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Dissertations / Theses on the topic 'Differentiable dynamical systems'

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Published: 4 June 2021

Last updated: 31 July 2024

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1

Boczko, Erik M. "Polygonal approximation for flows." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/27306.

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2

Narayanan, Vivek. "Some aspects of the geometry of Poisson dynamical systems." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3038192.

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3

Hollingsworth, Blane Jackson Schmidt Paul G. "Stochastic differential equations a dynamical systems approach /." Auburn, Ala, 2008. http://repo.lib.auburn.edu/EtdRoot/2008/SPRING/Mathematics_and_Statistics/Dissertation/Hollingsworth_Blane_43.pdf.

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4

Leiva, Hugo. "Skew-product semiflows and time-dependent dynamical systems." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/29912.

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5

Eidenschink, Michael. "Exploring global dynamics : a numerical algorithm based on the Conley index theory." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/30328.

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6

Yantır, Ahmet Ufuktepe Ünal. "Oscillation theory for second order differential equations and dynamic equations on time scales/." [s.l.]: [s.n.], 2004. http://library.iyte.edu.tr/tezler/master/matematik/T000418.pdf.

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7

Hall, Kelli J. "Dynamic equations on changing time scales dynamics of given logistic problems, parameterization, and convergence of solutions /." Huntington, WV : [Marshall University Libraries], 2005. http://www.marshall.edu/etd/descript.asp?ref=636.

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8

Duke, Elizabeth R. "Solving higher order dynamic equations on time scales as first order systems." Huntington, WV : [Marshall University Libraries], 2006. http://www.marshall.edu/etd/descript.asp?ref=653.

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9

Otunuga, Olusegun Michael. "Finding positive solutions of boundary value dynamic equations on time scale." [Huntington, WV : Marshall University Libraries], 2009. http://www.marshall.edu/etd/descript.asp?ref=997.

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10

Joyner, Sheldon T. "On non-archimedean dynamical systems." Thesis, Stellenbosch : Stellenbosch University, 2000. http://hdl.handle.net/10019.1/51861.

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Thesis (MSc) -- University of Stellenbosch, 2000.<br>ENGLISH ABSTRACT: A discrete dynamical system is a pair (X, cf;) comprising a non-empty set X and a map cf; : X ---+ X. A study is made of the effect of repeated application of cf; on X, whereby points and subsets of X are classified according to their behaviour under iteration. These subsets include the JULIA and FATOU sets of the map and the sets of periodic and preperiodic points, and many interesting questions arise in the study of their properties. Such questions have been extensively studied in the case of complex dynamics, but m

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11

Kama, Phumezile. "Non-standard finite difference methods in dynamical systems." Thesis, Pretoria : [s.n.], 2009. http://upetd.up.ac.za/thesis/available/etd-07132009-163422.

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12

Gu, Keqin. "Determining attractors, basins of attraction and trajectory control of nonlinear dynamical systems." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/22970.

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13

Stonier, D. J., and mikewood@deakin edu au. "Stability theory and numerical analysis of non-autonomous dynamical systems." Deakin University. School of Information Technology, 2003. http://tux.lib.deakin.edu.au./adt-VDU/public/adt-VDU20051125.113243.

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The development and use of cocycles for analysis of non-autonomous behaviour is a technique that has been known for several years. Initially developed as an extension to semi-group theory for studying rion-autonornous behaviour, it was extensively used in analysing random dynamical systems [2, 9, 10, 12]. Many of the results regarding asymptotic behaviour developed for random dynamical systems, including the concept of cocycle attractors were successfully transferred and reinterpreted for deterministic non-autonomous systems primarily by P. Kloeden and B. Schmalfuss [20, 21, 28, 29]. The theor

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14

Driessen, Brian J. "Efficient numerical methods for obtaining and tracking minimum time trajectories of dynamical systems." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/17392.

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15

Cowan, John D. "A billiard model for a gas of particles with rotation /." Thesis, Connect to Dissertations & Theses @ Tufts University, 2004.

