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Dissertations / Theses on the topic 'Chaotic behvaior in systems'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2025

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1

Che, Dzul-Kifli Syahida. "Chaotic dynamical systems." Thesis, University of Birmingham, 2012. http://etheses.bham.ac.uk//id/eprint/3410/.

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In this work, we look at the dynamics of four different spaces, the interval, the unit circle, subshifts of finite type and compact countable sets. We put our emphasis on chaotic dynamical system and exhibit sufficient conditions for the system on the interval, the unit circle and subshifts of finite type to be chaotic in three different types of chaos. On the interval, we reveal two weak conditions’s role as a fast track to chaotic behavior. We also explain how a strong dense periodicity property influences chaotic behavior of dynamics on the interval, the unit circle and subshifts of finite

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2

Baek, Seung-Jong. "Synchronization in chaotic systems." College Park, Md.: University of Maryland, 2007. http://hdl.handle.net/1903/7728.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Dept. of Electrical and Computer Engineering. 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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3

Tang, Xian Zhu. "Transport in chaotic systems." W&M ScholarWorks, 1996. https://scholarworks.wm.edu/etd/1539623882.

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This dissertation addresses the general problem of transport in chaotic systems. Typical fluid problem of the kind is the advection and diffusion of a passive scalar. The magnetic field evolution in a chaotic conducting media is an example of the chaotic transport of a vector field. In kinetic theory, the collisional relaxation of a distribution function in phase space is also an advection-diffusion problem, but in a higher dimensional space.;In a chaotic flow neighboring points tend to separate exponentially in time, exp({dollar}\omega t{dollar}) with {dollar}\omega{dollar} the Liapunov expon

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4

Bäcker, Arnd. "Eigenfunctions in chaotic quantum systems." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1213275874643-50420.

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The structure of wavefunctions of quantum systems strongly depends on the underlying classical dynamics. In this text a selection of articles on eigenfunctions in systems with fully chaotic dynamics and systems with a mixed phase space is summarized. Of particular interest are statistical properties like amplitude distribution and spatial autocorrelation function and the implication of eigenfunction structures on transport properties. For systems with a mixed phase space the separation into regular and chaotic states does not always hold away from the semiclassical limit, such that chaotic sta

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5

Wiklund, Kjell Ottar. "Multifractal properties of chaotic systems." Thesis, Imperial College London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338772.

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6

Bernhard, Michael A. "Introduction to chaotic dynamical systems." Thesis, Monterey, California. Naval Postgraduate School, 1992. http://hdl.handle.net/10945/23708.

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The emerging discipline known as "chaos theory" is a relatively new field of study with a diverse range of applications (economics, biology, meteorology, etc.). Despite this, there is not as yet a universally accepted definition for "chaos" as it applies to gen- eral dynamical systems. Various approaches range from topological methods of a qualitative description, to physical notions of randomness, information, and entropy in crgodic theory, to the development of computational definitions and algorithms designed to obtain quantitative information. This thesis develops some of the current defi

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7

Santoboni, Giovanni. "Synchronisation of coupled chaotic systems." Thesis, University College London (University of London), 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.391672.

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8

Xu, Daolin. "Flexible control of chaotic systems." Thesis, University College London (University of London), 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338926.

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9

Frisk, Martin. "Synchronization in chaotic dynamical systems." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-287624.

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10

Bäcker, Arnd. "Eigenfunctions in chaotic quantum systems." Doctoral thesis, Technische Universität Dresden, 2007. https://tud.qucosa.de/id/qucosa%3A23663.

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The structure of wavefunctions of quantum systems strongly depends on the underlying classical dynamics. In this text a selection of articles on eigenfunctions in systems with fully chaotic dynamics and systems with a mixed phase space is summarized. Of particular interest are statistical properties like amplitude distribution and spatial autocorrelation function and the implication of eigenfunction structures on transport properties. For systems with a mixed phase space the separation into regular and chaotic states does not always hold away from the semiclassical limit, such that chaotic sta

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11

Polo, Fabrizio. "Equidistribution on Chaotic Dynamical Systems." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1306527005.

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12

Michaels, Alan Jason. "Digital chaotic communications." Diss., Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/34849.

