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 20 for “"Bifurcation Point"”.
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Stochastic information in the assessment of climate change
… the circulation may break down in a saddle-node bifurcation under the influence of climate change. Due to uncertainty in ocean models, it is currently very difficult to determine the distance of the THC to the bifurcation point. We propose a new indicator to determine the system's proximity to …
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Bifurcations of maps: numerical algorithms and applications
… %The system dynamics describe a sequence of points $\left\{x_k{\right\} \subset \R^n$ (orbit), provided an initial $x_0 \in \R^n$ is given. The main goal in the study of a dynamical system is to find a complete characterization of the geometry of the orbit structure and the change in orbit …
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Nonlinear Dynamics of Energy Harvesting Ocean Buoys
… range of environmental conditions. First, the bifurcation and stability behavior of inhomogeneous floating bodies is studied. Bifurcation diagrams and basins of attraction that illustrate the stability of the equilibrium positions as a function of the vertical position of the center of mass …
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Coupled mode reductions and rotating wave approximations in nonlinear equations
… the long-time dynamics near a symmetry breaking bifurcation point of the cubic-quintic NLS/GP with symmetric double-well potentials. We investigate the stability of the solutions of NLS/GP and analyze the error for the finite dimensional ansatz. Next, we consider a class of discrete nonlinear …
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Dynamic Sensitivity Functions and the Stability of Power Systems With FACTS Controllers
… contingencies. It is well known that Hopf bifurcations cause system voltage instability before saddle-node bifurcations occur as system loading increases. The impact on the Hopf bifurcation point is investigated in this dissertation for systems which include flexible alternating current …
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On intrinsic uncertainties in earth system modelling
… is investigated, which shows a saddle node bifurcation against those parameters that influence the heat budget of the system and that goes along with a regime shift from a wet to a dry summer monsoon. As some of these parameters are crucially influenced by anthropogenic perturbations, the …
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Analysis of solitary waves in inhomogeneous systems
… In contrast to the symmetric case, pitchfork bifurcation no longer exists, and we find a saddle node one instead. For the second problem, we use coupled mode reduction method to yield conditions for symmetry breaking bifurcations. We notably obtain that the bifurcation is degenerate. There are …
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Some aspects of the numerical solution of equilibrium problems in finite elasticity
… for determining on such a curve all the singular points (both limit and bifurcation points). Further methods are then presented which allow branching onto secondary paths (subsets of secondary surfaces) from bifurcation points in order to trace out these paths and so determine the bifurcation …
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Asymptotic post-buckling analysis by Koiter's method with a general purpose finite element code
… load-displacement behavior close to the bifurcation point. Numerical results for the initial post-buckling behavior are obtained for truss and frame structures using the Koiter’s analysis procedure on EAL. It is compared to the nonlinear load-displacement behavior of the structures with …
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Nonlinear dynamics of three-dimensional solitary waves
… viscous dissipation, cmin is known to be the bifurcation point of two-dimensional (plane) and three-dimensional (fully localized) solitary waves, often referred to as "lumps"; these are nonlinear disturbances that propagate at speeds below cmin without change of shape owing to a perfect …
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Crack Path Bifurcation at a Tear Strap in a Pressurized Stiffened Cylindrical Shell
… are developed to assess the location of crack bifurcation. Three different stress based crack turning criteria are investigated from the axial crack growth results as a second method for assessing a location of bifurcation. The bifurcation analyses and stress based turning criteria corroborate …
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Numerical Simulation And Control Of Thermocapillary Convection In Cavities And Liquid Layers
… low Reynolds and capillary numbers. The primary bifurcation point appears to be supercritical. The response of the system is very sensitive with respect to the functional form of the external heating, variations of transport parameters, such as Reynolds and capillary numbers, and geometrical …
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Unsteady aerodynamics of falling plates
… of center of mass near the cusp-like turning points. The Navier-Stokes solutions further provides the missing quantity in the classical theory of lift: the instantaneous circulation, and suggests a revised ODE model for the fluid forces. Experimentally and numerically, we get access to …
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The Lorenz System Near the Loss of the Foliation Condition
… continuation of orbit segments formulated by two-point boundary value problems. To explain the 'half-swing' we characterise geometrically a bifurcation in the -limit of Ws(p ), which we call an - ip. We accurately compute the parameter value at which this rst - ip occurs and nd many subsequent - …
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The Role of Bax and Bak in Necrotic Cell Death
… separate functions of Bax/Bak place them at the bifurcation point of mitochondrial dependent apoptosis and necrosis.
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Biochemical characterization of C-family heme copper oxygen reductase
… further up the KC-channel, was suggested to be a bifurcation point, where protons are diverged to either the active site to reduce oxygen to water or the proton-loading site (PLS) for pumping to the P-side. This is supported by our observations that Y321 contributes to the fast unidirectional …
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Data Analysis of an Unsteady Cavitating Flow on a Venturi-type Profile
The instability modes and non-linear behavior of a cavitating flow have been studied based on the experimental data obtained from planar Particle Image Velocimetry (PIV). Three data-driven techniques, Proper Orthogonal Decomposition (POD), Dynamic Mode Decomposition (DMD), and Clustered-based …
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Inestabilidad oscilatoria y sus aplicaciones en mecánica de fluidos y combustión
… . This instability is one of the generic bifurcations form steady states to more complex behavior; it involves a temporal frecuency and a spatial wavenumber and yields a pair of counter propagating wavetrains along the large spatial dimensión. The (already known) amplitude equations …
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Analysis of pattern dynamics for a nonlinear model of the human cortex via bifurcation theories
This thesis examines the bifurcations, i.e., the emergent behaviours, for the Waikato cortical model under the influence of the gap-junction inhibitory diffusion D₂ (identified as the Turing bifurcation parameter) and the time-to-peak for hyperpolarising GABA response γi (i.e., inhibitory …
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Aspects of population dynamics
… theory. The stability of the coexistence fixed point is studied and the period doubling is related to a bifurcation point in the homotopy mapping. However, we find that the predator-prey ecology's coexistence is stable for most of its parameter region. We apply a perturbative Doi–Peliti …