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Dissertations / Theses on the topic 'Hopf’s bifurcation'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Коломієць, Світлана Володимирівна, Светлана Владимировна Коломиец та Svitlana Volodymyrivna Kolomiiets. "Дослідження біфуркації в напівкласичних моделях твердотільних лазерів". Thesis, Київський національний університет ім. Тараса Шевченка, 2003. http://essuir.sumdu.edu.ua/handle/123456789/62581.

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Динаміка напівкласичної моделі твердотільного лазера вивчається методом біфуркації ініціації циклу та отримані критерії стійкості граничних циклів, що відбуваються внаслідок біфуркації Хопфа, інтервали стійкості для параметр накачки, коли стаціонарний розчин розглядається як додатковий параметр. Метод Джозефа використовується для інтеграції системи чотирьох диференціальних рівнянь, які асимптотично описують динаміку лазерної моделі. За допомогою скорочення чотиривимірні завдання до двовимірного, ми знаходимо періодичне рішення системи диференціальних рівнянь.

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2

Fujihira, Takeo. "Hamiltonian Hopf bifurcation with symmetry." Thesis, Imperial College London, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444087.

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3

Salih, Rizgar Haji. "Hopf bifurcation and centre bifurcation in three dimensional Lotka-Volterra systems." Thesis, University of Plymouth, 2015. http://hdl.handle.net/10026.1/3504.

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This thesis presents a study of the centre bifurcation and chaotic behaviour of three dimensional Lotka-Volterra systems. In two dimensional systems, Christopher (2005) considered a simple computational approach to estimate the cyclicity bifurcating from the centre. We generalized the technique to estimate the cyclicity of the centre in three dimensional systems. A lower bounds is given for the cyclicity of a hopf point in the three dimensional Lotka-Volterra systems via centre bifurcations. Sufficient conditions for the existence of a centre are obtained via the Darboux method using inverse J

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4

Harlim, John. "Codimension three Hopf and cusp bifurcation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/MQ58343.pdf.

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5

Arakawa, Vinicius Augusto Takahashi. "Um estudo de bifurcações de codimensão dois de campos de vetores /." São José do Rio Preto : [s.n.], 2008. http://hdl.handle.net/11449/94243.

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Orientador: Claudio Aguinaldo Buzzi<br>Banca: João Carlos da Rocha Medrado<br>Banca: Luciana de Fátima Martins<br>Resumo: Nesse trabalho são apresentados alguns resultados importantes sobre bifurcações de codimensão dois de campos de vetores. O resultado principal dessa dissertação e o teorema que d a o diagrama de bifurcação e os retratos de fase da Bifurcação de Bogdanov-Takens. Para a demonstracão são usadas algumas técnicas basicas de Sistemas Dinâmicos e Teoria das Singularidades, tais como Integrais Abelianas, desdobramentos de Sistemas Hamiltonianos, desdobramentos versais, Teorema de P

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6

Arakawa, Vinicius Augusto Takahashi [UNESP]. "Um estudo de bifurcações de codimensão dois de campos de vetores." Universidade Estadual Paulista (UNESP), 2008. http://hdl.handle.net/11449/94243.

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Made available in DSpace on 2014-06-11T19:26:56Z (GMT). No. of bitstreams: 0 Previous issue date: 2008-02-29Bitstream added on 2014-06-13T20:55:43Z : No. of bitstreams: 1 arakawa_vat_me_sjrp.pdf: 795168 bytes, checksum: 1ce40af6d71942f94c4c2bb678ce986f (MD5)<br>Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)<br>Nesse trabalho são apresentados alguns resultados importantes sobre bifurcações de codimensão dois de campos de vetores. O resultado principal dessa dissertação e o teorema que d a o diagrama de bifurcação e os retratos de fase da Bifurcação de Bogdanov-Takens. Para a de

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7

Pacha, Andújar Juan Ramón. "On the quasiperiodic hamiltonian andronov-hopf bifurcation." Doctoral thesis, Universitat Politècnica de Catalunya, 2002. http://hdl.handle.net/10803/5830.

