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 154 for “"Self Similar"”.
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Self Similar Optical Fiber
<p>This research proposes Self Similar optical fiber (SSF) as a new type of optical fiber. It has a special core that consists of self similar structure. Such a structure is obtained by following the formula for generating iterated function systems (IFS) in Fractal Theory. The resulted SSF can be …
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Dimensions of Self-Similar Fractals
We investigate the topological, similarity and Hausdorff dimensions of self-similar fractals that are the invariant sets of iterated function systems. We start with the Contraction Mapping Theorem, which will give us a constructive method in which to find fractals using iterated function systems. …
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On Self-Similar Gaussian Processes
… These results are applied to a general class of self-similar processes that includes the bifractional Brownian motion. On the other hand, we establish a comparison result on the Laplace transform of the hitting time for a fractional Brownian motion with Hurst parameter H < 1/2 . Finally, the …
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Geometry of Self-Similar Sets
This paper examines self-similar sets and some of their properties, including the natural equivalence relation found in bilipschitz equivalence. Both dimension and preservation of paths are determined to be invariant under this equivalence. Also, sophisticated techniques, one involving the use of …
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Supersonic self-similar screw-pinch plasma implosions
Self-similar solutions are obtained for the supersonic compression of a plasma containing an axial current and an entrained axial magnetic field (screw-pinch). These solutions represent a complete generalization of previous works done on the Z-pinch and $\Theta$-pinch schemes. The solutions …
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Self-Similar Models of Quasar Outflow Shock Structures
… combines and expands on existing analytic self-similar models of these structures in the context of quasar accretion disk winds; we then search for the bulk acceleration (positive or negative) of low-velocity Ca II in the quasar SDSS J030000.0+004828.0 (J0300) and compare our results to …
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Complexity, Emergence, and Self-Similar Organization in River Networks
… runoff and the rainfall excess rates and the self-similar organization in river networks. I also investigate the connectivity structure of binary trees which enables ubiquitous characteristics, such as self-similar topology, observed in river networks as well as other diverse tree networks. To …
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Self similar flows in finite or infinite two dimensional geometries
… is concerned with several problems related to self-similar flows in pulsating channels. Exact or similarity solutions of the Navier-Stokes equations are of practical and theoretical importance in fluid mechanics. The assumption of self-similarity of the solutions is a very attractive one from …
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Modeling and analysis of self-similar traffic in ATM networks
… generate, model and find performance measures of self-similar traffic, which is frequently encountered in the ATM environment. We study the modeling and performance measures of Ethernet and VBR video data. However, the main emphasis in the dissertation is VBR video data. In addition, we propose a …
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Self-similar synthesis on the border between sound and music
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Architecture, 1992.
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Novel ultrasonic transducers and array designs using self-similar fractal geometries
Wider operational bandwidth is an important requirement of an ultrasound transducer across many applications. Naturally occurring resonating systems utilise structures containing a range of length scales to produce a broad operating bandwidth. In this work, a novel concept of designing a …
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Magnitude correlations and criticality in a self-similar model of seismicity
… subsequent magnitudes for a previously proposed self-similar aftershock rates model of seismicity whose main distinguishing feature arises as a consequence of the dependency of the rates on the magnitude difference between trigger-triggered events. By means of a particular statistical measure we …
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On the Fourier decay and the dimension of self-similar measures
… speed of the decay of the Fourier transform of self-similar measures on $\R$. An iterated function system (IFS) on $\R$ is a collection of maps $f_1, \dots, f_r$ with $f_i(x)=\lambda_i x+\tau_i$, where $|\lambda_i|<1$ and $\lambda_i, \tau_i \in \R$. The self-similar measure $\mu$ associated to …
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Application of Wavelets to Filtering and Analysis of Self-Similar Signals
… signal increases. Many interesting signals are self-similar, which means that one of their properties is invariant on many different scales. One popular example is strict self-similarity, where an exact copy of a signal is replicated on many scales, but the most common property is statistical …
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Photonic crystal cavity with self-similar structure and single-photon Kerr nonlinearities
… propose a design of photonic crystal cavity with self-similar electromagnetic boundary conditions, that achieve ultrasmall mode volume (Vff). The electric energy density of a cavity mode can be maximized in the air or dielectric region, depending on the choice of boundary conditions. We illustrate …
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Naked singularities in self-similar gravitational collapse: Stability properties of the Cauchy horizon
… of general linear perturbations of the class of self-similar Lemaître-Tolman-Bondi spacetimes which contain a naked singularity. The perturbations naturally split into two classes, odd and even parity, which we consider in turn. For the odd parity perturbation, we first identify a single gauge …
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Flow Dynamics in Large River Basins: Self -Similar Network Structure and Scale Effects
… are studied. It is found that in basins with self-similar network structure in which Horton's laws of stream lengths and stream areas hold, the dispersion coefficients obtained for equilibrium flow conditions asymptotically obey Horton's law type of relations. Under these conditions, the mean …
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Self-similar solutions to the mean curvature flow in Euclidean and Minkowski space
… of this thesis, we give a classification of all self-similar solutions to the curve shortening flow in the Euclidean plane R² and discuss basic properties of the curves. The problem of finding the curves is reduced to the study of a twodimensional system of ODEs with two parameters that determine …
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Self-similar singularity formation and wellposedness theory for compressible fluids and dispersive PDE
… we construct radially symmetric smooth selfsimilar profiles for the compressible Euler equations which exhibit an implosion type singularity in finite time. This will be the first part of the thesis. The second part of the thesis consists on doing a non-radial stability analysis around …
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