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This dissertation provides the conceptual development, modeling and simulation, physical implementation, and measured hardware results for a practicable digital coherent chaotic communication system. Such systems are highly desirable for robust communications due to the maximal entropy signal characteristics that satisfy Shannon's ideal noise-like waveform and provide optimal data transmission across a flat communications channel. At the core of the coherent chaotic communications system is a fully digital chaotic circuit, providing an efficiently controllable mechanism that overcomes the trad

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13

Grant, Angela Elyse. "Finding optimal orbits of chaotic systems." College Park, Md. : University of Maryland, 2005. http://hdl.handle.net/1903/3220.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2005.<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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14

Kohler, Heiner. "Group integrals in chaotic quantum systems." [S.l. : s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=961274352.

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15

Mulansky, Mario. "Chaotic diffusion in nonlinear Hamiltonian systems." Phd thesis, Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2013/6318/.

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This work investigates diffusion in nonlinear Hamiltonian systems. The diffusion, more precisely subdiffusion, in such systems is induced by the intrinsic chaotic behavior of trajectories and thus is called chaotic diffusion''. Its properties are studied on the example of one- or two-dimensional lattices of harmonic or nonlinear oscillators with nearest neighbor couplings. The fundamental observation is the spreading of energy for localized initial conditions. Methods of quantifying this spreading behavior are presented, including a new quantity called excitation time. This new quantity allows

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16

Ramirez, Daniel Alonso. "Semiclassical quantization and classical chaotic systems." Doctoral thesis, Universite Libre de Bruxelles, 1995. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212531.

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17

Çiftçi, Mahmut. "Channel equalization for chaotic communications systems." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/15464.

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18

Williams, Christopher. "Chaotic synchronisation in wideband communication systems." Thesis, University of Bristol, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299732.

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19

Carlu, Mallory. "Instability in high-dimensional chaotic systems." Thesis, University of Aberdeen, 2019. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=240675.

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In this thesis I make extensive use of the Lyapunov analysis formalism to unravel fundamental mechanisms of instability in two diﬀerent systems : the Kuramoto model of globally coupled phase-oscillators and the Lorenz 96 (L96) atmospheric "toy" model, portraying the evolution of a physical quantity along a latitude circle. I start by introducing the relevant theoretical background, with special attention on the main tools I have been using throughout this work : Lyapunov Exponents (LEs), which quantify the asymptotic growth rates of inﬁnitesimal perturbations in a system, and by extension, its

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20

Richard, Michael D. (Michael David). "Estimation and detection with chaotic systems." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/12230.

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Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1994.<br>Includes bibliographical references (p. 209-214).<br>by Michael D. Richard.<br>Sc.D.

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21

Lesnik, Dmitry. "Transport scaling in incompletely chaotic Hamiltonian systems." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=964989263.

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22

Locquet, Alexandre Daniel. "Chaotic optical communications using delayed feedback systems." Available online, Georgia Institute of Technology, 2005, 2005. http://etd.gatech.edu/theses/available/etd-01102006-133806/.

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Thesis (Ph. D.)--Electrical and Computer Engineering, Georgia Institute of Technology, 2006.<br>Bertrand Boussert, Committee Member ; Douglas B. Williams, Committee Member ; William T. Rhodes, Committee Member ; Yves Berthelot, Committee Member ; David S. Citrin, Committee Chair.

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23

Locquet, Alexandre Daniel. "Chaotic optical communications using delayed feedback systems." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/10431.

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Chaotic dynamics produced by optical delay systems have interesting applications in telecommunications. Optical chaos can be used to transmit secretly, in real-time, a message between an emitter and a receiver. The noise-like appearance of chaos is used to conceal the message, and the synchronization of the receiver with the chaotic emitter is used to decode the message. This work focuses on the study of two crucial topics in the field of chaotic optical communications. The first topic is the synchronization of chaotic external-cavity laser diodes, which are among the most promising chaotic

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24

Kim, Ho Jun. "Quantification of chaotic mixing in microfluidic systems." Texas A&M University, 2004. http://hdl.handle.net/1969.1/1084.

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Periodic and chaotic dynamical systems follow deterministic equations such as Newton's laws of motion. To distinguish the difference between two systems, the initial conditions have an important role. Chaotic behaviors or dynamics are characterized by sensitivity to initial conditions. Mathematically, a chaotic system is defined as a system very sensitive to initial conditions. A small difference in initial conditions causes unpredictability in the final outcome. If error is measured from the initial state, the relative error grows exponentially. Prediction becomes impossible and finally, chao

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25

Everson, R. M. "Detection and description of deterministic chaotic systems." Thesis, University of Leeds, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.233210.

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26

Yannacopoulos, A. N. "Diffusion models in strongly chaotic Hamiltonian systems." Thesis, University of Warwick, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.357654.

