Дисертації з теми "Nonlinear Dynamic Equations"
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Peters, James Edward II. "Group analysis of the nonlinear dynamic equations of elastic strings." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/29348.
Повний текст джерелаSotoudeh, Zahra. "Nonlinear static and dynamic analysis of beam structures using fully intrinsic equations." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41179.
Повний текст джерелаSee, Chong Wee Simon. "Numerical methods for the simulation of dynamic discontinuous systems." Thesis, University of Salford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358276.
Повний текст джерелаZigic, Jovan. "Optimization Methods for Dynamic Mode Decomposition of Nonlinear Partial Differential Equations." Thesis, Virginia Tech, 2021. http://hdl.handle.net/10919/103862.
Повний текст джерелаMaster of Science
The Navier-Stokes (NS) equations are the primary mathematical model for understanding the behavior of fluids. The existence and smoothness of the NS equations is considered to be one of the most important open problems in mathematics, and challenges in their numerical simulation is a barrier to understanding the physical phenomenon of turbulence. Due to the difficulty of studying this problem directly, simpler problems in the form of nonlinear partial differential equations (PDEs) that exhibit similar properties to the NS equations are studied as preliminary steps towards building a wider understanding of the field. Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations. Naturally, reduced-order modeling techniques come at the price of either computational accuracy or computation time. Optimization techniques are studied to improve either or both of these objectives and decrease the total computational cost of the problem. This thesis focuses on the dynamic mode decomposition (DMD) applied to nonlinear PDEs with periodic boundary conditions. It provides one study of an existing optimization framework for the DMD method known as the Optimized DMD and provides another study of a newly proposed optimization framework for the DMD method called the Split DMD.
Brown, Andrew M. "Design, construction and analysis of a chaotic vibratory system." Thesis, Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/18172.
Повний текст джерелаSOAVE, NICOLA. "Variational and geometric methods for nonlinear differential equations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2014. http://hdl.handle.net/10281/49889.
Повний текст джерелаQu, Zheng. "Nonlinear Perron-Frobenius theory and max-plus numerical methods for Hamilton-Jacobi equations." Palaiseau, Ecole polytechnique, 2013. http://pastel.archives-ouvertes.fr/docs/00/92/71/22/PDF/thesis.pdf.
Повний текст джерелаDynamic programming is one of the main approaches to solve optimal control problems. It reduces the latter problems to Hamilton-Jacobi partial differential equations (PDE). Several techniques have been proposed in the literature to solve these PDE. We mention, for example, finite difference schemes, the so-called discrete dynamic programming method or semi-Lagrangian method, or the antidiffusive schemes. All these methods are grid-based, i. E. , they require a discretization of the state space, and thus suffer from the so-called curse of dimensionality. The present thesis focuses on max-plus numerical solutions and convergence analysis for medium to high dimensional deterministic optimal control problems. We develop here max-plus based numerical algorithms for which we establish theoretical complexity estimates. The proof of these estimates is based on results of nonlinear Perron-Frobenius theory. In particular, we study the contraction properties of monotone or non-expansive nonlinear operators, with respect to several classical metrics on cones (Thompson's metric, Hilbert's projective metric), and obtain nonlinear or non-commutative generalizations of the "ergodicity coefficients" arising in the theory of Markov chains. These results have applications in consensus theory and also to the generalized Riccati equations arising in stochastic optimal control
Ferrara, Joseph. "A Study of Nonlinear Dynamics in Mathematical Biology." UNF Digital Commons, 2013. http://digitalcommons.unf.edu/etd/448.
Повний текст джерелаLarson, David F. H. "Modeling nonlinear stochastic ocean loads as diffusive stochastic differential equations to derive the dynamic responses of offshore wind turbines." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/105690.
Повний текст джерелаCataloged from PDF version of thesis.
Includes bibliographical references (page 54).
