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Dissertations / Theses on the topic 'Bifurcations'

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Published: 4 June 2021
Last updated: 26 July 2025

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1

Glendinning, P. A. "Homoclinic bifurcations." Thesis, University of Cambridge, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355879.

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2

Drysdale, David. "Homoclinic bifurcations." Thesis, University of Oxford, 1994. http://ora.ox.ac.uk/objects/uuid:b21e4a5c-7e10-4abc-8727-07b894ad6f15.

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Previously obtained results from the study of homoclinic bifurcations in ordinary differential equations are presented. The standard technique of analysis involves the construction of a Poincaré map on a surface near to the homoclinic point. This map is the composition of an inside map, with behaviour linearized about the homoclinic point, together with an outside map, with behaviour linearized about the homoclinic orbit. The Poincaré map is then reduced to a one-dimensional map, involving the return time between successive visits to the Poincaré surface. These standard techniques in the conte
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3

Bertoldi, Walter. "River Bifurcations." Doctoral thesis, Università degli studi di Trento, 2004. https://hdl.handle.net/11572/368908.

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Bifurcation is one of the fundamental building blocks of a braided network; it is the process that determines the distribution of flow and sediments along the downstream branches. Braiding is a complex and highly dynamical system, whose evolution is at present predictable only on a short time scale; in this context bifurcations are the crucial process that control the adjustment of braiding intensity, being one of the main causes of the system continuous evolution. A complete description of river bifurcations is still lacking in the literature, though their importance for the onset of braiding
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4

Bertoldi, Walter. "River Bifurcations." Doctoral thesis, University of Trento, 2004. http://eprints-phd.biblio.unitn.it/615/1/Walter_Bertoldi.pdf.

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Bifurcation is one of the fundamental building blocks of a braided network; it is the process that determines the distribution of flow and sediments along the downstream branches. Braiding is a complex and highly dynamical system, whose evolution is at present predictable only on a short time scale; in this context bifurcations are the crucial process that control the adjustment of braiding intensity, being one of the main causes of the system continuous evolution. A complete description of river bifurcations is still lacking in the literature, though their importance for the onset of braiding
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5

Vyazmina, Elena. "Bifurcations d'un écoulement tournant." Phd thesis, Ecole Polytechnique X, 2010. http://tel.archives-ouvertes.fr/tel-00538944.

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Cette thèse presente une étude numérique et analytique de la stabilité d'un écoulement incompressible de type jet tournant. L'entraînement du fluide externe par le jet est modélisé numériquement par l'hypothèse de frontières latérales et de sortie ouvertes, les conditions d'entrée correspondant à un profile de Grabowski. L'effet d'une faible viscosité dans le voisinage du nombre de swirl critique est étudié via une analyse asymptotique couplée à des simulations numériques axisymétriques. Un algorithme de continuation basé sur une méthode de projection récursive (RPM) a été implémenté pour capt
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6

Rangavajhula, Krishna C. "Nonstationary oscillations through bifurcations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq23875.pdf.

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7

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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8

Sigrist, Rachel. "Bifurcations with spherical symmetry." Thesis, University of Nottingham, 2010. http://eprints.nottingham.ac.uk/11170/.

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Bifurcations from spherically symmetric states can occur in many physical and biological systems. These include the development of a spherical ball of cells into an asymmetrical state and the buckling of a sphere under pressure. They also occur in the evolution of reaction–diffusion systems on a spherical surface and in Rayleigh–Benard convection in a spherical shell. Many of the behaviours of these systems can be explained by their underlying spherical symmetry alone. Using results from the area of mathematics known as equivariant bifurcation theory we can use group theoretical methods both t
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9

Moreau-Gaudry, Alexandre. "Modélisation géométrique de bifurcations." Phd thesis, Université Joseph Fourier (Grenoble), 2000. http://tel.archives-ouvertes.fr/tel-00006751.

