nature constructed by both mathematicians and artists, and became interested in the connections between geometry and art. Section 2 of this report describes my autobiographical context. On my BA and MA studies, I discovered that for most of the twentieth century phenomenological forms of nature were not a topic of artistic investigation, and geometry was being used in art as an abstract symbol of man's triumph over nature, via technology. But I also found that with the development of the electronic computer, scientists had advanced new models, such as chaos theory, to better describe nature's complex, dynamical, nonlinear systems. A new geometry, named fractal geometry, was formalised in the 1980s, which approached nature by finding patterns in its disorder. Traditional Euclidean geometry provides a poor approximation to natural disorder, but fractal geometry produces much more successful approximations. These fractal models of nature are likely to be chaotic but at the edges of the chaos an order can be found. I began to make abstract art using these new mathematical ideas, but not using digital computation or computer graphics. Section 3, on creative practice, follows my development through the five years I spent on the doctorate programme. I entered the course feeling that I had only scratched the surface of my visual enquiry into nature's structures based upon fractal geometry. I spent a year researching fractals in geometry and art in the context of the artists that influenced me, and put forward a proposal to devise a form of abstraction based upon 3
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Beaver, Philip Frederick. "Fractals and chaos." Thesis, Monterey, California. Naval Postgraduate School, 1991. http://hdl.handle.net/10945/28232.
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Stewart, Jennifer. "Out of Chaos." ScholarWorks@UNO, 2006. http://scholarworks.uno.edu/td/361.
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This is a collection of poetry on a variety of themes, namely, personal identity, travel, southern upbringing, and interaction with daily ennui. It also presents a range of different poetic techniques, from collage and pastiche to more traditional lyric formats.
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Jurczynski, Mateusz. "Quantum Wiener chaos." Thesis, Lancaster University, 2017. http://eprints.lancs.ac.uk/88760/.
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In this thesis we develop the theory of quantum Wiener integrals on the bosonic Fock space. We study multiple quantum Wiener integrals as an algebra of unbounded operators, investigating its properties, including closedness, common domains and multiplication formulas. We show the applications of the new formalism by providing new proofs to the established theory of quantum stochastic calculus and new conditions for generating quantum stochastic cocycles and quantum stochastic evolutions. The corresponding quasifree case is also studied and the constructions extended to fit in that formalism. We construct the multiple quantum Wiener integral as one operator on a family of operators which we dub operator kernels. This in particular covers the case of quantum stochastic cocycles and evolutions. We show that the family of quantum Wiener integrals forms a WOT-dense algebra of unbounded operators on the bosonic Fock space. We provide more general conditions for an operator kernel to be multiple quantum Wiener integrable, which allows us to treat multiple quantum Wiener integrals as an algebra. We explore the influence of an initial space on the theory. Our setting gives natural conditions for a product of two cocycles (evolutions) to still be a cocycle (an evolution). We apply our theory by solving quantum stochastic differential equations (QSDEs) and by finding more elementary proofs of structure conditions on the generator of a quantum stochastic evolution and of the fundamental estimate in the proof of quantum stochastic Lie–Trotter formula. We also show how our theory unifies and generalises the theory of integral kernels and chaotic representation properties, proving in particular that every Hilbert–Schmidt operator is a quantum Wiener integral.
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Audibert, Pierre. "Calcul, chaos, modulo." Paris 8, 1998. http://www.theses.fr/1998PA081483.