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Aquest treball es situa dintre del marc dels sistemes dinàmics hamiltonians de tres graus de llibertat. Allà considerem famílies d'òrbites periòdiques amb una transició estable-complex inestable: sigui L el paràmetre que descriu la família i suposarem que per a valors del paràmetre més petits que un cert valor crític, L', els multiplicadors característics de les òrbites periòdiques corresponents hi són sobre el cercle unitat, quan L=L' aquests col·lisionen per parelles conjugades (òrbita ressonant o crítica) i per L > L', abandonen el cercle unitat cap al pla complex (col·lisió de Krein amb s

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8

Lee, Yoon-Mee. "Hopf Bifurcation in a Parabolic Free Boundary Problem." DigitalCommons@USU, 1992. https://digitalcommons.usu.edu/etd/7138.

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We deal with a free boundary problem for a nonlinear parabolic equation, which includes a parameter in the free boundary condition. This type of system has been used in models of ecological systems, in chemical reactor theory and other kinds of propagation phenomena involving reactions and diffusion. The main purpose of this dissertation is to show the global existence, uniqueness of solutions and that a Hopf bifurcation occurs at a critical value of the parameter r. The existence and uniqueness of the solution for this problem are shown by finding an equivalent regular free boundary problem t

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9

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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10

Bateman, Craig A. "Hopf bifurcation analysis for depth control of submersible vehicles." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1993. http://handle.dtic.mil/100.2/ADA276213.

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11

Dupuis, Étienne. "De l'existence d'hypertores près d'une bifurcation de Hopf-Hopf avec résonance 1:2." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/MQ57112.pdf.

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12

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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13

Wulf, Volker. "Numerical analysis of delay differential equations undergoing a Hopf bifurcation." Thesis, University of Liverpool, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.367052.

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14

Zhang, Yanyan. "Periodic Forcing of a System near a Hopf Bifurcation Point." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1291174795.

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15

Lewis, Gregory M. "Double Hopf bifurcations in two geophysical fluid dynamics models." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ48653.pdf.

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16

Alolyan, Ibraheem. "Global minimization of Hopf bifurcation surfaces with application to nematic electroconvection." Access citation, abstract and download form; downloadable file 7.34 Mb, 2004. http://wwwlib.umi.com/dissertations/fullcit/3131651.

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17

Haaf, Hermann. "Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics." Thesis, University of Warwick, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.387347.

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18

Jones, Steven R. "Hopf Bifurcations and Horseshoes Especially Applied to the Brusselator." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd825.pdf.

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19

Lepine, Francoise. "Pitchfork and Hopf bifurcation threshold in stochastic equations with delayed feedback." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=32364.

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The bifurcation diagram of a model nonlinear Langevin equation with delay is obtained. A finite delay implies non-Markovian behavior, and is the subject of current interest as such equations model delayed feedback loops in many settings, including the study of cell regulation. We show that the bifurcation remains sharp, both in the ranges of direct and oscillatory instabilities. Below threshold, the stationary distribution function is a delta function at the trivial state x = 0 despite the delay. At thres

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20

Gaivão, José Pedro. "Exponentially small splitting of invariant manifolds near a Hamiltonian-Hopf bifurcation." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/4534/.

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Consider an analytic two-degrees of freedom Hamiltonian system with an equilibrium point that undergoes a Hamiltonian-Hopf bifurcation, i.e., the eigenvalues of the linearized system at the equilibrium change from complex ±β ±iα (α,β > 0) for ε > 0 to pure imaginary ±iω1 and ±iω2 (ω1 ≠ ω2 ≠ 0) for ε < 0. At ε = 0 the equilibrium has a pair of doubled pure imaginary eigenvalues. Depending on the sign of a certain coefficient of the normal form there are two main bifurcation scenarios. In one of these (the stable case), two dimensional stable and unstable manifolds of the equilibrium shrink and

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21

Truman, Jeffrey Victor. "Normal Forms for the Hopf Bifurcations in the Lorenz System." Thesis, The University of Arizona, 2010. http://hdl.handle.net/10150/146218.

