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Dissertations / Theses on the topic 'Symbolic dynamics. Topological dynamics'

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1

Seward, Brandon Michael Gao Su. "On the density of minimal free subflows of general symbolic flows." [Denton, Tex.] : University of North Texas, 2009. http://digital.library.unt.edu/permalink/meta-dc-11009.

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2

Cecchi, Bernales Paulina Alejandra. "Invariant measures in symbolic dynamics : a topological, combinatorial and geometrical approach." Thesis, Sorbonne Paris Cité, 2019. https://theses.md.univ-paris-diderot.fr/CECCHI-BERNALES_Paulina_2_complete_20190626.pdf.

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Dans ce travail nous étudions quelques propriétés des systèmes symboliques, avec un accent particulier mis sur le rôle joué par les mesures invariantes de tels systèmes. Nous nous attachons à l'étude des mesures invariantes d'un point de vue topologique, combinatoire et géométrique. Du point de vue topologique, nous nous concentrons sur le problème de l'équivalence orbitale et l'équivalence orbitale forte entre des systèmes dynamiques donnés par des actions minimales de Z, par l'étude d'un invariant algébrique, à savoir, le groupe de dimension dynamique. Notre travail donne une description du
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3

Alcaraz, Barrera Rafael. "Topological and symbolic dynamics of the doubling map with a hole." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/topological-and-symbolic-dynamics-of-the-doubling-map-with-a-hole(b6f17b43-5285-4e35-883a-baf4708993bc).html.

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This work motivates the study of open dynamical systems corresponding to the doubling map. In particular, the dynamical properties of the attractor of the doubling map when a symmetric, centred open interval is removed are studied. Using the arithmetical properties of the binary expansion of the points on the boundary of the removed interval, we study properties such as topological transitivity, the specification property and intrinsic ergodicity. The properties of the function that associates to each hole $(a,b)$ the topological entropy of the attractor of the considered dynamical system are
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4

Pavlov, Ronald Lee. "Some results on recurrence and entropy." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1180454690.

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5

Seward, Brandon Michael. "On the density of minimal free subflows of general symbolic flows." Thesis, University of North Texas, 2009. https://digital.library.unt.edu/ark:/67531/metadc11009/.

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This paper studies symbolic dynamical systems {0, 1}G, where G is a countably infinite group, {0, 1}G has the product topology, and G acts on {0, 1}G by shifts. It is proven that for every countably infinite group G the union of the minimal free subflows of {0, 1}G is dense. In fact, a stronger result is obtained which states that if G is a countably infinite group and U is an open subset of {0, 1}G, then there is a collection of size continuum consisting of pairwise disjoint minimal free subflows intersecting U.
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6

Epperlein, Jeremias. "Topological Conjugacies Between Cellular Automata." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-231823.

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We study cellular automata as discrete dynamical systems and in particular investigate under which conditions two cellular automata are topologically conjugate. Based on work of McKinsey, Tarski, Pierce and Head we introduce derivative algebras to study the topological structure of sofic shifts in dimension one. This allows us to classify periodic cellular automata on sofic shifts up to topological conjugacy based on the structure of their periodic points. We also get new conjugacy invariants in the general case. Based on a construction by Hanf and Halmos, we construct a pair of non-homeomorp
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7

Donoso, Sebastian Andres. "Contributions to ergodic theory and topological dynamics : cube structures and automorphisms." Thesis, Paris Est, 2015. http://www.theses.fr/2015PEST1007/document.

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Cette thèse est consacrée à l'étude des différents problèmes liés aux structures des cubes , en théorie ergodique et en dynamique topologique. Elle est composée de six chapitres. La présentation générale nous permet de présenter certains résultats généraux en théorie ergodique et dynamique topologique. Ces résultats, qui sont associés d'une certaine façon aux structures des cubes, sont la motivation principale de cette thèse. Nous commençons par les structures de cube introduites en théorie ergodique par Host et Kra (2005) pour prouver la convergence dans $L^2 $ de moyennes ergodiques multiple
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8

Kenny, Robert. "Orbit complexity and computable Markov partitions." University of Western Australia. School of Mathematics and Statistics, 2008. http://theses.library.uwa.edu.au/adt-WU2008.0231.