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Notre etude porte sur les recurrences modulaires (modulo un nombre entier), en liaison avec l'experimentation sur ordinateur - ce que l'on appelle les mathematiques experimentales. La discretisation forcee et les jeux cycliques imposes par l'ordinateur provoquent en effet deux effets contradictoires. D'une part, ils nous invitent a travailler modulo quatre dans le quadrillage des points de l'ecran. Nous en avons profite pour preciser comment tracer des courbes classiques ou fractales en etablissant un lien entre leur definition geometrique et leur definition linguistique. D'autre part, le passage d'un univers continu et infini dans un cadre discret et fini cree des phenomenes parasites, des interferences que l'on appelle le moire. Nous etudions ce phenomene d'entrelacement de courbes dans le cas d'un faisceau de droites et dans celui de cercles concentriques. Cela nous amene au theme essentiel de notre travail sur les recurrences modulaires : leur caractere periodique et l'organisation des trajectoires suivant un graphe oriente qui se decompose en composantes connexes formees de cycles et d'arborescences. Nous passons des progressions arithmetico-geometriques aux recurrences a base de matrices unimodulaires puis aux recurrences lineaires d'ordre deux, et enfin aux recurrences par elevation au carre. Nous nous interessons a la periode globale du phenomene, puis plus precisement aux periodes des cycles. C'est l'occasion d'observer la sensibilite aux conditions initiales, propre a la theorie du chaos, qui se manifeste des que l'on modifie un parametre, ou que l'on pratique des doubles melanges. La visualisation du graphe des trajectoires, pour des modulo donnes, presente souvent des elements de symetrie que nous expliquons. On aboutit ainsi a ce que nous appelons des portraits de nombres, ou se revelent leurs structures mathematiques sous-jacentes.
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Astoquillca, Aguilar Jhon Kevin. "Gaussian Multiplicative Chaos." Master's thesis, Pontificia Universidad Católica del Perú, 2020. http://hdl.handle.net/20.500.12404/17752.
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La teoría de Kolmogorov-Obukhov-Mandelbrot de disipación de energía en
desarrollo de turbulencia se estableció para estudiar el comportamiento caótico
de los fluidos. En ausencia de una base matemática rigurosa, Kahane introduce el
caos gaussiano multiplicativo como un objeto aleatorio inspirado en la teoría del
caos aditivo desarrollada por Wiener. En esta tesis desarrollamos teoría aleatoria
en el espacio de medidas de Radon con el objetivo de definir rigurosamente el caos
multiplicativo gaussiano. Seguimos el artículo de Kahane y debilitamos algunas
condiciones para proporcionar una introducción accesible y autocontenida.The Kolmogorov-Obukhov-Mandelbrot theory of energy dissipation in turbulence developed was established to study the chaotic behavior of fluids. In the absence of a rigorous mathematical basis, Kahane introduced the Gaussian multiplicative chaos as a random object inspired by the additive chaos theory developed by Wiener. In this thesis we developed random theory in the spaces of Radon measures in order to rigorously define Gaussian multiplicative chaos. We follow Kahane’s paper and weaken some conditions to provide an accessible and selfcontained introduction.
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Kubák, Ivo Kristián. "Režie a chaos." Master's thesis, Akademie múzických umění v Praze.Divadelní fakulta. Knihovna, 2016. http://www.nusl.cz/ntk/nusl-252282.
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The thesis is in its first part focused on finding a link between the relatively young mathematical discipline theory of chaos, and theoretical and practical work of theatre director. The first part explains the principles of chaos theory, fractal geometry, understanding chaos in ancient Greek culture, in postmodern and in current state of culture. The thesis in the second part applies the named apparatus to the practice and concludes with are several essential characteristics, functions and tasks of directing in the theatre. Third part is two case studies based on stage praxis: directing of performances Punk Rock and Otcizeni in a DAMU school theatre DISK.
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Flood, Heather. "Chaos in Clinton." Digital Commons @ East Tennessee State University, 2007. https://dc.etsu.edu/etd/2148.
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The integration of Clinton High School, located in Clinton, Tennessee captivated the nation in the fall of 1956. This paper depicts the events that occurred during that period. Also included are the events that occurred prior to the desegregation of the high school, the understanding of which is necessary to fully appreciate the events that unfolded in Clinton.
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Bauman, Zygmunt. "Local Orders, Global Chaos." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2378/.
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Wang, Sharon X. "Simulation of chaos synchronization." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0006/MQ32521.pdf.
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Früh, Wolf-Gerrit. "Bifurcations to baroclinic chaos." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358616.