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Les objets bifurcation, du fait de leurs topologies non homotopiques aux classiques surfaces sphériques, cylindriques ou toriques, sont des entités difficilement paramétrables de façon naturelle. Relevant du domaine de la modélisation et de l'imagerie, ce travail de thèse présente, dans un premier temps, de possibles paramétrages planaires univoques de cette entité, dont un particulier, d'inspiration physique, a permis la génération d'une surface C1 de topologie compatible: bâtie comme une enveloppe de superquadriques reposant sur un squelette déformable, elle est entièrement définie par la do
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10

Strub, Dayal Christopher. "Bifurcations of transition states." Thesis, University of Warwick, 2015. http://wrap.warwick.ac.uk/71100/.

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A transition state for a Hamiltonian system is a closed, invariant, oriented, codimension-2 submanifold of an energy-level that can be spanned by two compact codimension-1 surfaces of unidirectional flux whose union, called a dividing surface, locally separates the energy-level into two components and has no local recrossings. For this to happen robustly to all smooth perturbations, the transition state must be normally hyperbolic. The dividing surface then has locally minimal geometric flux through it, giving a useful upper bound on the rate of transport in either direction. Transition states
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11

Belhaq, Mohamed. "Approches asymptotique et numerique pour des bifurcations de poincare et des bifurcations homocliniques." Toulouse 3, 1988. http://www.theses.fr/1988TOU30071.

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La modelisation des problemes d'excitation exterieure ou parametrique en mecanique conduit a l'etude d'une classe de systemes differentiels a coefficients periodiques (equation de van der pol ou de lienard forcee). Les problemes de synchronisation conduisent a l'etude des bifurcations de poincare degenerees pour les cas resonants. On construit des algorithmes numeriques pour la recherche des solutions sous-harmoniques et de leurs lieux de bifurcation dans l'espace des parametres phenomenologiques
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12

Belhaq, Mohamed. "Approche asymptotique et numérique pour des bifurcations de Poincaré et des bifurcations homocliniques." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb37611702f.

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13

Wagenknecht, Thomas. "Homoclinic bifurcations in reversible systems." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=974857009.

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14

Feudel, Fred, Norbert Seehafer, and Olaf Schmidtmann. "Fluid helicity and dynamo bifurcations." Universität Potsdam, 1995. http://opus.kobv.de/ubp/volltexte/2007/1388/.

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The bifurcation behaviour of the 3D magnetohydrodynamic equations has been studied for external forcings of varying degree of helicity. With increasing strength of the forcing a primary non-magnetic steady state loses stability to a magnetic periodic state if the helicity exceeds a threshold value and to different non-magnetic states otherwise.
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15

Jukes, Alice Claire. "On homoclinic bifurcations with symmetry." Thesis, Imperial College London, 2007. http://hdl.handle.net/10044/1/1265.

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This thesis deals with the description of solutions of symmetric dynamical systems that lie in the neighbourhood of a homoclinic or heteroclinic cycle. Homoclinic and heteroclinic cycles are the main mechanism by which complicated behaviour is known to arise in dynamical systems. A starting point for studying the consequences of the existence of homoclinic and heteroclinic cycles is to focus on non-wandering dynamics, that is, solutions that remain in the neighbourhood of such cycles, both in the phase space and in parameter space. For general vector fields, such studies have been carried out
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16

Johnson, M. E. "Bifurcations in lattice dynamical systems." Thesis, University of Cambridge, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.605623.

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In this thesis I consider bifurcations in lattice dynamical systems, primarily coupled map lattices and lattice differential equations. First I explain how certain coupled map lattices can be considered as cellular automata, on all or part of each of state- or parameter-space, and outline what can be gained from such a consideration. Then I consider bifurcations of fixed points in locally bistable coupled map lattices, introducing various analytical techniques for the study of piecewise-linear lattice dynamical systems, and showing how numerical techniques allow smooth systems to be investigat
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17

Wright, Jennifer Edith. "Compound bifurcations in delamination buckling." Thesis, University of Bath, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432375.

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18

Silva, Dias Ana Paula da. "Bifurcations with wreath product symmetry." Thesis, University of Warwick, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302657.

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19

Li, Dongchen. "Heterodimensional cycles near homoclinic bifurcations." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/42543.