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Thesis (Ph.D.)--Tufts University, 2004.<br>Adviser: Boris Hasselblatt. Submitted to the Dept. of Mathematics. Includes bibliographical references (leaves 61-62). Access restricted to members of the Tufts University community. Also available via the World Wide Web;

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16

Rehacek, Jan. "Ergodic billiards and mechanism of defocusing in N dimensions." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/28886.

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17

Day, Sarah. "A rigorous numerical method in infinite dimensions." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/28983.

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18

Potts, Michael Alan Sherred. "Approximating differentiable relationships between delay embedded dynamical systems with radial basis functions." Thesis, Aston University, 1996. http://publications.aston.ac.uk/10598/.

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This thesis is about the study of relationships between experimental dynamical systems. The basic approach is to fit radial basis function maps between time delay embeddings of manifolds. We have shown that under certain conditions these maps are generically diffeomorphisms, and can be analysed to determine whether or not the manifolds in question are diffeomorphically related to each other. If not, a study of the distribution of errors may provide information about the lack of equivalence between the two. The method has applications wherever two or more sensors are used to measure a single sy

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19

Richardson, Peter A. (Peter Adolph) 1955. "Natural Smooth Measures on the Leaves of the Unstable Manifold of Open Billiard Dynamical Systems." Thesis, University of North Texas, 1998. https://digital.library.unt.edu/ark:/67531/metadc278917/.

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In this paper, we prove, for a certain class of open billiard dynamical systems, the existence of a family of smooth probability measures on the leaves of the dynamical system's unstable manifold. These measures describe the conditional asymptotic behavior of forward trajectories of the system. Furthermore, properties of these families are proven which are germane to the PYC programme for these systems. Strong sufficient conditions for the uniqueness of such families are given which depend upon geometric properties of the system's phase space. In particular, these results hold for a fairly no

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20

Michalski, Milosz R. "Perturbation theory for the topological pressure in analytic dynamical systems." Diss., Virginia Tech, 1990. http://hdl.handle.net/10919/39745.

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We develop a systematic approach to the problem of finding the perturbative expansion for the topological pressure for an analytic expanding dynamics (/, M) on a Riemannian manifold M. The method is based on the spectral analysis of the transfer operator C. We show that in typical cases, when / depends real-analytically on a set of perturbing parameters ,", the related operators C~ form an analytic family. This gives rise to the rigorous construction of the power series expansion for the pressure via the analytic perturbation theory for eigenvalues, [Kato]. Consequently, the pressure a

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21

Rogers, Jeffrey L. "Modulated pattern formation : stabilization, complex-order, and symmetry." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/30930.

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22

Schröder, Jochen. "Modelling, state observation and diagnosis of quantised systems /." Berlin [u.a.] : Springer, 2003. http://www.loc.gov/catdir/enhancements/fy0813/2002030222-d.html.

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23

Hollander, Michael Israel. "Linear numeration systems, finite beta expansions, and discrete spectrum of substitution dynamical systems /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/5747.

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24

Gianluigi, Del Magno. "Dynamics of billiards." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/29581.

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25

Syzmczak, Andrzej. "Index pairs : from dynamics to combinatorics and back." Diss., Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/28027.

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26

Watson, Greg M. "Computation of homology and an application to the conley index." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/29916.

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27

Foley, Dawn Christine. "Applications of State space realization of nonlinear input/output difference equations." Thesis, Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/16818.

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28

Nersesov, Sergey G. "Nonlinear Impulsive and Hybrid Dynamical Systems." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7147.

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Modern complex dynamical systems typically possess a multiechelon hierarchical hybrid structure characterized by continuous-time dynamics at the lower-level units and logical decision-making units at the higher-level of hierarchy. Hybrid dynamical systems involve an interacting countable collection of dynamical systems defined on subregions of the partitioned state space. Thus, in addition to traditional control systems, hybrid control systems involve supervising controllers which serve to coordinate the (sometimes competing) actions of the lower-level controllers. A subclass of hybrid dynamic

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29

Osman, Abdusslam. "Smoothness of invariant densities for certain classes of dynamical systems." Thesis, Connect to online version, 1996. http://0-wwwlib.umi.com.mercury.concordia.ca/cr/concordia/fullcit?pMQ90889.