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Hollins, Martine. "The literature of chaos." Thesis, University of Liverpool, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243030.
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Bird, C. M. "The control of chaos." Thesis, University of Surrey, 1996. http://epubs.surrey.ac.uk/804952/.
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Orme, Belinda Abigail Amanda. "Biological mixing and chaos." Thesis, University of Birmingham, 2002. http://etheses.bham.ac.uk//id/eprint/7637/.
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We consider a problem from the field of biological fluid mechanics which considers the flow associated with the motion of a flagellum on a sessile micro-organism. Motivation is taken from the movement of fluid around a species of choanoflagellate, \(Salpingoeca\) \(Amphoridium\). Choanoflagellates are a class of organism in the phylum Protozoa. Because the length scales and velocities are very low, the flow is one dominated by viscous forces and the environment is characterised by a low Reynolds number. The flow caused by the flagellum is initially modelled via a point force. These microorganisms operate in more than one location and the motion they create is modelled in a qualitative sense by using two stokeslets (appropriate to Stokes' flow) whose orientation and position is varied with time. The sessile micro-organism resides above a boundary which is modelled, most generally, as an interface between two fluids possessing different properties. Efficiency of feeding currents generated by the flagellum motion is studied. The resulting dynamics are investigated using chaotic measures, which examine the stretching and consequent mixing of elements within the fluid. Different point force locations lead to various eddy structures such that their superposition results in chaotic advection. The model is developed to examine the flow of particles around a three-dimensional realisation of a micro-organism which involves a flagellum and a cell body attached to a substrate. Green's functions are used to satisfy a number of boundary conditions simultaneously. Particle paths of a tracer introduced into the fully three-dimensional model are investigated. Comparisons with experimental data illustrate good agreement between theoretical and experimental results. Further extensions to the model are suggested.
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Klages, Rainer. "Deterministic chaos and diffusion." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-195373.
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Pritzker, Elaine C. "Tom Stoppard: Humanizing Chaos." FIU Digital Commons, 2011. http://digitalcommons.fiu.edu/etd/401.
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The purpose of this study was to critically evaluate Tom Stoppard’s application of chaos theory and quantum science in ROSENCRANTZ AND GUILDENSTERN ARE DEAD, HAPGOOD and ARCADIA; and determine the extent to which Stoppard argues for the importance of human action and choice.
Through critical analysis this study examined how Stoppard applies the quantum aspects of: (1) indeterminacy to human epistemology in ROSENCRANTZ AND GUILDENSTERN ARE DEAD; (2) complementarity to human identity in HAPGOOD; and (3) recursive symmetry to human history in ARCADIA. It also examined how Stoppard excavates the complexities of human action, choice and identity through the lens of chaos theory and quantum science.
These findings demonstrated that Tom Stoppard is not merely juxtaposing quantum science and human interactions for the sake of drama; rather, by excavating the complexities of human action, choice and identity through the lens of chaos theory and quantum science, Stoppard demonstrates the fundamental connection between individuals and the post-Newtonian universe.
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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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Vincent, Pamela S. "The State of Chaos." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1339680328.
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Lévy, Pascal. "Télécommunications cryptées par chaos." Besançon, 2004. http://www.theses.fr/2004BESA2048.
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She, Nian. "Chaos in aquatic systems /." Thesis, Connect to this title online; UW restricted, 1995. http://hdl.handle.net/1773/6370.
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Cornick, Matthew Tyler. "Problems in spatiotemporal chaos." College Park, Md.: University of Maryland, 2007. http://hdl.handle.net/1903/7699.
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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.Thesis research directed by: Dept. of Physics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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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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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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Lepers, Maxence. "Dynamique d'atomes dans des potentiels optiques : du chaos quantique au chaos quasi-classique." Electronic Thesis or Diss., Lille 1, 2009. http://www.theses.fr/2009LIL10012.