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In this essay we compute the the twist number for the Hopf bifurcations in the Lorenz equation. This number is the ratio of the real and the imaginary part of the first coefficient of the normal form. Our purpose is to investigate the possibility of rank chaos for periodically kicked Lorenz system.

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22

Chifan, Iustina. "Hopf Bifurcation Analysis for a Variant of the Logistic Equation with Delays." Thesis, Université d'Ottawa / University of Ottawa, 2020. http://hdl.handle.net/10393/40504.

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This thesis contains some results on the behavior of a delay differential equation (DDE) with two delays, at a Hopf bifurcation, for the nonzero equilibrium, using the growth rate, r, as bifurcation parameter. This DDE is a model for population growth, incorporating a maturation delay, and a second delay in the harvesting term. Considering a Taylor expansion of the non-dimensionalized model, we find a region of stability for the nonzero equilibrium, after which we find a pair of ODEs which help define the flow on the center manifold. We then find an expression for the first Lypapunov coefficie

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23

Abouhamza, Ali. "Localisation des bifurcations de Hopf dans les problèmes de cavités entraînées." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0006/NQ43043.pdf.

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24

TRI, ABDELJALIL POTIER FERRY MICHEL. "METHODES ASYMPTOTIQUES NUMERIQUES POUR LES FLUIDES VISQUEUX INCOMPRESSIBLES ET LA BIFURCATION DE HOPF /." [S.l.] : [s.n.], 1996. ftp://ftp.scd.univ-metz.fr/pub/Theses/1996/Tri.Abdeljalil.SMZ9651.pdf.

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25

Turan, Mehmet. "New Classes Of Differential Equations And Bifurcation Of Discontinuous Cycles." Phd thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/3/12610747/index.pdf.

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In this thesis, we introduce two new classes of differential equations, which essentially extend, in several directions, impulsive differential equations and equations on time scales. Basics of the theory for quasilinear systems are discussed, and particular results are obtained so that further investigations of the theory are guaranteed. Applications of the newly-introduced systems are shown through a center manifold theorem, and further, Hopf bifurcation Theorem is proved for a three-dimensional discontinuous dynamical system.

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26

Sánchez, Casas José Pablo. "Numerical study of hopf bifurcations in the two-dimensional plane poiseuille flow." Doctoral thesis, Universitat Politècnica de Catalunya, 2002. http://hdl.handle.net/10803/5832.

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In this work we try to analyse the dynamics of the Navier-Stokes equations in a problem without domain complexities as is the case of the plane Poiseuille flow. The Poiseuille problem is described as the flow of a viscous incompressible fluid, in a channel between two infinite parallel plates. We have considered it in two dimensions for the most common boundary conditions used to drive the fluid: mean constant pressure gradient or constant flux through the channel. We also specify the relation between this two formulations.<br/><br/>We give the details of the direct numerical solution of the f

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27

Ross, David M. "Hopf bifurcations in ecological models : algebraic, geometric and numerical methods of analysis." Thesis, University of Stirling, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.275981.

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28

Langlois, Mélanie. "Étude de bifurcation de Hopf-Hopf avec résonance 1:2 pour un système de deux neurones couplés avec délais." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/MQ57127.pdf.

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29

Chan, David. "A normal form approach to non-resonant and resonant Hopf bifurcation from relative equilibria." Thesis, University of Surrey, 2006. http://epubs.surrey.ac.uk/843715/.

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The main aim of this thesis has been to investigate the distinction between a nonresonant and resonant Hopf bifurcation from relative equilibria. Resonant and nonresonant Hopf bifurcations from relative equilibria posed in two spatial dimensions, in systems with Euclidean SE(2) symmetry, have been extensively studied in the context of spiral waves in a plane and are now well understood. We initially investigate Hopf bifurcations from relative equilibria posed in systems with compact S0(3) symmetry where S0(3) is the group of rotations in three dimensions/on a sphere. Unlike the SE(2) case the

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30

Sathaye, Archana S. "BIFDE: a numerical software package for the hopf bifurcation problem in functional differential equations." Thesis, Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/101145.