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In this thesis we study bifurcations of a pair of homoclinic loops to a saddle-focus equilibrium (with a one-dimensional unstable manifold) in flows with dimension four or higher. Particularly, we show that heterodimensional cycles can be born from such bifurcations. A heterodimensional cycle consists of two saddle periodic orbits having different indices (dimensions of unstable manifolds), and two heteroclinic connections between those orbits. We find heterodimensional cycles for the flow as the suspension of heterodimensional cycles for a Poincaré map around the homoclinic loops. Especially
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20

Fauvet, Frédéric. "Etude résurgente de quelques bifurcations." Université Louis Pasteur (Strasbourg) (1971-2008), 1992. http://www.theses.fr/1992STR13043.

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21

Peters, Martin Heinrich. "Classification of two-parameter bifurcations." Thesis, University of Warwick, 1991. http://wrap.warwick.ac.uk/108587/.

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This thesis contains the classification of two-parameter bifurcations up to codimension three, using a two-parameter version of parametrised contact equivalence. Part one contains the classification up to codimension one. The result consists of the following components: 1. A list of normal forms for the germs having codimension less or equal to one. 2. Recognition conditions for each normal form in the list, i. e. conditions that characterise the equivalence class of the normal form. These conditions are equations and inequalities for the Taylor coefficients of the germs. 3. Universal unfoldin
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22

Chen, Jian. "Bifurcations, Normal Forms and their Applications." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7121.

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The first part is a study of an ecological model with one herbivore and $N$ plants. The system has a new type of functional response due to the speculation that the plants compete with each other and have different levels of toxin which inhibit the herbivore's ability to eat up to a certain amount. We first derive the model mathematically and then investigate, both analytically and numerically, the possible dynamics for this model, including the bifurcation and chaos. We also discuss the conditions under which all the species can coexist. The second part is a study in the normal form the
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23

Vivi, Paola. "The equivariant degree, symmetries and bifurcations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq23085.pdf.

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24

Young, Todd Ray. "Saddle-node bifurcations with homoclinic orbits." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/29855.

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25

Lee, Clare M. "Tangency bifurcations of global Poincare maps." Thesis, University of Bristol, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.508099.

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26

Kobine, James Jonathan. "Bifurcations and symmetries in viscous flow." Thesis, University of Oxford, 1992. http://ora.ox.ac.uk/objects/uuid:1a1a45bb-0d5a-4553-a93d-b0fa6814fc56.

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The results of an experimental study of phenomena which occur in the flow of a viscous fluid in closed domains with discrete symmetries are presented. The purpose is to investigate the role which ideas from low-dimensional dynamical systems have to play in describing qualitative changes that take place with variation of the governing parameters. Such a descriptive framework already exists for the case of the Taylor-Couette system, where the domain possesses a continuous azimuthal symmetry group. The present investigation is aimed at establishing the typicality of previously reported behaviour
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27

Youd, Anthony John. "Bifurcations in forced Taylor-Couette flow." Thesis, University of Newcastle Upon Tyne, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.420066.

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28

Athorne, Alexander. "Bifurcations of set-valued dynamical systems." Thesis, Imperial College London, 2017. http://hdl.handle.net/10044/1/62323.

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We study families of set-valued dynamical systems and show how minimal invariant sets depend on parameters. We give a variant on the definition of attractor repeller pairs and obtain a different version of the Conley decomposition theorem. Under mild conditions on these systems we show that minimal invariant sets are related to a variation on the definition of chain components we call orbitally connected sets. We show for such systems that bifurcations can occur as a result of two orbitally connected sets colliding.
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29

Hachich, Mohamed. "Conditions de bifurcations dans les solides." Paris 6, 1994. http://www.theses.fr/1994PA066829.