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Cette thèse présente des résultats théoriques sur le chaos dans les systèmes quantiques. Dans sa première partie, nous étudions la dynamique du rotateur pulsé. Ce système, qui est la référence pour l'étude du chaos quantique, présente un gel de la diffusion en impulsion, appelé localisation dynamique. Celle-ci est un phénomène purement quantique basé sur des interférences destructives. Comme tout phénomène d'interférence, la localisation dynamique est affectée par l'émission spontanée. Dans cette thèse, nous proposons une méthode basée sur la spectroscopie Raman, pour limiter l'impact de l'émission spontanée. Nous menons une étude analytique complète de la dynamique, en très bon accord avec nos simulations numériques. Du fait de sa périodicité temporelle, le rotateur pulsé présente aussi des résonances quantiques, qui sont l'analogue de l'effet Talbot optique. En décrivant ces résonances dans l'espace des positions, nous en donnons une image simple et intuitive, basée sur des notions classiques comme la force. Les condensats de Bose-Einstein ont ouvert la voie à l'obtention de phénomènes quantiques nouveaux. La non-linéarité de leur équation d'évolution permet notamment l'observation du chaos quasi-classique. Nous proposons ici une méthode pour le détecter, basée sur la mesure de la position moyenne du condensat. Cette méthode, dont la validité est confirmée par les exposants de Lyapunov du système, permet de distinguer sans équivoque les trajectoires chaotiques et régulièresThis thesis contains theoretical results about chaos in quantum systems. ln its first part, we study the dynamics of the quantum kicked rotor. This system, which is paradigmatic of quantum chaos, exhibits dynamical localization, a decay of diffusion in momentum space. The latter is a purely quantum phenomenon, as it is based on destructive interferences. As aIl interference effects, dynamical localization is affected by spontaneous emission. ln this manuscript, we propose a method to decrease the effect of spontaneous emission, by using Raman spectroscopy. We perform a full analytical study in very good agreement with our numerical simulations. As a consequence ofits temporal periodicity, the kicked rotor also exhibits quantum resonances, the analogy of the optical Talbot effect. By describing them in position space, we provide a simple and intuitive image of the resonances, based on classical notions like force. Bose-Einstein has enabled the study ofunprecedented quantum phenomena. ln particular, the nonlinearity of their evolution equation has made possible the observation of quasi-classical chaos. Here, we propose a method to detect chaos, by measuring the averaged position of the condensate. This method enables us to clearly distinguish chaotic and regular trajectories. Its validity is confirmed by the calculation of the system Lyapunov exponents
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Lepers, Maxence. "Dynamique d'atomes dans des potentiels optiques : du chaos quantique au chaos quasi-classique." Phd thesis, Université des Sciences et Technologie de Lille - Lille I, 2009. http://tel.archives-ouvertes.fr/tel-00391054.
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Cette thèse présente des résultats théoriques sur le chaos dans les systèmes quantiques. Dans sa première partie, nous étudions la dynamique du rotateur pulsé. Ce système, qui est la référence pour l'étude du chaos quantique, présente un gel de la diffusion en impulsion, appelé localisation dynamique. Celle-ci est un phénomène purement quantique basé sur des interférences destructives.Comme tout phénomène d'interférence, la localisation dynamique est affectée par l'émission spontanée. Dans cette thèse, nous proposons une méthode basée sur la spectroscopie Raman, pour limiter l'impact de l'émission spontanée. Nous menons une étude analytique complète de la dynamique, en très bon accord avec nos simulations numériques.
Du fait de sa périodicité temporelle, le rotateur pulsé présente aussi des résonances quantiques, qui sont l'analogue de l'effet Talbot optique. En décrivant ces résonances dans l'espace des positions, nous en donnons une image simple et intuitive, basée sur des notions classiques comme la force.
Les condensats de Bose-Einstein ont ouvert la voie à l'obtention de phénomènes quantiques nouveaux. La non-linéarité de leur équation d'évolution permet notamment l'observation du chaos quasi-classique. Nous proposons ici une méthode pour le détecter, basée sur la mesure de la position moyenne du condensat. Cette méthode, dont la validité est confirmée par les exposants de Lyapunov du système, permet de distinguer sans équivoque les trajectoires chaotiques et régulières.