A procedure is developed for modeling stochastic ocean wave and wind loads as diffusive stochastic differential equations (SDE) in a state space form to derive the response statistics of offshore structures, specifically wind turbines. Often, severe wind and wave systems are highly nonlinear and thus treatment as linear systems is not applicable, leading to computationally expensive Monte Carlo simulations. Using Stratonovich-form diffusive stochastic differential equations, both linear and nonlinear components of the wind thrust can be modeled as 2 state SDE. These processes can be superposed with both the linear and nonlinear (inertial and viscous) wave forces, also modeled as a multi-dimensional state space SDE. Furthermore, upon implementing the ESPRIT algorithm to fit the autocorrelation function of any real sea state spectrum, a simple 2-state space model can be derived to completely describe the wave forces. The resulting compound state-space SDE model forms the input to a multi-dimension state-space Fokker-Planck equation, governing the dynamical response of the wind turbine structure. Its solution yields response, fatigue and failure statistics-information critical to the design of any offshore structure. The resulting Fokker-Planck equation can be solved using existing numerical schemes.
by David F.H. Larson.
S.B.
Challa, Subhash. "Nonlinear state estimation and filtering with applications to target tracking problems." Thesis, Queensland University of Technology, 1998.
Знайти повний текст джерелаPittayakanchit, Weerapat. "The Global Stability of the Solution to the Morse Potential in a Catastrophic Regime." Scholarship @ Claremont, 2016. http://scholarship.claremont.edu/hmc_theses/72.
Повний текст джерелаYip, Lai-pan. "Nonlinear and localized modes in hydrodynamics and vortex dynamics." Click to view the E-thesis via HKUTO, 2007. http://sunzi.lib.hku.hk/hkuto/record/B39316919.
Повний текст джерелаYip, Lai-pan, and 葉禮彬. "Nonlinear and localized modes in hydrodynamics and vortex dynamics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2007. http://hub.hku.hk/bib/B39316919.
Повний текст джерелаDeshmukh, Rohit. "Model Order Reduction of Incompressible Turbulent Flows." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1471618549.
Повний текст джерелаAlam, Md Shafiful. "Iterative Methods to Solve Systems of Nonlinear Algebraic Equations." TopSCHOLAR®, 2018. https://digitalcommons.wku.edu/theses/2305.
Повний текст джерелаTsang, Cheng-hou Alan, and 曾正豪. "Dynamics of waves and patterns of the complex Ginburg Landau and soliton management models: localized gain andeffects of inhomogeneity." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B46975433.
Повний текст джерелаKwek, Keng-Huat. "On Cahn-Hilliard type equation." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/28819.
Повний текст джерелаHays, Joseph T. "Parametric Optimal Design Of Uncertain Dynamical Systems." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/28850.
Повний текст джерелаPh. D.
Zhang, Jin. "Identification of nonlinear structural dynamical system." Diss., Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/12270.
Повний текст джерелаLazaryan, Shushan, Nika LAzaryan, and Nika Lazaryan. "Discrete Nonlinear Planar Systems and Applications to Biological Population Models." VCU Scholars Compass, 2015. http://scholarscompass.vcu.edu/etd/4025.
Повний текст джерелаCampbell, Fiona Mary. "The dynamics of soliton interaction." Thesis, University of Strathclyde, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.248325.
Повний текст джерелаMarrekchi, Hamadi. "Dynamic compensators for a nonlinear conservation law." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-05042006-164530/.
Повний текст джерелаLam, Chun-kit, and 林晉傑. "The dynamics of wave propagation in an inhomogeneous medium: the complex Ginzburg-Landau model." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B40887881.
Повний текст джерелаLam, Chun-kit. "The dynamics of wave propagation in an inhomogeneous medium the complex Ginzburg-Landau model /." Click to view the E-thesis via HKUTO, 2008. http://sunzi.lib.hku.hk/hkuto/record/B40887881.
Повний текст джерелаOsman, Frederick. "Nonlinear paraxial equation at laser plasma interaction /." [Campbelltown, N.S.W. : The author], 1998. http://library.uws.edu.au/adt-NUWS/public/adt-NUWS20030707.114012/index.html.
Повний текст джерелаLeiva, Hugo. "Skew-product semiflows and time-dependent dynamical systems." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/29912.
