Analytical Studies on Diffusion and lntermittency in Chaotic Maps

The study of simple chaotic maps for non-equilibrium processes in statistical physics has been one of the central themes in the theory of chaotic dynamical systems. Recently, many works have been carried out on deterministic diffusion in spatially extended one-dimensional maps This can be related to real physical systems such as Josephson junctions in the presence of microwave radiation and parametrically driven oscillators. Transport due to chaos is an important problem in Hamiltonian dynamics also. A recent approach is to evaluate the exact diffusion coefficient in terms of the periodic orbits of the system in the form of cycle expansions. But the fact is that the chaotic motion in such spatially extended maps has two complementary aspects- - diffusion and interrnittency. These are related to the time evolution of the probability density function which is approximately Gaussian by central limit theorem. It is noticed that the characteristic function method introduced by Fujisaka and his co-workers is a very powerful tool for analysing both these aspects of chaotic motion. The theory based on characteristic function actually provides a thermodynamic formalism for chaotic systems It can be applied to other types of chaos-induced diffusion also, such as the one arising in statistics of trajectory separation. It was noted that there is a close connection between cycle expansion technique and characteristic function method. It was found that this connection can be exploited to enhance the applicability of the cycle expansion technique. In this way, we found that cycle expansion can be used to analyse the probability density function in chaotic maps. In our research studies we have successfully applied the characteristic function method and cycle expansion technique for analysing some chaotic maps. We introduced in this connection, two classes of chaotic maps with variable shape by generalizing two types of maps well known in literature.

Maximal compactness, min- imal Hausdor ness and reversibility of frames and a study on automorphism group of frames

One can do research in pointfree topology in two ways. The rst is the contravariant way where research is done in the category Frm but the ultimate objective is to obtain results in Loc. The other way is the covariant way to carry out research in the category Loc itself directly. According to Johnstone [23], \frame theory is lattice theory applied to topology whereas locale theory is topology itself". The most part of this thesis is written according to the rst view. In this thesis, we make an attempt to study about 1. the frame counterparts of maximal compactness, minimal Hausdor - ness and reversibility, 2. the automorphism groups of a nite frame and its relation with the subgroups of the permutation group on the generator set of the frame

A study on semigroup action on fuzzy subsets, inverse fuzzy automata and related topics

This thesis comprises five chapters including the introductory chapter. This includes a brief introduction and basic definitions of fuzzy set theory and its applications, semigroup action on sets, finite semigroup theory, its application in automata theory along with references which are used in this thesis. In the second chapter we defined an S-fuzzy subset of X with the extension of the notion of semigroup action of S on X to semigroup action of S on to a fuzzy subset of X using Zadeh's maximal extension principal and proved some results based on this. We also defined an S-fuzzy morphism between two S-fuzzy subsets of X and they together form a category S FSETX. Some general properties and special objects in this category are studied and finally proved that S SET and S FSET are categorically equivalent. Further we tried to generalize this concept to the action of a fuzzy semigroup on fuzzy subsets. As an application, using the above idea, we convert a _nite state automaton to a finite fuzzy state automaton. A classical automata determine whether a word is accepted by the automaton where as a _nite fuzzy state automaton determine the degree of acceptance of the word by the automaton. 1.5. Summary of the Thesis 17 In the third chapter we de_ne regular and inverse fuzzy automata, its construction, and prove that the corresponding transition monoids are regular and inverse monoids respectively. The languages accepted by an inverse fuzzy automata is an inverse fuzzy language and we give a characterization of an inverse fuzzy language. We study some of its algebraic properties and prove that the collection IFL on an alphabet does not form a variety since it is not closed under inverse homomorphic images. We also prove some results based on the fact that a semigroup is inverse if and only if idempotents commute and every L-class or R-class contains a unique idempotent. Fourth chapter includes a study of the structure of the automorphism group of a deterministic faithful inverse fuzzy automaton and prove that it is equal to a subgroup of the inverse monoid of all one-one partial fuzzy transformations on the state set. In the fifth chapter we define min-weighted and max-weighted power automata study some of its algebraic properties and prove that a fuzzy automaton and the fuzzy power automata associated with it have the same transition monoids. The thesis ends with a conclusion of the work done and the scope of further study.

Parameter Estimation in Chaotic Systems

This report examines how to estimate the parameters of a chaotic system given noisy observations of the state behavior of the system. Investigating parameter estimation for chaotic systems is interesting because of possible applications for high-precision measurement and for use in other signal processing, communication, and control applications involving chaotic systems. In this report, we examine theoretical issues regarding parameter estimation in chaotic systems and develop an efficient algorithm to perform parameter estimation. We discover two properties that are helpful for performing parameter estimation on non-structurally stable systems. First, it turns out that most data in a time series of state observations contribute very little information about the underlying parameters of a system, while a few sections of data may be extraordinarily sensitive to parameter changes. Second, for one-parameter families of systems, we demonstrate that there is often a preferred direction in parameter space governing how easily trajectories of one system can "shadow'" trajectories of nearby systems. This asymmetry of shadowing behavior in parameter space is proved for certain families of maps of the interval. Numerical evidence indicates that similar results may be true for a wide variety of other systems. Using the two properties cited above, we devise an algorithm for performing parameter estimation. Standard parameter estimation techniques such as the extended Kalman filter perform poorly on chaotic systems because of divergence problems. The proposed algorithm achieves accuracies several orders of magnitude better than the Kalman filter and has good convergence properties for large data sets.