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Hasse, Gunther Willy. "Convergence from chaos to order in capital projects using chaos attractors – an explorative study." Thesis, University of Pretoria, 2020. http://hdl.handle.net/2263/73060.
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Successful capital projects contribute to sustain society and accelerate socio-economic development due to its inherent multiplier effect. The linear project management paradigm does not seem to stem either historical or current capital project cost overruns and failures. Accelerative societal change in terms of trends, megatrends, paradigm shifts, Black Swan events, and disruptive technologies require capital projects to be executed in a volatile, uncertain, complex and ambiguous environment that is expected to result in more chaos and failures of capital projects. This research contributes to the non-linear ‘management by chaos’ paradigm and develops and test chaos theories and models for employment in capital projects. The objective of this research is to explore if chaos attractors could cause local convergence (first research question) and overall convergence (second research question) from chaos to order in capital projects and thereby contribute to reduce capital project cost overruns and failures.
Using the grand chaos theory and literature references to chaos attractor metaphors as a starting point, six lower-level chaos theories and variance models were built for fixed-point attractors, fixed-point repellers, limit-cycle attractors, torus attractors, butterfly attractors and strange attractors. One lower level-theory and variance model were built for a landscape that comprised of the six chaos attractors. A randomness-chaos-complexity-order continuum model was derived from literature to represent the context within which dynamic capital project behaviour unfolds.
Assuming a constructivist research paradigm, a two-round qualitative explorative research strategy was employed with the capital project as the unit of analysis. The Nominal Group Technique was employed in the first round of interviews with 12 experienced capital project managers to obtain grounded definitions, an understanding of the randomness-chaos-complexity-order continuum model and the concept of chaos attractors. Voice recordings from interviews were transcribed and content analysis was done using the Atlas.ti software. Five capital project archetypes were identified by respondents. This was followed by a second round of deep individual interviews using semi-structured questions with 14 experienced capital project managers. Content analysis was used to confirm the archetypes and test the transferability and convergence effect from chaos to order of the six chaos metaphors and one landscape of the six chaos metaphors to the capital project domain.
Evidence was found in terms of examples, characteristics, value statements and variance model scoring to suggest that local convergence in capital projects from chaos to order could occur as a result of the six individual chaos attractors. Similarly, that overall project convergence could occur as a result of a specific constellation of these six chaos attractors located across the capital project life cycle. Nine convergence-divergence archetypes were defined by respondents that described the dynamic behaviour of different types of capital projects in the randomness-chaos-complexity-order continuum. It was also found that achieving capital project convergence from chaos towards an ordered project state, using chaos attractors, do not imply project success. However, an ordered project state could aid the minimisation of capital project cost overruns.
“Chaos theory considers the convergence from chaos to order a natural phenomenon in capital projects that is brought about by the following six chaos attractors: fixed-point, repeller, limit-cycle, torus, butterfly and strange”. This exploratory research found evidence to support the existence of this grand theory and its associated mid-range and lower-level theories, but further research is required to validate the generalisation of these findings.Thesis (PhD)--University of Pretoria, 2020.
Graduate School of Technology Management (GSTM)
PhD
Unrestricted
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Olivar, Gerard. "Chaos in the buck converter." Doctoral thesis, Universitat Politècnica de Catalunya, 1997. http://hdl.handle.net/10803/5841.