Повний текст джерелаHandel, Andreas. "Limits of Localized Control in Extended Nonlinear Systems." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5025.
Повний текст джерелаQiao, Zhonghua. "Numerical solution for nonlinear Poisson-Boltzmann equations and numerical simulations for spike dynamics." HKBU Institutional Repository, 2006. http://repository.hkbu.edu.hk/etd_ra/727.
Повний текст джерелаHonda, Ethan Philip. "Resonant dynamics within the nonlinear Klein-Gordon equation : Much ado about oscillons /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p9992817.
Повний текст джерелаFarnum, Edward D. "Stability and dynamics of solitary waves in nonlinear optical materials /." Thesis, Connect to this title online; UW restricted, 2005. http://hdl.handle.net/1773/6766.
Повний текст джерелаBaturin, Nickolay G. "Dynamics and effects of the tropical instability waves /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1997. http://wwwlib.umi.com/cr/ucsd/fullcit?p9737308.
Повний текст джерелаLindgren, Joseph B. "Orbital Stability Results for Soliton Solutions to Nonlinear Schrödinger Equations with External Potentials." UKnowledge, 2017. http://uknowledge.uky.edu/math_etds/46.
Повний текст джерелаMeissen, Emily Philomena, and Emily Philomena Meissen. "Invading a Structured Population: A Bifurcation Approach." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/625610.
Повний текст джерелаOsman, Frederick. "Nonlinear paraxial equation at laser plasma interaction." Thesis, [Campbelltown, N.S.W. : The author], 1998. http://handle.uws.edu.au:8081/1959.7/280.
Повний текст джерелаJendrej, Jacek. "On the dynamics of energy-critical focusing wave equations." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX029/document.
Повний текст джерелаIn this thesis we study the global behavior of solutions of the energy-criticalfocusing nonlinear wave equation, with a special emphasis on the description of the dynamics in the energy space. We develop a new approach, based on the energy method, to constructing unstable type II blow-up solutions. Next, we give the first example of a radial two-bubble solution of the energy-critical wave equation. By implementing this construction in the case of the equivariant wave map equation, we obtain bubble-antibubble solutions in equivariance classes k > 2. We also study the relationship between the speed of a type II blow-up and the weak limit of the solution at the blow-up time. Finally, we prove that there are no pure radial two-bubbles with opposite signs for the energy-critical wave equation
Kim, Tae Eun. "Quasi-solution Approach to Nonlinear Integro-differential Equations: Applications to 2-D Vortex Patch Problems." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1499793039477532.
Повний текст джерелаColinet, Pierre. "Amplitude equations and nonlinear dynamics of surface-tension and buoyancy-driven convective instabilities." Doctoral thesis, Universite Libre de Bruxelles, 1997. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212204.
Повний текст джерелаThis work is a theoretical contribution to the study of thermo-hydrodynamic instabilities in fluids submitted to surface-tension (Marangoni) and buoyancy (Rayleigh) effects in layered (Benard) configurations. The driving constraint consists in a thermal (or a concentrational) gradient orthogonal to the plane of the layer(s).
Linear, weakly nonlinear as well as strongly nonlinear analyses are carried out, with emphasis on high Prandtl (or Schmidt) number fluids, although some results are also given for low-Prandtl number liquid metals. Attention is mostly devoted to the mechanisms responsible for the onset of complex spatio-temporal behaviours in these systems, as well as to the theoretical explanation of some existing experimental results.
As far as linear stability analyses (of the diffusive reference state) are concerned, a number of different effects are studied, such as Benard convection in two layers coupled at an interface (for which a general classification of instability modes is proposed), surface deformation effects and phase-change effects (non-equilibrium evaporation). Moreover, a number of different monotonous and oscillatory instability modes (leading respectively to patterns and waves in the nonlinear regime) are identified. In the case of oscillatory modes in a liquid layer with deformable interface heated from above, our analysis generalises and clarifies earlier works on the subject. A new Rayleigh-Marangoni oscillatory mode is also described for a liquid layer with an undeformable interface heated from above (coupling between internal and surface waves).