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Markov partitions provide a 'good' mechanism of symbolic dynamics for uniformly hyperbolic systems, forming the classical foundation for the thermodynamic formalism in this setting, and remaining useful in the modern theory. Usually, however, one takes Bowen's 1970's general construction for granted, or restricts to cases with simpler geometry (as on surfaces) or more algebraic structure. This thesis examines several questions on the algorithmic content of (topological) Markov partitions, starting with the pointwise, entropy-like, topological conjugacy invariant known as orbit complexity. The
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9

Maranhão, Dariel Mazzoni. "Estudo topológico de órbitas periódicas no circuito experimental de Chua." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-24032007-174511/.

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Estudamos o comportamento dinâmico de séries temporais experimentais obtidas de um circuito de Chua quando dois parâmetros de controle, $Delta R_1$ e $Delta R_2$, são variados.Investigamos os comportamentos caótico e periódico, analisando as séries temporais ao redor e no interior de duas janelas periódicas presentes no espaço de parâmetros $(Delta R_1,Delta R_2)$ do circuito. Na vizinhança da janela de período três, analisamos como a dinâmica simbólica se altera quando construída em diferentes seções de Poincaré de um mesmo atrator, e investigamos a dimensão dos mapas de retorno, uni ou bi
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10

Baptista, Diogo Pedro Ferreira Nascimento. "Iteradas de aplicações do plano no plano." Doctoral thesis, Universidade de Évora, 2008. http://hdl.handle.net/10174/12257.

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Neste trabalho estudamos as iteradas de aplicações do plano no plano. Usando as técnicas da dinâmica simbólica em aplicações do plano no plano, tendo sempre por base a teoria de amassamento de Milnor e Thurston e o formalismo da dinâmica simbólica desenvolvido por Sousa Ramos, abordamos diferentes aspectos qualitativos da dinâmica das aplicações de Lozi. Assim, através da dinâmica simbólica introduzida por Yutaka Ishii, começamos por refor-mular a fronteira do espaço dos parâmetros correspondente às aplicações de Lozi equivalentes à ferradura de Smale. No seguimento, apresentamos um método que
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11

Ahmed, Amna Mohamed Abdelgader. "Abstract topological dynamics." Thesis, University of Birmingham, 2012. http://etheses.bham.ac.uk//id/eprint/3503/.

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Let \(\char{cmmi10}{0x54}\) : \(\char{cmmi10}{0x58}\) → \(\char{cmmi10}{0x58}\) be a function from a countably infinite set \(\char{cmmi10}{0x58}\) to itself. We consider the following problem: can we put a structure on \(\char{cmmi10}{0x58}\) with respect to which \(\char{cmmi10}{0x54}\) has some meaning? In this thesis, the following questions are addressed: when can we endow \(\char{cmmi10}{0x58}\) with a topology such that \(\char{cmmi10}{0x58}\) is homeomorphic to the rationals \(\char{msbm10}{0x51}\) and with respect to which \(\char{cmmi10}{0x54}\) is continuous? We characterize such fu
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12

Ashcroft, Jennifer. "Topological solitons and their dynamics." Thesis, University of Kent, 2017. https://kar.kent.ac.uk/64633/.

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Topological solitons are particle-like solutions of nonlinear field equations with important applications in physics. This thesis presents four research projects concerning topological solitons and their dynamics. We investigate solitons in (1+1)- and (2+1)-dimensions, and develop numerical methods to obtain static solutions and simulate soliton scattering. We first study kink collisions in a model with two scalar fields in the presence of false vacua. We find a variety of scattering outcomes depending on the initial velocity and vacuum structure. Kinks can either repel, form a true or false d
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13

Rocha, André Cavalcanti. "Symbolic dynamics for Kleinian groups." Thesis, University of Warwick, 1994. http://wrap.warwick.ac.uk/66721/.