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Esta tesis estudia el fenómeno del caos en las ecuaciones que modelan un convertidor buck con control PWM. Desde el punto de vista matemático, contribuye al estudio de los sistemas lineales a trozos tridimensionales, con émfasis en las perspectivas geométrica y de cálculo numérico. Se consiguen resultados analíticos pero, finalmente, deben emplearse métodos numéricos para calcular efectivamente las órbitas periódicas, bifurcaciones, variedades invariantes y cuencas de atracción. Desde el punto de vista de la ingeniería, esta tesis contribuye, por una parte, a dilucidar ciertas cuestiones acerca del comportamiento observado en el circuito electrónico experimental, y por otra parte, plantea nuevas preguntas que debe responder la comunidad científica dedicada a la ingeniería. Entre ellas, la búsqueda experimental de fenómenos secundarios detectados en las simulaciones numéricas y la posibilidad de implementar algunos de los métodos de control de caos deducidos en un prototipo experimental.El capítulo 2 resume la información básica sobre convertidores conmutados de corriente contínua, y también sobre qué tipo de comportamiento cabe esperar de un sistema dinámico no lineal. Se discuten las referencias más relevantes sobre circuitos no lineales, y en concreto, las que atañen a circuitos caóticos en electrónica de potencia.
Los sistemas de ecuaciones diferenciales lineales a trozos con dos topologías se introducen en el capítulo 3. Como caso particular, se dan las ecuaciones que rigen la dinámica del convertidor buck con control PWM, y se establecen algunas propiedades básicas de las soluciones. La técnica general para obtener órbitas periódicas se particulariza para las soluciones T-periódicas y 2T-periódicas, y se establecen resultados para algunos tipos específicos de las nT-periódicas.
En el capítulo 4 se detalla el análisis de la aplicación estroboscópica. Este capítulo está orientado geométricamente, aunque el cálculo numérico es también imprescindible para obtener resultados específicos. Se halla también una región de atrapamiento para el sistema, en la cual se encuentra una aplicación de tipo horseshoe. La herramienta principal de este capítulo es la continuidad de la aplicación de Poincaré asociada, que permite deducir analíticamente como se transforman las diferentes regiones del espacio de fases.
El capítulo 5 está dedicado a las bifurcaciones secundarias halladas conjuntamente con el atractor principal. En este capítulo, el cálculo numérico es esencial para hallar los diagramas de bifurcaciones, las variedades invariantes y las cuencas de atracción. Como las soluciones son conocidas analíticamente a trozos, los algoritmos se benefician de ello en rapidez y sencillez. Se encuentran bifurcaciones suaves y no suaves. Se dan también expresiones exactas para los multiplicadores característicos, lo cual representa una gran ventaja cuando se calculan las bifurcaciones.
El capítulo 6 se aparta ligeramente del espíritu general de la tesis. En lugar de describir el comportamiento caótico del sistema, se sugieren algunos métodos de control de caos y se simulan éstos para comprobar si producen los efectos deseados. En concreto, se dan tres opciones: primero, se concreta el método OGY para las ecuaciones del convertidor buck ; segundo, se sugieren varios esquemas de control de realimentación con retardos, y tercero, se propone un método de control de lazo abierto. El control del comportamiento caótico en este circuito es importante, puesto que reduce el rizado de salida y por tanto, amplia el rango operacional del convertidor.
Algunas sugerencias para seguir el estudio de estos sistemas dinámicos se dan en el capítulo 7. Algunas simulaciones se han hecho con una versión suavizada del sistema de ecuaciones diferenciales con el software standard AUTO. También se proponen aproximaciones de la aplicación de Poincaré, que pueden proporcionar un tratamiento más analítico y simulaciones más rápidas.
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Rezakhanlou, Karen. "Orbital magnetism and quantum chaos /." [S.l.] : [s.n.], 1995. http://library.epfl.ch/theses/?nr=1312.
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Nonnenmacher, Stéphane. "Quelques aspects de Chaos Quantique." Habilitation à diriger des recherches, Université Paris Sud - Paris XI, 2009. http://tel.archives-ouvertes.fr/tel-00405349.
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Ce mémoire résume mes travaux dans 3 domaines reliés au "chaos quantique". J'y aborde tout d'abord les questions de répartition spatiale des fonctions propres de systèmes quantiques classiquement chaotiques. Dans une seconde partie, je résume mes travaux sur la distribution des résonances pour les systèmes de diffusion dont l'ensemble des trajectoires captées est fractal, et supporte une dynamique chaotique. Enfin, je mentionne des résultats obtenus sur les transformations chaotiques bruitées: l'étude du spectre, et de la relaxation vers l'équilibre de tels systèmes.