Weakly nonlinear analyses are then presented, first for monotonous modes in a 3D system. Emphasis is placed on the derivation of amplitude (Ginzburg-Landau) equations, with universal structure determined by the general symmetry properties of the physical system considered. These equations are thus valid outside the context of hydrodynamic instabilities, although they generally depend on a certain number of numerical coefficients which are calculated for the specific convective systems studied. The nonlinear competitions of patterns such as convective rolls, hexagons and squares is studied, showing the preference for hexagons with upflow at the centre in the surface-tension-driven case (and moderate Prandtl number), and of rolls in the buoyancy-induced case.
A transition to square patterns recently observed in experiments is also explained by amplitude equation analysis. The role of several fluid properties and of heat transfer conditions at the free interface is examined, for one-layer and two-layer systems. We also analyse modulation effects (spatial variation of the envelope of the patterns) in hexagonal patterns, leading to the description of secondary instabilities of supercritical hexagons (Busse balloon) in terms of phase diffusion equations, and of pentagon-heptagon defects in the hexagonal structures. In the frame of a general non-variational system of amplitude equations, we show that the pentagon-heptagon defects are generally not motionless, and may even lead to complex spatio-temporal dynamics (via a process of multiplication of defects in hexagonal structures).
The onset of waves is also studied in weakly nonlinear 2D situations. The competition between travelling and standing waves is first analysed in a two-layer Rayleigh-Benard system (competition between thermal and mechanical coupling of the layers), in the vicinity of special values of the parameters for which a multiple (Takens-Bogdanov) bifurcation occurs. The behaviours in the vicinity of this point are numerically explored. Then, the interaction between waves and steady patterns with different wavenumbers is analysed. Spatially quasiperiodic (mixed) states are found to be stable in some range when the interaction between waves and patterns is non-resonant, while several transitions to chaotic dynamics (among which an infinite sequence of homoclinic bifurcations) occur when it is resonant. Some of these results have quite general validity, because they are shown to be entirely determined by quadratic interactions in amplitude equations.
Finally, models of strongly nonlinear surface-tension-driven convection are derived and analysed, which are thought to be representative of the transitions to thermal turbulence occurring at very high driving gradient. The role of the fastest growing modes (intrinsic length scale) is discussed, as well as scalings of steady regimes and their secondary instabilities (due to instability of the thermal boundary layer), leading to chaotic spatio-temporal dynamics whose preliminary analysis (energy spectrum) reveals features characteristic of hydrodynamic turbulence. Some of the (2D and 3D) results presented are in qualitative agreement with experiments (interfacial turbulence).
Doctorat en sciences appliquées
info:eu-repo/semantics/nonPublished
Soneson, Joshua Eric. "Optical Pulse Dynamics in Nonlinear and Resonant Nanocomposite Media." Diss., Tucson, Arizona : University of Arizona, 2005. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu%5Fetd%5F1274%5F1%5Fm.pdf&type=application/pdf.
Повний текст джерелаCintra, Daniel. "Contribution à l'étude du phénomène d'oscillation argumentaire." Thesis, Paris Est, 2017. http://www.theses.fr/2017PESC1220/document.
Повний текст джерелаContribution to the study of the argumental oscillation phenomenon. The argumental oscillator has a stable periodic motion at a frequency close to its fundamental frequency when it is subjected to an excitation from a harmonic source at a frequency which is a multiple of said fundamental frequency, and acting in such a way that its interaction with the system depends on the space coordinates of the system. This thesis studies some argumental systems and tries to demonstrate symbolic relations between the parameters of these systems and their observed or calculated behavior. The Van der Pol representation was used most of the time to represent the state of the system, as it is well adapted to the averaging method, where a solution is sought as a signal of sinusoidal type, with slowly varying amplitude and phase. The originality of this thesis with respect to previous publications is in the modeling, closer to real physical systems, in the symbolic developments that give new representations, in the embodiment of the experiments, which all use a real-time Van der Pol visualization, and in the object of the experiment of the beam axially excited in an argumental way. During this thesis, simple systems with one DDL have been modeled, built and tested. Symbolic relationships have been highlighted, in particular with regard to the probabilities of capture by attractors, as well as stability criteria and an approximate symbolic solution. A continuous system consisting of an axially excited slender beam was then modeled using two models, and tested; still in the symbolic domain, properties have been studied, especially concerning combinations of parameter ranges allowing the argumental phenomenon to occur
Li, Rui. "Dynamical Properties of Solutions for Various Types of Nonlinear Partial Differential Equations." Thesis, Curtin University, 2019. http://hdl.handle.net/20.500.11937/79916.