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This thesis is composed of three independent chapters and an appendix. In the first two chapters we deal with Kleinian groups and in the third one we concentrate on Fuchsian groups. In chapters 1 and 2, we study the action of a Kleinian group on points in hyperbolic space of three dimensions and on points on its boundary. All Kleinian groups we study have the property that their action on points in the hyperbolic 3-space has a fundamental polyhedron with the property that the union of the images of its faces under the group elements contains each geodesic plane that contains one of the faces.
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14

Goatham, Stephen William. "Structure and dynamics of topological solitons." Thesis, University of Kent, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.587572.

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15

Mihaljevic-Brandt, Helena. "Topological Dynamics of Transcendental Entire Functions." Thesis, University of Liverpool, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.511031.

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16

Speight, James Martin. "On the dynamics of topological solitons." Thesis, Durham University, 1995. http://etheses.dur.ac.uk/5205/.

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This thesis investigates the dynamics of lump-like objects in non-integrable field theories, whose stability is due to topological considerations. The work concerns three different low dimensional ((1 + 1)- and (2 + l)-dimensional) systems and addresses the questions of how the topology and metric structure of physical space, the quantum mechanics of the basic field quanta and intersoliton interactions affect soliton dynamics. In chapter 2 a sine-Gordon system in discrete space, but with continuous time, is presented. This has some novel features, namely a topological lower bound on the energy
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17

Dykstra, Andrew. "Two equivalence relations in symbolic dynamics." College Park, Md. : University of Maryland, 2007. http://hdl.handle.net/1903/6815.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>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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18

Galilo, Bogdan. "Topological spin dynamics in 2D Bose lattices." Thesis, Imperial College London, 2017. http://hdl.handle.net/10044/1/57506.

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This thesis presents theoretical work devoted to the manifestation of the edge states of boson topological band insulators in optical lattice experiments with weakly-interacting spinor condensates. Although the investigation is presented mainly on a spin-one Kane-Mele model, many aspects of this thesis can be generalised to other lattice models. One major question this thesis addresses is the relevance of topological edge states in the dynamics of the interacting boson systems. This thesis shows how interactions in quenched spinor condensates can facilitate the manifestation of the edge states
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19

Zheng, Li-Yang. "Granular monolayers : wave dynamics and topological properties." Thesis, Le Mans, 2017. http://www.theses.fr/2017LEMA1035/document.

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Les cristaux granulaires sont des structures périodiques de particules disposées en réseau cristallin. Les interactions entre ces billes peuvent être modélisées par leurs contacts, qui ont des dimensions et des masses effectives beaucoup plus petites que celles des billes. Ceci induit une propagation d'ondes élastiques dans les structures granulaires avec des vitesses significativement plus lentes que dans le matériau des grains individuels. En outre, en raison de forces de cisaillement non centrales, les rotations de particules peuvent être initiées, conduisant à des modes de phononiques supp
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20

Tino, Peter, Christian Schittenkopf, Georg Dorffner, and Engelbert J. Dockner. "A symbolic dynamics approach to volatility prediction." SFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business, 1998. http://epub.wu.ac.at/1142/1/document.pdf.

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We consider the problem of predicting the direction of daily volatility changes in the Dow Jones Industrial Average (DJIA). This is accomplished by quantizing a series of historic volatility changes into a symbolic stream over 2 or 4 symbols. We compare predictive performance of the classical fixed-order Markov models with that of a novel approach to variable memory length prediction (called prediction fractal machine, or PFM) which is able to select very specific deep prediction contexts (whenever there is a sufficient support for such contexts in the training data). We learn that daily volat
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21

Desai, Angela Veronica. "Zd̲ symbolic dynamics coding with an entropy inequality /." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/3531.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2006.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. On t.p. "d̲" is superscript. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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22

Motazedi, Niloufar. "The development of solvers for Symbolic Computational Dynamics." Thesis, University of Sheffield, 2017. http://etheses.whiterose.ac.uk/18069/.