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Ce travail a pour objet l'examen des phenomenes de bifurcation dans les materiaux solides, en particulier la description de la localisation de la deformation. Les lois de comportements utilisees sont aussi bien locales que non locales. On montre par transformation de fourier sur r#3 des equations d'equilibre, que la condition de bifurcation dans un massif infini est la perte d'ellipticite des equations d'equilibre. Pour un massif semi infini, par transformation de fourier dans les deux directions paralleles a la frontiere on donne la condition de bifurcation dans le domaine elliptique des equa
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30

Simpson, David J. W. "Bifurcations in piecewise-smooth, continuous systems." Connect to online resource, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3337155.

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31

Armen, Michael A. Mabuchi Hideo Mabuchi Hideo. "Bifurcations in single atom cavity QED /." Diss., Pasadena, Calif. : California Institute of Technology, 2009. http://resolver.caltech.edu/CaltechETD:etd-05262009-100436.

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32

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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33

Fitch, Osa E. "The control of bifurcations with engineering applications." Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1997. http://handle.dtic.mil/100.2/ADA342287.

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Dissertation (Ph.D. in Aeronautics and Astronautics) Naval Postgraduate School, September 1997.<br>"September 1997." Dissertation supervisor(s): Wei Kang. Includes bibliographical references (p. 397-398). Also available online.
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34

Gentes, Mathieu. "Bifurcations d'ordre supérieur, cycles limites et intégrabilité." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2009. http://tel.archives-ouvertes.fr/tel-00437848.

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La recherche de cycles limites pour des sytèmes polynômiaux du plan est historiquement motivée par le 16e problème de Hilbert. Les résultats obtenus dans cette thèse concernent des systèmes différentiels quadratiques intégrables perturbés pour lesquels on met en oeuvre une adaptation d'un algorithme théorique proposé par Jean-Pierre Françoise permettant le calcul des dérivées successives de l'application de premier retour, encore appelées fonctions de Melnikov. Le premier exemple étudié est de type Liénard et présente un centre en l'origine. Le calcul par deux méthodes différentes de la premiè
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35

Zienicke, Egbert, Norbert Seehafer, and Fred Feudel. "Bifurcations in two-dimensional Rayleigh-Bénard convection." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2007/1453/.

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Two-dimensional bouyancy-driven convection in a horizontal fluid layer with stress-free boundary conditions at top and bottom and periodic boundary conditions in the horizontal direction is investigated by means of numerical simulation and bifurcation-analysis techniques. As the bouyancy forces increase, the primary stationary and symmetric convection rolls undergo successive Hopf bifurcations, bifurcations to traveling waves, and phase lockings. We pay attention to symmetry breaking and its connection with the generation of large-scale horizontal flows. Calculations of Lyapunov exponents indi
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36

Ramakrishnan, Subramanian. "Bifurcations and chaos in the Froude pendulum." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0015/MQ49682.pdf.

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37

Hines, Andrew Peter. "Entanglement, dynamical bifurcations and quantum phase transitions /." [St. Lucia, Qld.], 2005. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19792.pdf.

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38

Gaudreault, Mathieu. "Bifurcations in stochastic equations with delayed feedback." Thesis, McGill University, 2011. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=104484.

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The bifurcation diagram of a model stochastic differential equation with delayed feedback is presented. We are motivated by recent research on stochastic effects in models of transcriptional gene regulation. We start from the normal form for a pitchfork bifurcation, and add multiplicative or parametric noise and linear delayed feedback. The latter is sufficient to originate a Hopf bifurcation in that region of parameters in which there is a sufficiently strong negative feedback. We find a sharp bifurcation in parameter space, and define the threshold as the point in which the stationary distri
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39

Cartwright, Julyan H. E. "Chaos in dissipative systems : bifurcations and basins." Thesis, Queen Mary, University of London, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.313920.

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40

Alsaleh, Dana. "Bifurcations in a model of Per1 neurons." Thesis, University of Manchester, 2017. https://www.research.manchester.ac.uk/portal/en/theses/bifurcations-in-a-model-of-per1-neurons(0d004fab-c795-4afe-8dc7-6a807e946e2b).html.