Повний текст джерелаPalmer, Robert. "Dynamics and Asymptotic Behavior of the Solutions of a Nonlinear Differential Equation." TopSCHOLAR®, 1999. http://digitalcommons.wku.edu/theses/737.
Повний текст джерелаInui, Takahisa. "GLOBAL DYNAMICS OF SOLUTIONS WITH GROUP INVARIANCE FOR THE NONLINEAR SCHRODINGER EQUATION." 京都大学 (Kyoto University), 2017. http://hdl.handle.net/2433/225377.
Повний текст джерелаYang, Kai. "Dynamics of the energy critical nonlinear Schrödinger equation with inverse square potential." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5685.
Повний текст джерелаGrice, Glenn Noel Mathematics UNSW. "Constant speed flows and the nonlinear Schr??dinger equation." Awarded by:University of New South Wales. Mathematics, 2004. http://handle.unsw.edu.au/1959.4/20509.
Повний текст джерелаFoley, 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.
Повний текст джерелаKhames, Imene. "Nonlinear network wave equations : periodic solutions and graph characterizations." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMIR04/document.
Повний текст джерелаIn this thesis, we study the discrete nonlinear wave equations in arbitrary finite networks. This is a general model, where the usual continuum Laplacian is replaced by the graph Laplacian. We consider such a wave equation with a cubic on-site nonlinearity which is the discrete φ4 model, describing a mechanical network of coupled nonlinear oscillators or an electrical network where the components are diodes or Josephson junctions. The linear graph wave equation is well understood in terms of normal modes, these are periodic solutions associated to the eigenvectors of the graph Laplacian. Our first goal is to investigate the continuation of normal modes in the nonlinear regime and the modes coupling in the presence of nonlinearity. By inspecting the normal modes of the graph Laplacian, we identify which ones can be extended into nonlinear periodic orbits. They are normal modes whose Laplacian eigenvectors are composed uniquely of {1}, {-1,+1} or {-1,0,+1}. We perform a systematic linear stability (Floquet) analysis of these orbits and show the modes coupling when the orbit is unstable. Then, we characterize all graphs for which there are eigenvectors of the graph Laplacian having all their components in {-1,+1} or {-1,0,+1}, using graph spectral theory. In the second part, we investigate periodic solutions that are spatially localized. Assuming a large amplitude localized initial condition on one node of the graph, we approximate its evolution by the Duffing equation. The rest of the network satisfies a linear system forced by the excited node. This approximation is validated by reducing the discrete φ4 equation to the graph nonlinear Schrödinger equation and by Fourier analysis. The results of this thesis relate nonlinear dynamics to graph spectral theory
Madurasinghe, M. A. D. "Splashless ship bows and waveless sterns /." Title page, summary, contents and general introduction only, 1986. http://web4.library.adelaide.edu.au/theses/09PH/09phm183.pdf.
Повний текст джерелаORTOLEVA, CECILIA MARIA. "Asymptotic properties of the dynamics near stationary solutions for some nonlinear schro dinger equations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2013. http://hdl.handle.net/10281/41846.
Повний текст джерелаAbell, K. A. "Analysis and computation of the dynamics of spatially discrete phase transition equations." Thesis, University of Sussex, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.344064.
Повний текст джерелаDadashi, Shirin. "Modeling and Approximation of Nonlinear Dynamics of Flapping Flight." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/78224.
Повний текст джерелаPh. D.