Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 22 for “"Periodic Solution"”.
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A study of well-balanced finite volume methods and refinement indicators for the shallow water equations
This thesis studies solutions to the shallow water equations analytically and numerically. The study is separated into three parts. The first part is about well-balanced finite volume methods to solve steady and unsteady state problems. A method is said to be well-balanced if it preserves an …
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A study of well-balanced finite volume methods and refinement indicators for the shallow water equations
This thesis studies solutions to the shallow water equations analytically and numerically. The study is separated into three parts. The first part is about well-balanced finite volume methods to solve steady and unsteady state problems. A method is said to be well-balanced if it preserves an …
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Discrete and dynamic population models with logistic growth rate
… describing a population model. Considering periodic carrying capacity and periodic inherent growth rate, a population with seasonal changing life cycle and environment is reflected. The so-called periodically forced Beverton-Holt equation is investigated and its unique periodic solution is …
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Exploring the Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy with Capillary Layer Interactions
… the numerical pseudo-arclength continuation of periodic solutions. We first use these numerical approaches to explore the nonlinear dynamics of the cantilever. We find the coexistence of three steady state oscillating solutions: (i) periodic with low-amplitude, (ii) periodic with high-amplitude, …
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Tumour growth model of cancer self-remission with hassell-varley functional response
… for some parameter ranges, which generate periodic solution.
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Periodic Delay Effects on Cutting Tool Dynamics
… equation whose delay is perturbed by a small periodic fluctuation. In Particular, it is assumed that the delay equation exhibits a Hopf bifurcation when its delay Is unperturbed. The periodically perturbed system exhibits more delicate bifurcations than a Hopf bifurcation. We show that these …
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Vibrações e estabilidade paramétrica de cascas axissimétricas
… variable it is shown that this load generates a periodic excitation on the shell. Linear and non-linear transient responses are then obtained through a finite difference approximation in the time domain anda finite element discretization in the longitudinal direction. The steady-state periodic …
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On the N-body Problem
… is also studied. Many different types of periodic solutions involving single binary collisions and simultaneous binary collisions are constructed. In section 4, the linear stability is studied for the Kepler orbits of the rhombus four-body problem. We show that, for given four proper …
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Mathematical Modeling, Simulation, and Time Series Analysis of Seasonal Epidemics.
… SEIRS model, it is shown that the disease-free periodic solution is locally asymptotically stable when <em><b>R̅</b><sub>v</sub></em> < 1, and <em>I</em>(<em>t</em>) is persistent with sustained oscillations when <em><b>R̅</b><sub>v</sub></em> > 1. Numerical simulations indicate that the orbit …
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Exploring global dynamics in a low order model of parallel shear flow
… contradictory facts a search began for numerical periodic solutions to Plane Couette flow. Nagata produced the first such solution and since then many others have been found as well. In order to explain the “bursting” process Fabian Waleffe introduced a low order model of Plane Couette flow that …
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Floquet Theory on Banach Space
… operators on <em>X</em>. If the system is periodic, meaning <em>A</em>(<em>t</em>+<em>ω</em>) = <em>A</em>(<em>t</em>) for some period <em>ω</em>, then it is called a Floquet system. We will investigate the existence and uniqueness of the periodic solution, as well as the stability of a …
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Time series photometry of the dwarf planet Eris
… time. A periodogram was used to search for a periodic solution, but did not yield a significant signal. This means that the rotation period of Eris was below the detection limit of the data, so this detection limit was calculated. For a 6 hour period, the data would have had a 2 sigma …
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Periodic Solutions of Chaotic Partial Differential Equations With Symmetries
We consider the problem of finding relative time-periodic solutions of chaotic partial differential equations with symmetries. Relative time-periodic solutions are solutions which are periodic in time, up to a transformation by an element of the equations' symmetry group. First, we work with the …
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Modeling the Impact Of Environmental Factors, Diapause and Control Strategies on Tick and Tick-Borne Disease Dynamics
… on tick and tick-borne disease persistence and periodicity. The first model we propose is a two-patch tick population model in which we show how the tick reproduction number $R_{T,c}$ affects the long-term behaviours of tick population and how it might lead to extinction, convergence to a …
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Mathematical modelling of thixotropic and antithixotropic fluids
… the emphasis of our investigations is on the periodic oscillatory behaviour of the systems, rather than on the transient initial phase during which the system adjusts to the attracting periodic solution. In chapter 4 we consider the two-dimensional flow of a thixotropic or antithixotropic …
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A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves
… in a horizontal propagation direction and periodic in a transverse direction, are considered. The exact Euler equations are formulated as a spatial dynamic system in which the variable used for the propagating direction is the time-like variable. The existence of the solutions of the system …
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Collective behavior of colloidal suspensions under electric fields and confinement
… large-scale simulations of such suspensions with periodic boundary conditions using an efficient simulation method. While the dynamics under dielectrophoresis alone are shown to be characterized by particle chaining along the field direction, chaining is not found to occur when induced-charge …
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Integrability, localisation and bifurcation of an elastic conducting rod in a uniform magnetic field
… the system admits spatially chaotic solutions and a multiplicity of multimodal homoclinic solutions exist. Poincare sections associated with the loss of integrability are displayed. Homoclinic solutions are computed and post-buckling paths found using continutaion methods. The rods …
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The Structure of Multipulse Solitons in the Generalised Nonlinear Schrödinger Equation
… signatures. We consider a stationary wave solution ansatz, where the optical pulse does not undergo a change in shape while propagating. This allows us to transform the quartic GNLSE into a fourth-order nonlinear ordinary differential equation (ODE), which we use to find bi-asymptotic …
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Recurrent Gait of Anthropomorphic, Bipedal Walkers
… This includes calculating the stability of periodic orbits and varying the system parameter to create bifurcation diagrams and to address the persistence of a periodic solution under specific parameter variations. These periodic orbits are found by implementing the Newton-Raphson root …
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