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30

Rein, Robert, and n/a. "Movement coordination in a discrete multi-articular action from a dynamical systems perspective." University of Otago. School of Physical Education, 2007. http://adt.otago.ac.nz./public/adt-NZDU20080125.144336.

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Dynamical systems theory represents a prominent theoretical framework for the investigation of movement coordination and control in complex neurobiological systems. Central to this theory is the investigation of pattern formation in biological movement through application of tools from nonlinear dynamics. Movement patterns are regarded as attractors and changes in movement coordination can be described as phase transitions. Phase transitions typically exhibit certain key indicators like critical fluctuations, critical slowing down and hysteresis, which enable the formulation of hypotheses and

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31

Kundu, Abhishek. "Efficient uncertainty propagation schemes for dynamical systems with stochastic finite element analysis." Thesis, Swansea University, 2014. https://cronfa.swan.ac.uk/Record/cronfa42292.

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Efficient uncertainty propagation schemes for dynamical systems are investigated here within the framework of stochastic finite element analysis. Uncertainty in the mathematical models arises from the incomplete knowledge or inherent variability of the various parametric and geometric properties of the physical system. These input uncertainties necessitate the use of stochastic mathematical models to accurately capture their behavior. The resolution of such stochastic models is computationally quite expensive. This work is concerned with development of model order reduction techniques for obta

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32

Al-Nayef, Anwar Ali Bayer, and mikewood@deakin edu au. "Semi-hyperbolic mappings in Banach spaces." Deakin University. School of Computing and Mathematics, 1997. http://tux.lib.deakin.edu.au./adt-VDU/public/adt-VDU20051208.110247.

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The definition of semi-hyperbolic dynamical systems generated by Lipschitz continuous and not necessarily invertible mappings in Banach spaces is presented in this thesis. Like hyperbolic mappings, they involve a splitting into stable and unstable spaces, but a slight leakage from the strict invariance of the spaces is possible and the unstable subspaces are assumed to be finite dimensional. Bi-shadowing is a combination of the concepts of shadowing and inverse shadowing and is usually used to compare pseudo-trajectories calculated by a computer with the true trajectories. In this thesis, the

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33

Reichl, Paul 1973. "Flow past a cylinder close to a free surface." Monash University, Dept. of Mechanical Engineering, 2001. http://arrow.monash.edu.au/hdl/1959.1/9212.

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34

Simonis, Joseph P. "Newton-Picard Gauss-Seidel." Digital WPI, 2005. https://digitalcommons.wpi.edu/etd-dissertations/285.

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Newton-Picard methods are iterative methods that work well for computing roots of nonlinear equations within a continuation framework. This project presents one of these methods and includes the results of a computation involving the Brusselator problem performed by an implementation of the method. This work was done in collaboration with Andrew Salinger at Sandia National Laboratories.

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35

Simonis, Joseph P. "Newton-Picard Gauss-Seidel." Link to electronic thesis, 2004. http://www.wpi.edu/Pubs/ETD/Available/etd-051305-162036/unrestricted/simonis.pdf.

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36

Graciano, Flávio Heleno. "Estudo de difusão caótica em um modelo de poço de potencial dependente do tempo /." Rio Claro, 2018. http://hdl.handle.net/11449/157209.

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Orientador: Edson Denis Leonel<br>Banca: Juliano Antônio de Oliveira<br>Banca: Renê Orlando Medrado Torricos<br>Resumo: Neste trabalho consideramos o modelo do poço de potencial dependente do tempo e construimos de forma detalhada o mapeamento discreto bidimensional nas variáveis energia e fase que descreve a dinâmica do sistema. Mostramos que o espaço de fases é do tipo misto, contendo mares de caos, curvas invariantes e ilhas de estabilidade. Encontramos a matriz Jacobiana para o mapeamento assim como seu determinante, confirmando a propriedade de preservação de área. Estudamos a evolução no

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37

Steinfeldt, Bradley Alexander. "The multidisciplinary design problem as a dynamical system." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/49084.