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23

Koutsopoulos, Andreas [Verfasser]. "Dynamics and efficiency in topological self-stabilization / Andreas Koutsopoulos." Paderborn : Universitätsbibliothek, 2016. http://d-nb.info/1090965753/34.

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24

McGlade, James Alan. "The dynamics of topological solitons within the geodesic approximation." Thesis, University of Leeds, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.424025.

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25

Fontana, Antonio Pietro. "On a proposed symbolic dynamics for the Hénon map /." Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1993. http://handle.dtic.mil/100.2/ADA272514.

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Thesis (M.S. in Applied Mathematics) Naval Postgraduate School, June 1993.<br>Thesis advisor(s): Jeffery J. Leader ; Ismor Fischer. "June 1993." Includes bibliographical references. Also available online.
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26

Fontana, Antonio Pietro. "On a proposed symbolic dynamics for the HGenon map." Thesis, Monterey, California. Naval Postgraduate School, 1993. http://hdl.handle.net/10945/27182.

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The utility of a computationally simple yet cryptologically robust rule for generating pseudorandom bitstreams cannot be overstated. In most applications we strive to detect and avoid chaotic behavior; here we embrace a particular chaotic discrete dynamical system to exploit its use as a driver for a pseudorandom number generator. The map from the Henon attractor to the binary domain (0,1) proposed by Forre/Heyman has been tested cryptologically and statistically with mixed results. In this thesis we mathematically evaluate this symbolic dynamics scheme and investigate more rigorously its util
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27

Zivanovic, Sanja. "Attractors in Dynamics with Choice." Scholarly Repository, 2009. http://scholarlyrepository.miami.edu/oa_dissertations/210.

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Dynamics with choice is a generalization of discrete-time dynamics where instead of the same evolution operator at every time step there is a choice of operators to transform the current state of the system. Many real life processes studied in chemical physics, engineering, biology and medicine, from autocatalytic reaction systems to switched systems to cellular biochemical processes to malaria transmission in urban environments, exhibit the properties described by dynamics with choice. We study the long-term behavior in dynamics with choice. We prove very general results on the existence and
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28

Szabó, Gábor [Verfasser], and Wilhelm [Akademischer Betreuer] Winter. "Rokhlin dimension and topological dynamics / Gábor Szabó ; Betreuer: Wilhelm Winter." Münster : Universitäts- und Landesbibliothek Münster, 2015. http://d-nb.info/1138448605/34.

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Brox, Andreas Sören Jonathan [Verfasser], and Tobias [Akademischer Betreuer] Schätz. "Topological defects in Coulomb crystals : : spectroscopy and dynamics of solitons." Freiburg : Universität, 2017. http://d-nb.info/1143461754/34.

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30

Zucker, Andrew. "New Directions in the Abstract Topological Dynamics of Polish Groups." Research Showcase @ CMU, 2018. http://repository.cmu.edu/dissertations/1206.

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31

Basios, Vasileios. "Symbolic dynamics and control of chaotic systems :a probabilistic approach." Doctoral thesis, Universite Libre de Bruxelles, 2001. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211586.

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32

Mao, Ting, and 毛汀. "Theoretical studies of topological DIII-class chains and Weyl semimetals / y Ting Mao, MSci. Nanjing University." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2015. http://hdl.handle.net/10722/212613.