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Circadian rhythms refer to the physiological and biological processes that fluctuate over a 24-hour period. These rhythms are found in most living things such as animals, plants and fungi. In mammals, circadian rhythms are mainly generated and regulated by the suprachiasmatic nucleus (SCN).The period (Per1) gene in the SCN plays a key role in directing circadian rhythms. Per1 expression increases during the day and decreases at night. The neurons which express the Per1 gene show different behaviours to non-Per1 neurons during the day-night cycle. Per1 neurons are in a state of repetitive firin
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41

Tse, Dawn Po-Ling. "Spatial period-multiplying bifurcations in pattern formation." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616060.

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42

Salhi, Adel. "Visual and numerical methods for unfolding bifurcations." Thesis, University of Manchester, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.517841.

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43

Tazi, Myriem. "Modélisations d'écoulements sanguins au passage de bifurcations." Toulouse, INPT, 1991. http://www.theses.fr/1991INPT056H.

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Les singularites du systeme vasculaire telles que les bifurcations, constituent des sites privilegies tant en microcirculation pour la repartition du flux sanguin qu'en macrocirculation pour la genese du phenomene d'atherosclerose. Il est donc necessaire d'etudier la structure de l'ecoulement du sang au passage de ces bifurcations et en particulier, d'analyser l'influence des facteurs hemodynamiques et geometriques sur la deformation des champs de vitesse et de pression. Un modele numerique aux elements finis est mis en uvre afin de determiner le champ hydrodynamique, en regime permanent, dans
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44

PEROUEME, M. CHRISTINE. "Bifurcations d'orbites homoclines dans les systemes reversibles." Nice, 1992. http://www.theses.fr/1992NICE4548.

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On etudie, a travers deux problemes, comment differents resultats sur les bifurcations d'orbites homoclines sont modifiees en presence de reversibilite. Le premier probleme concerne le dedoublement d'une orbite homocline a un point fixe hyperbolique. On montre que, dans un systeme reversible, une orbite homocline symetrique ne peut se dedoubler. En revanche, si l'orbite n'est pas symetrique, il existe une seconde solution qui s'en deduit par symetrie. On peut montrer que pres d'une telle situation, une solution homocline va venir retablir la symetrie en visitant un voisinage de chacune des orb
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45

Roguiez, Xavier. "Comportement, instabilités et bifurcations des matériaux granulaires." Grenoble INPG, 2002. http://www.theses.fr/2002INPG0060.

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46

Wong, Chi Hong. "Border collision bifurcations in piecewise smooth systems." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/border-collision-bifurcations-in-piecewise-smooth-systems(1f2b9467-2c95-471b-82af-993b99d858ab).html.

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Piecewise smooth maps appear as models of various physical, economical and other systems. In such maps bifurcations can occur when a fixed point or periodic orbit crosses or collides with the border between two regions of smooth behaviour as a system parameter is varied. These bifurcations have little analogue in standard bifurcation theory for smooth maps and are often more complex. They are now known as "border collision bifurcations". The classification of border collision bifurcations is only available for one-dimensional maps. For two and higher dimensional piecewise smooth maps the study
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47

Oral, Zeki Okan. "Hopf bifurcations in path control of marine vehicles." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1993. http://handle.dtic.mil/100.2/ADA268818.

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48

Yu, Xiaohong. "Hemodynamic analysis of blood flows in carotid bifurcations." Click to view the E-thesis via HKUTO, 2007. http://sunzi.lib.hku.hk/hkuto/record/B3864700X.

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49

Provatas, Nikolas. "Kinetic roughening and bifurcations in reaction-diffusion systems." Thesis, McGill University, 1994. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=28886.

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We study the dynamics of two reaction-diffusion phenomena driven by chemical activation and thermal dissipation and evolving, respectively, on a randomly distributed or continuous medium. The first system describes the process of slow combustion of a randomly distributed reactant. It is studied by a phase-field model built up from first principles and describes the evolution of thermal and reactant concentration fields. Our combustion model incorporates thermal diffusion, activation and dissipation. We examine it in a manner which makes a connection between the propagation of combustion fronts
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50

Lovegrove, Alistair. "Bifurcations and istabilities in rotating two-layer fluids." Thesis, University of Oxford, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.390486.

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