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A general multidisciplinary design problem features coupling and feedback between contributing analyses. This feedback may lead to convergence issues requiring significant iteration in order to obtain a feasible design. This work casts the multidisciplinary design problem as a dynamical system in order to leverage the benefits of dynamical systems theory in a new domain. Three areas from dynamical system theory are chosen for investigation: stability analysis, optimal control, and estimation theory. Stability analysis is used to investigate the existence of a solution to the design problem and

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38

Paskauskas, Rytis. "Chaotic Scattering in Rydberg Atoms, Trapping in Molecules." Diss., Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19809.

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We investigate chaotic ionization of highly excited hydrogen atom in crossed electric and magnetic fields (Rydberg atom) and intra-molecular relaxation in planar carbonyl sulfide (OCS) molecule. The underlying theoretical framework of our studies is dynamical systems theory and periodic orbit theory. These theories offer formulae to compute expectation values of observables in chaotic systems with best accuracy available in given circumstances, however they require to have a good control and reliable numerical tools to compute unstable periodic orbits. We have developed such methods of computa

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39

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

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40

Lan, Yueheng. "Dynamical systems approach to one-dimensional spatiotemporal chaos -- A cyclist's view." Diss., Available online, Georgia Institute of Technology, 2004:, 2004. http://etd.gatech.edu/theses/available/etd-10282004-154606/unrestricted/lan%5Fyueheng%5F200412%5Fphd.pdf.

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Thesis (Ph. D.)--Physics, Georgia Institute of Technology, 2005.<br>Jean Bellissard, Committee Member ; Turgay Uzer, Committee Member ; Roman Grigoriev, Committee Member ; Konstantin Mischaikow, Committee Member ; Predrag Cvitanovic, Committee Chair. Vita. Includes bibliographical references.

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41

Lenarduzzi, Fernando Nera [UNESP]. "Suspensões de Poisson, ergodicidade e o teorema central do limite." Universidade Estadual Paulista (UNESP), 2013. http://hdl.handle.net/11449/92945.

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Made available in DSpace on 2014-06-11T19:26:15Z (GMT). No. of bitstreams: 0 Previous issue date: 2013-09-11Bitstream added on 2014-06-13T20:47:15Z : No. of bitstreams: 1 lenarduzzi_fn_me_sjrp.pdf: 432607 bytes, checksum: 6e0e82d0a71ba0e530e2f097612c9be5 (MD5)<br>Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)<br>O objetivo principal deste trabalho e estudar os resultados apresentados por R. Zeimuller em Poisson Suspensions of Compactly Regenerative Transformations[Z0]. Neste artigo, partindo de um espaço de medida σ-finito (X;A;μ) com uma transformação ergódica T, o aut

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42

Allen, Benjamin T. Gravagne Ian A. "Experimental investigation of a time scales linear feedback control theorem." Waco, Tex. : Baylor University, 2007. http://hdl.handle.net/2104/5116.

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43

Lenarduzzi, Fernando Nera. "Suspensões de Poisson, ergodicidade e o teorema central do limite /." São José do Rio Preto, 2013. http://hdl.handle.net/11449/92945.

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Orientador: Ali Messaoudi<br>Coorientador: Patricia Romano Cirilo<br>Banca: Carlos Gustavo Tamm de Araujo Moreira<br>Banca: Claudio Aguinaldo Buzzi<br>Resumo: O objetivo principal deste trabalho e estudar os resultados apresentados por R. Zeimuller em Poisson Suspensions of Compactly Regenerative Transformations[Z0]. Neste artigo, partindo de um espaço de medida σ-finito (X;A;μ) com uma transformação ergódica T, o autor consideração de T em "poeiras" enumeráveis de pontos, o que define uma transformação T num espaço de probabilidade ~ X. Será mostrado que ~ T e invariante e ergódica para uma m

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44

Ford, Walter Davis Gravagne Ian A. "Development and implementation of real-time distributed network with the CAN protocol." Waco, Tex. : Baylor University, 2005. http://hdl.handle.net/2104/2999.