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A software package has been written to compute the Hopf bifurcation structure in functional differential equations. The package is modular, and consists of several routines which perform one or more tasks. In conjunction with the routines available in this package, the user is required to provide a few routines which describe the specific system under analysis. Three example systems (from epidemiology, biochemistry and aerospace engineering) have been analyzed to illustrate the use of this package.<br>M.S.

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31

BENSAADE, MY EL HASSAN POTIER-FERRY M. "METHODES ASYMPTOTIQUES-NUMERIQUES POUR LE CALCUL DE BIFURCATION DE HOPF ET DE SOLUTIONS PERIODIQUES /." [S.l.] : [s.n.], 1995. ftp://ftp.scd.univ-metz.fr/pub/Theses/1995/Ben_Saadi.Hassan.SMZ9547.pdf.

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32

Payne, Robert J. H. "Hopf bifurcations in biology : morphogenesis of the mesenchyme and pathogenesis of viral hepatitis." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358681.

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33

Garratt, T. J. "The numerical detection of Hopf bifurcations in large systems arising in fluid mechanics." Thesis, University of Bath, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.292839.

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34

Bramburger, Jason. "Steady State/Hopf Interactions in the Van Der Pol Oscillator with Delayed Feedback." Thèse, Université d'Ottawa / University of Ottawa, 2013. http://hdl.handle.net/10393/24325.

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In this thesis we consider the traditional Van der Pol Oscillator with a forcing dependent on a delay in feedback. The delay is taken to be a nonlinear function of both position and velocity which gives rise to many different types of bifurcations. In particular, we study the Zero-Hopf bifurcation that takes place at certain parameter values using methods of centre manifold reduction of DDEs and normal form theory. We present numerical simulations that have been accurately predicted by the phase portraits in the Zero-Hopf bifurcation to confirm our numerical results and provide a physical unde

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35

Ver, Hulst Henri. "Marrying the physics of critical oscillators with traveling-wave models of the cochlea." Electronic Thesis or Diss., Université Paris sciences et lettres, 2024. http://www.theses.fr/2024UPSLS048.

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Les propriétés mécaniques non linéaires de la cochlée ont été reconnues comme signatures d'un processus actif d’amplification par des oscillateurs “critiques”, c’est-à-dire opérant à un point d'instabilité oscillatoire—une bifurcation de Hopf. Dans ce cadre, chaque oscillateur est réglé à une fréquence qui dépend de la position dans la cochlée selon la tonotopie de cet organe auditif. Un oscillateur critique stimulé à sa fréquence caractéristique représente six ordres de grandeurs du stimulus en seulement deux ordres de grandeur de sa réponse, ce qui correspond à une loi de puissance d'exposan

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36

Tri, Abdeljalil. "Méthodes asymptotiques numériques pour les fluides visqueux incompressibles et la détection de la bifurcation de Hopf." Metz, 1996. http://docnum.univ-lorraine.fr/public/UPV-M/Theses/1996/Tri.Abdeljalil.SMZ9651.pdf.

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Les méthodes de perturbation sont depuis longtemps un moyen efficace de résoudre certaines classes de problèmes non-linéaires dans divers domaines scientifiques. Ces méthodes sont souvent appliquées dans un cadre purement analytique, en se limitant au calcul de quelques termes seulement. Depuis plusieurs années, nous nous attachons à montrer que le couplage d'une technique de perturbation et d'une méthode d'éléments finis peut conduire à des méthodes numériques extrêmement fiables et robustes pour certaines catégories de problèmes non-linéaires. Dans ce travail, nous appliquons ces techniques

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37

Ben, Saadi My El Hassan. "Méthodes asymptotiques-numériques pour le calcul de bifurcations de Hopf et de solutions périodiques." Metz, 1995. http://docnum.univ-lorraine.fr/public/UPV-M/Theses/1995/Ben_Saadi.Hassan.SMZ9547.pdf.