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Topological insulators and superconductors, which are featured by not only the topological characteristics of their gapped bulk band structure but also the special edge or surface states, have attracted great attention in the past few years. A complete classification of topological insulators and superconductors in terms of symmetry and spatial dimension has been established, while the application of their surface states remains a challenge. The gapless phases which have topologically stable Fermi surfaces could also exhibit peculiar surface states and topological transport phenomena in the bu
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33

Homer, B. J. "Application on nonstandard analysis to dynamical systems." Thesis, University of Southampton, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382180.

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34

Donoso, Fuentes Sebastián Andrés. "Contributions to ergodic theory and topological dynamics: cube structures and automorphisms." Tesis, Universidad de Chile, 2015. http://repositorio.uchile.cl/handle/2250/135055.

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Doctor en Ciencias de la Ingeniería, Mención Modelación Matemática<br>Esta tesis está consagrada al estudio de diferentes problemas en teoría ergódica y dinámica topológica, relacionados a "estructuras de cubos". Consta de seis capítulos. En la presentación general entregamos resultados generales, ligados en cierta manera a las estructuras de cubos que motivan esta tesis. Comenzamos por las estructuras de cubos introducidas en teoría ergódica por Host y Kra para probar la convergencia en L^2 de medias ergódicas múltiples. Luego presentamos su extensión a dinámica topológica, desarrollada por
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35

Curry, Clinton P. "Topological models for Julia sets." Birmingham, Ala. : University of Alabama at Birmingham, 2009. https://www.mhsl.uab.edu/dt/2009p/curry.pdf.

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Thesis (Ph. D.)--University of Alabama at Birmingham, 2009.<br>Title from PDF title page (viewed Sept. 2, 2009). Additional advisors: Alexander Blokh, Lex G. Oversteegen, Purushotham Bangalore, Vo Thanh Liem, Kyle Siegrist. Degree earned with the cooperation of additional faculty from the University of Alabama and the University of Alabama in Huntsville. Includes bibliographical references.
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36

Min, Byung No. "Object-oriented modeling for the dynamics of tree-topological flexible multibody systems." Thesis, McGill University, 2002. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=19569.

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Obtaining equations of motion is quite demanding but indispensable for the simulation of a multibody system, especially in space applications. This thesis is devoted to establishing a dynamics formalism and modeling tool in the framework of the objectoriented method for flexible multibody systems in a tree topology. In order to manage the modular construct as well as to take the material flexibility of body into account, the formulations are based on the Euler-Lagrange method in conjunction with the natural orthogonal complement of the kinematic constraint matrix. The elements constituting the
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37

Improta, Giovanni <1975&gt. "Symbolic Dynamics Analysis: a new methodology for foetal heart rate variability analysis." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amsdottorato.unibo.it/6953/.

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Cardiotocography (CTG) is a widespread foetal diagnostic methods. However, it lacks of objectivity and reproducibility since its dependence on observer's expertise. To overcome these limitations, more objective methods for CTG interpretation have been proposed. In particular, many developed techniques aim to assess the foetal heart rate variability (FHRV). Among them, some methodologies from nonlinear systems theory have been applied to the study of FHRV. All the techniques have proved to be helpful in specific cases. Nevertheless, none of them is more reliable than the others. Therefore, an i
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38

Gundlach, Volker Matthias. "Symbolic dynamics, shadowing and Gibbs states for some spatio-temporal chaotic systems." Thesis, University of Warwick, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304618.

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39

Xu, Dan. "Superstatistics and symbolic dynamics of share price returns on different time scales." Thesis, Queen Mary, University of London, 2017. http://qmro.qmul.ac.uk/xmlui/handle/123456789/24873.

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Share price returns on different time scales can be well modeled by a superstatistical dynamics. We provide an investigation which type of superstatistics is most suitable to properly describe share price dynamics on various time scales. It is shown that while chi-square-superstatistics works well on a time scale of days, on a much smaller time scale of minutes the price changes are better described by lognormal superstatistics. The system dynamics thus exhibits a transition from lognormal to chi-square-superstatistics as a function of time scale. We discuss a more general model interpolating
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40

Pederson, Steven M. "Homoclinic tangencies and families of interval maps with non-constant topological entropy." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/29167.