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27

Shin, Kihong. "Characterisation and identification of chaotic dynamical systems." Thesis, University of Southampton, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.242459.

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28

Barron, Richard J. (Richard John). "Channel equalization for self-synchronizing chaotic systems." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/38828.

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29

Çek, Mehmet Emre Savacı Ferit Acar. "Analysis of observed chaotic data/." [s.l.]: [s.n.], 2004. http://library.iyte.edu.tr/tezler/master/elektronikvehaberlesme/T000493.rar.

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30

Schäfer, Rudi. "Correlation functions and fidelity decay in chaotic systems." [S.l. : s.n.], 2004. http://archiv.ub.uni-marburg.de/diss/z2004/0660/.

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31

Rontani, Damien. "Communications with chaotic optoelectronic systems - cryptography and multiplexing." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/42810.

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With the rapid development of optical communications and the increasing amount of data exchanged, it has become utterly important to provide effective ar- chitectures to protect sensitive data. The use of chaotic optoelectronic devices has already demonstrated great potential in terms of additional computational security at the physical layer of the optical network. However, the determination of the security level and the lack of a multi-user framework are two hurdles which have prevented their deployment on a large scale. In this thesis, we propose to address these two issues. First, we inve

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32

Kobayashi, Miki U. "Determination of dynamical correlation functions in chaotic systems." 京都大学 (Kyoto University), 2008. http://hdl.handle.net/2433/136009.

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33

Kharel, Rupak. "Design and implementation of secure chaotic communication systems." Thesis, Northumbria University, 2011. http://nrl.northumbria.ac.uk/4205/.

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Chaotic systems have properties such as ergodicity, sensitivity to initial conditions/parameter mismatches, mixing property, deterministic dynamics, structure complexity, to mention a few, that map nicely with cryptographic requirements such as confusion, diffusion, deterministic pseudorandomness, algorithm complexity. Furthermore, the possibility of chaotic synchronization, where the master system (transmitter) is driving the slave system (receiver) by its output signal, made it probable for the possible utilization of chaotic systems to implement security in the communication systems. Many m

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34

Elkouny, Abdel-latif Ahmed Abdel-latif. "Real time secure communications using chaotic encryption systems." Thesis, University of Kent, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.274326.

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35

Freedman, Alan Edward. "Transmission channel compensation in self-synchronizing chaotic systems." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/36982.

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Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1995.<br>Includes bibliographical references (leaf 38).<br>by Alan Edward Freedman.<br>M.Eng.

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36

Cuomo, Kevin M. "Analysis and synthesis of self-synchronizing chaotic systems." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/12211.

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37

Leitão, Jorge C. "Importance Sampling of Rare Events in Chaotic Systems." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-209014.

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Rare events play a crucial role in our society and a great effort has been dedicated to numerically study them in different contexts. This thesis proposes a numerical methodology based on Monte Carlo Metropolis-Hastings algorithm to efficiently sample rare events in chaotic systems. It starts by reviewing the relevance of rare events in chaotic systems, focusing in two types of rare events: states in closed systems with rare chaoticities, characterised by a finite-time Lyapunov exponent on a tail of its distribution, and states in transiently chaotic systems, characterised by a escape time on

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38

Han, Pin 1967. "Chaotic dynamics in classical and quantum mechanical systems." Diss., The University of Arizona, 1996. http://hdl.handle.net/10150/282102.

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This dissertation describes mainly researches on the chaotic properties of some classical and quantum mechanical systems. New phenomena like the three-dimensional uniform stochastic web and multiply riddled behavior are presented with numerical results. In the introduction, a short history and basic principles about chaotic dynamical systems are reviewed, which include the concepts of Lyapunov exponents and Poincare sections. In Chapter 2, we first discuss the Hamiltonian system, followed by the perturbation and KAM theory, then introduce Arnold diffusion and the existence of stochastic webs.

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39

Ursini, Leonora. "Optical Chaotic Transmission Systems For Secure Data Communication." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3425929.

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The optical chaos dynamics are investigated for obtaining the secure transmission of an information message. A detailed numerical analysis of an optical chaotic transmission system, based on the synchronization of two chaotic lasers is presented. At the transmitter, the chaotic waveform is superposed on the information message; at the receiver, the message is recovered by subtracting the synchronized chaotic wave from the received signal. The aim is the investigation of the system performance for various configurations. Original methods are also proposed for improving the performance. Finall

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40

Reiss, Joshua D. "The analysis of chaotic time series." Diss., Full text available online (restricted access), 2001. http://images.lib.monash.edu.au/ts/theses/reiss.pdf.