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Dans ce travail, nous avons présenté une étude sur les équations différentielles ordinaires admettant des solutions périodiques ou des points de bifurcations de Hopf. Pour cette étude, nous avons appliqué des techniques approximatives dans l'esprit des méthodes asymptotiques-numériques qui n'avaient été appliquées jusqu'à présent qu'en statique. Nous avons commencé notre test sur des équations différentielles conservatives ou dissipatives à un seul degré de liberté. Le domaine de validité d'une représentation en séries entières des solutions périodiques est toujours limité par le rayon de conv

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38

Caton, François. "Écoulement de Taylor-Couette stratifié : régimes, bifurcations et transport." Université Joseph Fourier (Grenoble ; 1971-2015), 1998. http://www.theses.fr/1998GRE10071.

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Cette these est consacree a l'etude experimentale et theorique de l'ecoulement de taylor-couette en presence d'une stratification axiale stable. Une analyse de stabilite lineaire predit le caractere oscillatoire du seuil d'instabilite. Les visualisations montrent que le premier regime instable est un regime d'ondes stationnaires axisymetriques. Un modele theorique base sur l'existence d'ondes internes confinees est en bon accord avec les mesures des fluctuations temporelles de densite dans ce regime. Le second regime est un regime de vortex non-axisymetriques dont la taille verticale est dimin

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Коломієць, Світлана Володимирівна, Светлана Владимировна Коломиец та Svitlana Volodymyrivna Kolomiiets. "Дослідження межі стійкості періодичних коливань у моделі лазера з безінерційним фільтром". Thesis, Національний технічний університет України «Київський політехнічний інститут ім. І. Сікорського, 2006. http://essuir.sumdu.edu.ua/handle/123456789/62735.

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Mondraǵon, Palomino Octavio. "A numerical study of the effects of multiplicative noise on a supercritical delay induced Hopf bifurcation in a gene expression model /." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=101627.

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In the context of gene expression, we proposed a nonlinear stochastic delay differential equation as a mathematical model to study the effects of extrinsic noise on a delay induced Hopf bifurcation. We envisaged its direct numerical resolution. Following the example of the noisy oscillator, we first solved a linearized version of the equation, close to the Hopf bifurcation. The numerical scheme used is a combination of a standard algorithm to solve a deterministic delay differential equation and a stochastic Euler scheme. From our calculations we verified that the deterministic behaviour is fu

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Smith, Todd Blanton. "Variational embedded solitons, and traveling wavetrains generated by generalized Hopf bifurcations, in some NLPDE systems." Doctoral diss., University of Central Florida, 2011. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5042.

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In this Ph.D. thesis, we study regular and embedded solitons and generalized and degenerate Hopf bifurcations. These two areas of work are seperate and independent from each other. First, variational methods are employed to generate families of both regular and embedded solitary wave solutions for a generalized Pochhammer PDE and a generalized microstructure PDE that are currently of great interest. The technique for obtaining the embedded solitons incorporates several recent generalizations of the usual variational technique and is thus topical in itself. One unusual feature of the solitary w

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42

Garcia, Ignacio de Mateo. "Iterative matrix-free computation of Hopf bifurcations as Neimark-Sacker points of fixed point iterations." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://dx.doi.org/10.18452/16478.

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Klassische Methoden für die direkte Berechnung von Hopf Punkten und andere Singularitaten basieren auf der Auswertung und Faktorisierung der Jakobimatrix. Dieses stellt ein Hindernis dar, wenn die Dimensionen des zugrundeliegenden Problems gross genug ist, was oft bei Partiellen Diferentialgleichungen der Fall ist. Die betrachteten Systeme haben die allgemeine Darstellung f ( x(t), α) für t grösser als 0, wobei x die Zustandsvariable, α ein beliebiger Parameter ist und f glatt in Bezug auf x und α ist. In der vorliegenden Arbeit wird ein Matrixfreies Schema entwicklet und untersucht, dass

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43

Wiser, Justin Allen. "Harmonic Resonance Dynamics of the Periodically Forced Hopf Oscillator." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1373380266.

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44

Barbosa, Pricila da Silva. "Bifurcação de Poincaré-Andronov-Hopf para difeomorfismos do plano." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-08062010-123725/.