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Deane, Jonathan H. B. "Iterative electronic circuits and chaos." Thesis, University of Surrey, 1990. http://epubs.surrey.ac.uk/842739/.
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Iterative electronic circuits - that is, circuits whose behaviour can be described by a mapping in which time is not explicitly present - are investigated, and particular attention is paid to those circuits which can be shown to display chaotic behaviour. Examples emanating mainly from the fields of power electronics and digital electronics are discussed. The emphasis is on the derivation of analytical results wherever this is possible, although numerical calculations have also been much relied upon. Some of these results are supported by experimental investigations. Many of the results are presented in the form of diagrams. The implications of chaotic behaviour for electronic engineers have been indicated. A brief discussion of the relation between iterative circuits and circuits that are described by non-linear differential equations is included.
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Gaspard, Pierre. "Chaos, scattering and statistical mechanics." Doctoral thesis, Universite Libre de Bruxelles, 1996. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212440.
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Lau, Yuu Seng, and lauje@rocketmail com. "Techniques in Secure Chaos Communication." RMIT University. Electrical and Computer Engineering, 2006. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20070116.151025.
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In today's climate of increased criminal attacks on the privacy of personal or confidential data over digital communication systems, a more secure physical communication link is required. Chaotic signals which have bifurcation behavior (depending on some initial condition) can readily be exploited to enhance the security of communication systems. A chaotic generator produces disordered sequences that provide very good auto- and cross- correlation properties similar to those of random white noise. This would be an important feature in multiple access environments. These sequences are used to scramble data in spread spectrum systems as they can produce low co-channel interference, hence improve the system capacity and performance. The chaotic signal can be created from only a single mathematical relationship and is neither restricted in length nor is repetitive/ cyclic. On the other hand, with the progress in digital signal processing and digital hardware, there has been an increased interest in using adaptive algorithms to improve the performance of digital systems. Adaptive algorithms provide the system with the ability to self-adjust its coefficients according to the signal condition, and can be used with linear or non-linear systems; hence, they might find application in chaos communication. There has been a lot of literature that proposed the use of LMS adaptive algorithm in the communication arena for a variety of applications such as (but not limited to): channel estimation, channel equalization, demodulation, de-noising, and beamforming. In this thesis, we conducted a study on the application of chaos theory in communication systems as well as the application of adaptive algorithms in chaos communication. The First Part of the thesis tackled the application of chaos theory in com- munication. We examined different types of communication techniques utilizing chaos theory. In particular, we considered chaos shift keying (CSK) and mod- ified kind of logistic map. Then, we applied space-time processing and eigen- beamforming technique to enhance the performance of chaos communication. Following on, we conducted a study on CSK and Chaos-CDMA in conjunction with multi-carrier modulation (MCM) techniques such as OFDM (FFT/ IFFT) and wavelet-OFDM. In the Second Part of the thesis, we tried to apply adaptivity to chaos com- munication. Initially, we presented a study of multi-user detection utilizing an adaptive algorithm in a chaotic CDMA multi-user environment, followed by a study of adaptive beamforming and modified weight-vector adaptive beam- forming over CSK communication. At last, a study of modified time-varying adaptive filtering is presented and a conventional adaptive filtering technique is applied in chaotic signal environment. Twelve papers have been published during the PhD candidature, include two journal papers and ten refereed conference papers.
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Després, Philippe. "Contrôle et détection du chaos." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ53937.pdf.
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Driemel, Oliver. "Videoclipediting strukturelle Montage oder Chaos? /." [Potsdam] : [Hochsch.-Bibliothek], 2004. http://deposit.d-nb.de/cgi-bin/dokserv?idn=983710953.
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Carbinatto, Maria C. "The Conley index and chaos." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/29324.