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Hillman, Chris. "Sturmian dynamical systems /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/5806.

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Jones, Leslie Braziel Raines Brian Edward. "Adding machines." Waco, Tex. : Baylor University, 2009. http://hdl.handle.net/2104/5311.

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Dunton, Alec. "Topological Data Analysis for Systems of Coupled Oscillators." Scholarship @ Claremont, 2016. http://scholarship.claremont.edu/hmc_theses/79.

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Coupled oscillators, such as groups of fireflies or clusters of neurons, are found throughout nature and are frequently modeled in the applied mathematics literature. Earlier work by Kuramoto, Strogatz, and others has led to a deep understanding of the emergent behavior of systems of such oscillators using traditional dynamical systems methods. In this project we outline the application of techniques from topological data analysis to understanding the dynamics of systems of coupled oscillators. This includes the examination of partitions, partial synchronization, and attractors. By looking for
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Weiß, Talitha [Verfasser], and Florian [Gutachter] Marquardt. "Nonlinear dynamics in quantum synchronization and topological transport / Talitha Weiß ; Gutachter: Florian Marquardt." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2017. http://d-nb.info/1138837555/34.

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Braun, Lukas Zacharias [Verfasser]. "Electron and Phonon Dynamics in Topological Insulators at THz Frequencies / Lukas Zacharias Braun." Berlin : Freie Universität Berlin, 2017. http://d-nb.info/1128150743/34.

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46

Juher, Barrot David. "Set of periods, topological entropy and combinatorial dynamics for tree and graph maps." Doctoral thesis, Universitat Autònoma de Barcelona, 2003. http://hdl.handle.net/10803/3078.

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La tesi versa sobre sistemes dinàmics discrets 1-dimensionals, des d'un punt de vista combinatori i topològic. Estem interessats en les òrbites periòdiques i l'entropia topològica de les aplicacions contínues definides en arbres i grafs.<br/>El problema central és la caracterització del conjunt de períodes de totes les òrbites periòdiques d'una aplicació contínua d'un arbre en ell mateix. El teorema de Sharkovskii (1964) fou el primer resultat remarcable en aquest sentit. Aquest bonic teorema estableix que el conjunt de períodes d'una aplicació de l'interval és un segment inicial d'un ordre li
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Braun, Lukas [Verfasser]. "Electron and Phonon Dynamics in Topological Insulators at THz Frequencies / Lukas Zacharias Braun." Berlin : Freie Universität Berlin, 2017. http://d-nb.info/1128150743/34.

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48

Skipper, Charles. "Melt Dynamics Correlated with Glass Topological Phases in dry Li- and Na- Borates." University of Cincinnati / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1562672753116725.

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49

Nalitov, Anton. "Spin dynamics ande topological effects in physics of indirect excitons and microcavity polaritons." Thesis, Clermont-Ferrand 2, 2015. http://www.theses.fr/2015CLF22569/document.

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Cette thèse est consacrée à de nouveaux phénomènes en physique liées au spin et à la topologie des quasi-particules lumière-matière dans des hétérostructures. Elle est divisée en quatre parties. Chapitre 1 donne un fond nécessaire et introduit les propriétés fondamentales des polaritons et des excitons indirects dans des puits quantiques couplés. Chapitre 2 est concentré sur la dynamique de spin et sur formation de défauts topologiques dans des systèmes aux excitons indirects. Les 2 derniers chapitres considèrent les structures basées sur les microcavités. Chapitre 3 est consacré à la dynamiqu
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50

Klees, Raffael L. [Verfasser]. "Nonequilibrium Transport and Dynamics in Conventional and Topological Superconducting Junctions / Raffael L. Klees." Konstanz : KOPS Universität Konstanz, 2021. http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1xc5kuld9xk1q7.

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