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O objetivo principal deste trabalho é apresentar uma exposição detalhada do Teorema de Poincaré-Andronov-Hopf para uma família de transformações do plano. Apresentaremos também uma aplicação a um sistema dinâmico que modela a evolução do preço e excesso de demanda em um mercado constituído por uma única mercadoria.<br>The main purpose of this work is to present a detailed exposition of the Poincaré-Andronov-Hopf Theorem for a family of transformations in the plane. We also present an application to a dynamical system modelling the evolution of the price and the excess demand in a single asset

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45

Bekhoucha, Ferhat. "Dynamique non linéaire des poutres en composite en mouvement de rotation." Thesis, Lorient, 2015. http://www.theses.fr/2015LORIS389.

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Le travail présenté dans ce manuscrit est une contribution à l’étude des vibrations non-linéaires des poutres isotropes et en composite, en mouvement de rotation. Le modèle mathématique utilisé est basé sur la formulation intrinsèque et géométriquement exacte de Hodges, dédiée au traitement des poutres ayant des grands déplacements et de petites déformations. La résolution est faite dans le domaine fréquentiel suite à une discrétisation spatio-temporelle, en utilisant l’approximation de Galerkin et la méthode de l’équilibrage harmonique, avec des conditions aux limites correspondantes aux pout

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46

Hong, Christian I. "Mathematical Modeling of Circadian Rhythms in Drosophila melanogaster." Thesis, Virginia Tech, 1999. http://hdl.handle.net/10919/42168.

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Circadian rhythms are periodic physiological cycles that recur about every 24 hours, by means of which organisms integrate their physiology and behavior to the daily cycle of light and temperature imposed by the rotation of the earth. Circadian derives from the Latin word circa "about" and dies "day". Circadian rhythms have three noteworthy properties. They are endogenous, that is, they persist in the absence of external cues (in an environment of constant light intensity, temperature, etc.). Secondly, they are temperature compensated, that is, the nearly 24 hour period of the endogenous o

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47

Nadrowski, Björn. "Propriétés mécaniques de touffes ciliaires actives." Paris 7, 2004. http://www.theses.fr/2004PA077198.

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Carbone, Vera Lucia. "Existência e bifurcações de soluções periódicas da equação de Wright." Universidade de São Paulo, 1999. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-07022001-135507/.

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Este trabalho é concernente a periodicidade na equação de Wright. Provaremos a existência de soluções periódicas não constantes, explorando o conceito de ejetividade de um teorema de ponto fixo. Além disso, provamos a existência de uma seqüência infinita de Bifurcação de Hopf.<br>This work is concerned with periodicity in the Wright's equation. We prove the existence of nonconstant periodic solutions by exploiting the ejectivity concept in a theorem of fixed point. Furthemore, we prove the existence of an infinite sequence of Hopf Bifurcations.

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Slimani, Safia. "Système dynamique stochastique de certains modèles proies-prédateurs et applications." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMR123/document.

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Ce travail est consacré à l’étude de la dynamique d’un système proie-prédateur de type Leslie-Gower défini par un système d’équations différentielles ordinaires (EDO) ou d’équations différentielles stochastiques (EDS), ou par des systèmes couplés d’EDO ou d’EDS. L’objectif principal est de faire l’analyse mathématique et la simulation numérique des modèles construits. Cette thèse est divisée en deux parties : La première partie est consacrée à un système proie-prédateur où les proies utilisent un refuge, le modèle est donné par un système d’équations différentielles ordinaires ou d’équations d

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50

Boullu, Lois. "Étude d’équations à retard appliquées à la régulation de la production de plaquettes sanguines." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSE1239/document.

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L’objectif de cette thèse est d’étudier, à l’aide de modèles mathématiques, le mécanisme de régulation qui permet au corps de maintenir une quantité optimale de plaquettes sanguines. Le premier chapitre présente le contexte biologique et mathématique. Dans un second chapitre, un modèle pour la mégacaryopoïèse est introduit qui suppose une régulation ponctuelle par le nombre de plaquettes du taux de différentiation des cellules souches vers la lignée mégacaryocytaire et du nombre de plaquettes produites par mégacaryocyte. Nous montrons que la dynamique de ce modèle est régie par une équation di

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