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Littlehales, Patrick Anthony. "Chaos in sigma delta modulators." Thesis, Coventry University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.241306.
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D'Arcy, Michael Brendan. "Quantum chaos in atom optics." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249527.
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Murch, Alan Rodney. "Technological applications of deterministic chaos." Thesis, University of Canterbury. Electrical and Electronic Engineering, 1989. http://hdl.handle.net/10092/5599.
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Engineering and technological applications and consequences of deterministic chaos are considered. Four technological areas are investigated: electrical noise, electrical signal sources, data encryption and packet switching. In addition, deterministic chaos in both dissipative and conservative systems is reviewed, the philosophical and practical consequences that stem from deterministic chaos are considered, and the historical development that has led to the present renewal of interest in dynamical systems is presented.
The use of a hierarchy of nonlinear recursive equations to generate coloured noise and the tailoring of these equations to generate noise with a specified probability density function and power spectrum is examined. The most immediately striking aspect of the concept of a hierarchy of recursive equations is that it constitutes such an elementary means of generating a noisy process having an excess low frequency character (in particular noise having an almost 1/f power spectrum). This is claimed to constitute a significant addition to the literature on l/f noise. An analysis of the hierarchy in terms of Lyapunov exponents and information theory is presented. It is found that the dynamics of the hierarchy exhibits non uniformity and noise-induced predictability, thereby providing further evidence for the conjecture that non-uniformity is a necessary condition for the occurrence of noise induced predictability. It is claimed that noise-induced predictability may be of use technologically, since it might allow systems and processes which are at present unpredictable (e.g. system reliability, weather), to be made (more) predictable and useful.
The extent and under what circumstances deterministic chaos contributes to noise within sinusoidal oscillators is considered. Effects (Le. signal-dependent delay and circuit parameter variations) which tend to be neglected in established approaches to oscillator analysis are included in the oscillator models studied. Conditions sufficient for an oscillator to exhibit deterministic chaos are found to be, first, the existence of a signal delay within the oscillator and, second, certain types of amplifier nonlinearity. It is conjectured that all oscillators may satisfy these conditions, and therefore to some degree exhibit deterministic chaos. A novel discrete time oscillator is developed. It gives insights into the way deterministic chaos arises within a closed loop. Chaotic behaviour in generalisations of an oscillator circuit named after Chua are examined. It is found that relatively minor circuit alterations can inhibit the chaotic behaviour in the circuit. It is indicated how this appears to provide insight into chaotic dynamics in general.
The extent to which the seemingly random numbers generated by a chaotic dynamical system are suitable for data encryption is examined. This leads to an examination of the consequences of number quantisation (i.e. the use of finite precision numbers) which inevitably occurs in digital implementation of chaotic systems. Two encryption schemes are considered, termed isolated and influenced chaotic encryption. Isolated chaotic encryption is based on a conventional encryption scheme (the one time tape), while influenced chaotic encryption is a new encryption method. Sequences exhibiting maximal entropy are required for encryption. Computer simulations performed on finite length sequences (limited to allow the computer simulation to run in a reasonable time), generated by the encryption schemes, show that they exhibit maximal entropy. Although this does not confirm that sequences longer than those tested exhibit maximal entropy, it does reveal that deterministic chaos has potential for data encryption and is worthy of further study. The advantage of chaotic encryption schemes over other schemes may lie in their ease of implementation, and the difficulty of breaking the encryption from observation of the encrypted sequence.
A new packet switching flow control algorithm, termed cooperative flow control, is examined. The new algorithm is based on a modification to an algorithm which forms the basis of many flow control algorithms used in practice. Cooperative flow control represents an attempt at developing a packet entry flow control algorithm which induces resource efficient self-organising behaviour within a packet switching network, while at the same time ensuring that a specified grade of service is delivered
to network users. Under certain traffic arrival patterns cooperative flow control becomes chaotic, demonstrating that the algorithm can induce self-organising behaviour within the network. The studies reported herein suggest that if such an algorithm can be perfected it may provide a considerable advance in communication network design.
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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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