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41

Albert, Gerald (Gerald Lachian). "Synchronous Chaos, Chaotic Walks, and Characterization of Chaotic States by Lyapunov Spectra." Thesis, University of North Texas, 1993. https://digital.library.unt.edu/ark:/67531/metadc277794/.

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Four aspects of the dynamics of continuous-time dynamical systems are studied in this work. The relationship between the Lyapunov exponents of the original system and the Lyapunov exponents of induced Poincare maps is examined. The behavior of these Poincare maps as discriminators of chaos from noise is explored, and the possible Poissonian statistics generated at rarely visited surfaces are studied.

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42

Cromwell, Jeff B. "Chaotic price dynamics of agricultural commodities." Morgantown, W. Va. : [West Virginia University Libraries], 2004. https://etd.wvu.edu/etd/controller.jsp?moduleName=documentdata&jsp%5FetdId=3625.

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Thesis (Ph. D.)--West Virginia University, 2004.<br>Title from document title page. Document formatted into pages; contains vi, 166 p. : ill. Includes abstract. Includes bibliographical references (p. 142-160).

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43

Lindquist, Roslyn Gay. "The dimension of a chaotic attractor." PDXScholar, 1991. https://pdxscholar.library.pdx.edu/open_access_etds/4182.

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Tools to explore chaos are as far away as a personal computer or a pocket calculator. A few lines of simple equations in BASIC produce fantastic graphic displays. In the following computer experiment, the dimension of a strange attractor is found by three algorithms; Shaw's, Grassberger-Procaccia's and Guckenheimer's. The programs were tested on the Henon attractor which has a known fractal dimension. Shaw's and Guckenheimer's algorithms were tested with 1000 data points, and Grassberger's with 100 points, a data set easily handled by a PC in one hour or less using BASIC or any other language

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44

Ghofranih, Jahangir. "Control and estimation of a chaotic system." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/29601.

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A class of deterministic nonlinear systems known as ”chaotic” behaves similar to noise-corrupted systems. As a specific example, Duffing equation, a nonlinear oscillator representing the roll dynamics of a vessel, was chosen for the study. State estimation and control of such systems in the presence of measurement noise is the prime goal of this research. A nonlinear estimation suitable for chaotic systems was evaluated against conventional methods based on linear equivalent model, and proved to be very efficient. A state feedback controller and a sliding mode controller were applied to the ch

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45

Saberi, Fathi Seyed Majid. "Entropy in classical chaotic Systems and lifetime in the unstable quantum Systems." Paris 7, 2007. http://www.theses.fr/2007PA077089.

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Dans cette thèse, nous étudions un modèle de désintégration (decay) d'un système quantique à plusieurs niveaux appelé le modèle de Friedrichs. Dans un premier travail, nous considérons un couplage d'un kaon avec un environnement décrit par un continuum d'énergie. On montre que les oscillations du kaon entre les états KI et K2 leur désintégrations et la violation CP sont bien décrits par ce type de modèle. Ensuite, nous appliquons à ce modèle le formalisme de l'opérateur de temps qui décrit la résonance, c'est-à-dire la probabilité de survie des états instables. Enfin, nous considérons un gaz d

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46

Fleming-Dahl, Arthur. "A chaotic communication system with a receiver estimation engine." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/15651.

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47

Kateregga, George William. "Bifurcations in a chaotic dynamical system." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2019. http://www.nusl.cz/ntk/nusl-401527.

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Dynamical systems possess an interesting and complex behaviour that have attracted a number of researchers across different fields, such as Biology, Economics and most importantly in Engineering. The complex and unpredictability of nonlinear customary behaviour or the chaotic behaviour, makes it strange to analyse them. This thesis presents the analysis of the system of nonlinear differential equations of the so--called Lu--Chen--Cheng system. The system has similar dynamical behaviour with the famous Lorenz system. The nature of equilibrium points and stability of the system is presented in t

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48

VanWiggeren, Gregory D. "Chaotic communication with erbium-doped fiber ring lasers." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/30299.

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49

Schwiete, Georg. "Supermatrix models for disordered, chaotic and interacting electron systems." [S.l.] : [s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=973471522.

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50

Weibert and Kirsten. "Semiclassical quantization of integrable and chaotic billiard systems by." Phd thesis, Universitaet Stuttgart, 2001. http://elib.uni-stuttgart.de/opus/volltexte/2001/815/index.html.

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