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 15 of 15 for “"Basins of Attraction"”.
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Exterior discrete semi-flows
… generated by an exterior continuous map. The aim of this doctoral thesis is to profoundly study the notion of exterior discrete semi-flow and to apply it to the analysis of iterative processes induced by some numerical methods. Firstly, we establish connections in dimension 0 among three of the …
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Two problems in iterative nonlinear maps
This thesis consists of two parts. In the first part we study the dynamics and the boundaries between basins of attraction of a logistic map defined in real 2 x 2 matrices. We show how these boundaries are of a mixed type, combining fractal and smooth regions. We find in these boundaries a very …
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On the complexity of energy landscapes: algorithms and a direct test of the Edwards conjecture
When the states of a system can be described by the extrema of a high-dimensional function, the characterisation of its complexity, i.e. the enumeration of the accessible stable states, can be reduced to a sampling problem. In this thesis a robust numerical protocol is established, capable of …
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El método de Chebyshev para el cálculo de las raíces de ecuaciones no lineales
… the different allocation enclose the authorship of that method. In the following two approaches, we delve into the study of real and complex dynamics of the method emphasizing knowledge of the basins of attraction of the solutions and in the character of the fixed points of the iteration …
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Direct computation of the packing entropy of granular materials
… in industry after water and their properties are of great importance for the pharmaceutical, food, mechanosynthesis and semiconductor industries. Up to 60% of the capacity of some industrial plants is used to process them. This thesis describes computer simulations that aim to evaluate the number …
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Estudio de métodos tipo secante: convergencia, estabilidad y accesibilidad
This research is part of the study and development of iterative numerical methods for solving nonlinear equations. In particular, it focuses on the analysis and optimization of secant-type methods, with the aim of improving their efficiency and stability compared to traditional techniques. The …
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Estudio de la dinámica del método de Newton amortiguado
The Doctoral Thesis defended lies on the border of two lines of mathematical research of great relevance, such as dynamical systems and the numerical solution of nonlinear equations by iterative processes. Specifically, we studied the iterative method known as damped Newton method, which is a …
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Nonlinear Energy Harvesting With Tools From Machine Learning
… response.</p><p>Based on existing investigations of nonlinear energy harvesting, this dissertation introduced a novel type of energy harvester designs for space efficiency and intentional nonlinearity: translational-to-rotational conversion. Two dynamical systems were presented: 1) vertically …
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Analytical and experimental investigations of ships impact interaction with one-sided barrier
<p>This study deals with impact interaction of ships with one-sided ice barrier during roll dynamics. An analytical model of ship roll motion interacting with ice is developed based on Zhuravlev and Ivanov non-smooth coordinate transformations. These transformations have the advantage of converting …
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State switching in multi-stable systems: control and optimisation.
… have more than one stable state under a set of parameters and the process of switching from an undesired state to a desired state is achieved by the proposed PD-like controller. It exploits the difference of the displacement and velocity between the undesired and the desired stable conditions …
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Exploring the Nonlinear Dynamics of Tapping Mode Atomic Force Microscopy with Capillary Layer Interactions
… contributions as well as the interaction of the capillary fluid layers that cover both tip and sample in the ambient conditions common in experiment. To accomplish this, we have developed and used numerical techniques specifically tailored for discontinuous, nonlinear, and hysteretic …
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Fractal Dimensions in Classical and Quantum Mechanical Open Chaotic Systems
… arising from chaotic dynamics; be it in the form of strange attractors, of fractal boundaries around basins of attraction, or of fractal and multifractal distributions of asymptotic measures in open systems. In this thesis we study fractal and multifractal measure distributions in leaky …
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Nonlinear Dynamics of Energy Harvesting Ocean Buoys
… investigate different ways that the performance of ocean energy harvesting buoys can be improved by intentionally inserting nonlinearities into the system. The goal is to maximize the amount of energy that is extracted from ocean waves across a broad range of environmental conditions. First, the …
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A Reactive Search Optimization approach to interactive decision making
… Optimization (RSO) advocates the integration of learning techniques into search heuristics for solving complex optimization problems. In the last few years, RSO has been mostly employed in self-adapting a local search method in a manner depending on the previous history of the search. The …