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45

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

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46

Demaeyer, Jonathan. "Escape rate theory for noisy dynamical systems." Doctoral thesis, Universite Libre de Bruxelles, 2013. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209440.

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The escape of trajectories is a ubiquitous phenomenon in open dynamical systems and stochastic processes. If escape occurs repetitively for a statistical ensemble of trajectories, the population of remaining trajectories often undergoes an exponential decay characterised by the so-called escape rate. Its inverse defines the lifetime of the decaying state, which represents an intrinsic property of the system. This paradigm is fundamental to nucleation theory and reaction-rate theory in chemistry, physics, and biology.<p><p>In many circumstances, escape is activated by the presence of noise, whi

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47

Tambellini, Leonardo [UNESP]. "Sistemas dinâmicos finitos: Paciência Búlgara (Shift em partições e composições cíclicas)." Universidade Estadual Paulista (UNESP), 2013. http://hdl.handle.net/11449/94253.

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Made available in DSpace on 2014-06-11T19:26:56Z (GMT). No. of bitstreams: 0 Previous issue date: 2013-06-26Bitstream added on 2014-06-13T20:08:05Z : No. of bitstreams: 1 tambellini_l_me_sjrp.pdf: 1124234 bytes, checksum: 8cc4df0d667724def74ec4f0b65c3020 (MD5)<br>Neste trabalho abordamos um tema introdutório na interseção de duas áreas da Matemáticas, Sistemas Dinâmicos e Teoria dos Números. Através de um jogo aparentemente ingênuo, a Paciência Búlgara, estudamos dinâmicas em conjuntos finitos. Devidoà finitude do domínio, todos os pontos do sistema convergem para uma órbita periódica, mas i

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48

Almeida, Junior Allan Kardec de [UNESP]. "Controle de dissociação molecular com ferramentas de dinâmica não linear." Universidade Estadual Paulista (UNESP), 2013. http://hdl.handle.net/11449/113980.

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Made available in DSpace on 2015-01-26T13:21:26Z (GMT). No. of bitstreams: 0 Previous issue date: 2013Bitstream added on 2015-01-26T13:30:28Z : No. of bitstreams: 1 000803664.pdf: 3533882 bytes, checksum: 8bc4ff2457dbbcfb1fa75fea2c7c1038 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O objetivo principal deste trabalho é utilizar a teoria de dinâmica não linear no controle da dissociação molecular através da introdução da dissipação em um modelo já bem conhecido na literatura, que consiste em um potencial de interação interatômico e uma perturbação na forma d

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49

Boscolo, Ana Laura. "O pêndulo duplo caótico : resultados experimentais e simulações numéricas /." Rio Claro, 2018. http://hdl.handle.net/11449/153617.

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Orientador: Luiz Antonio Barreiro<br>Banca: Edson Denis Leonel<br>Banca: Emanuel Fernandes de Lima<br>Resumo: Esta dissertação teve por objetivo abordar os principais assuntos referentes a dinâmica não-linear de um pêndulo duplo, como estudo das trajetórias no espaço de fase obtidas para condições iniciais periódicas (modos normais do pêndulo duplo) e para condições iniciais que impliquem em trajetórias caóticas, estudo dos expoentes de Lyapunov e seções de Poincaré do sistema. Para esta análise utilizou-se de simulações numéricas realizadas no software Mathematica bem como estudo a partir de

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Almeida, Junior Allan Kardec de. "Controle de dissociação molecular com ferramentas de dinâmica não linear /." Rio Claro, 2014. http://hdl.handle.net/11449/113980.

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Orientador: Ricardo Egydio de Carvalho<br>Banca: Emanuel Fernandes de Lima<br>Banca: Leonardo Kleber Castelano<br>Resumo: O objetivo principal deste trabalho é utilizar a teoria de dinâmica não linear no controle da dissociação molecular através da introdução da dissipação em um modelo já bem conhecido na literatura, que consiste em um potencial de interação interatômico e uma perturbação na forma de interação dipolo - campo elétrico. Tal campo elétrico pode ser proveniente dos fótons, pois a incidência de fótons já mostrou ser uma ferramenta efetiva na dissociação molecular. Primeiramente, o

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