Scaling algorithms for distributed max flow

Bibliography: p. 22-24.

Weighted Logratio Biplots, Correspondence Analysis and Spectral Maps

Starting with logratio biplots for compositional data, which are based on the principle of subcompositional coherence, and then adding weights, as in correspondence analysis, we rediscover Lewi's spectral map and many connections to analyses of two-way tables of non-negative data. Thanks to the weighting, the method also achieves the property of distributional equivalence

Using self organizing maps on compositional data

Self-organizing maps (Kohonen 1997) is a type of artificial neural network developed to explore patterns in high-dimensional multivariate data. The conventional version of the algorithm involves the use of Euclidean metric in the process of adaptation of the model vectors, thus rendering in theory a whole methodology incompatible with non-Euclidean geometries. In this contribution we explore the two main aspects of the problem: 1. Whether the conventional approach using Euclidean metric can shed valid results with compositional data. 2. If a modification of the conventional approach replacing vectorial sum and scalar multiplication by the canonical operators in the simplex (i.e. perturbation and powering) can converge to an adequate solution. Preliminary tests showed that both methodologies can be used on compositional data. However, the modified version of the algorithm performs poorer than the conventional version, in particular, when the data is pathological. Moreover, the conventional ap- proach converges faster to a solution, when data is \well-behaved". Key words: Self Organizing Map; Artificial Neural networks; Compositional data

Wikiloc: software libre y APIs de Google Maps para visualizar y compartir rutas GPS

Wikiloc es un servicio web gratuito para visualizar y compartir rutas y puntos de interés GPS. Utilizando software libre y la API de Google Maps, Wikiloc hace la función de base de datos personal de localizaciones GPS. Desde cualquier acceso a Internet un usuario de GPS puede cargar sus datos GPS y al momento visualizar la ruta y waypoints con distinta cartografía de fondo, incluidos servidores de mapas externos WMS (Web Map Service) o descargarlo a Google Earth para ver en 3D. Paralelamente se muestra el perfil de altura, distancia, desniveles acumulados y las fotos o comentarios que el usuario quiera añadir

The Tyne Digital Library - Part 2 Maps and Images

In this section, you will find maps showing various important aspects of the River Tyne catchment area. All the maps are drawn based on Ordnance Survey data made available via the Digimap service. For the land cover maps of the catchment area, four variants are provided. Please note that the full details of the intext citations quoted in some of the following maps can be found in the full bibliographic listing.

Maps, figures and photos for theses

This PowerPoint outlines the main points that you need to consider when adding figures to your thesis, including resolution, file format and copyright.

Evaluación de resultados de un programa en salud oral en una población capitada infantil en un centro ambulatorio entre 2009-2012

El propósito de este estudio fue analizar los resultados de una intervención primaria en salud oral de una población infantil entre edades de 7 a 12 años y establecer el comportamiento presentado en la población estudiada con respecto al índice internacional de salud oral COE Y COP, determinando aumento o disminución luego de la intervención. Para ello se utilizó un instrumento de recolección de datos, posterior a la observación de los registros clínicos, logrando conocer las características de las variables planteadas en el estudio en relación al Índice de Salud Oral COE y COP – D al inicio, final y comparativo de la intervención; número de eventos requeridos para la intervención, adherencia y cambios en patrón de morbilidad luego de la intervención. De acuerdo con los resultados se encontró que el comportamiento presentado en la población estudiada con respecto al índice de salud oral COE Y COP muestra una disminución que luego del análisis de resultados concluye con el cumplimiento de la meta internacional establecida por la OMS, estableciendo como objetivo para América Latina un COP-D de 1 a 2.9 para el año 2015; lo cual para esta investigación demuestra efectividad de la intervención al obtener un índice COP-D de 2,67.

Legitimidad, dominación y derecho en la teoría sociológica del Estado de Max Weber

En este artículo se analizan de forma conceptual y crítica las relaciones entre legitimidad, dominación y derecho en el complejo aparato conceptual de la sociológica de Max Weber. El problema de investigación que guía toda la reflexión consiste en determinar criterios que permitan distinguir un poder legítimo de un poder ilegítimo. Se muestra que la concepción del Estado moderno, ligado a la racionalidad formal instrumental del derecho positivo, llevó a Weber a concluir que la legitimidad de una dominación depende de la legalidad, la eficacia y la continuidad. Se concluye que por razones metodológicas Weber renuncia a valoraciones normativas, lo que le impide dar una respuesta satisfactoria al problema de la legitimidad. Se afirma que sólo desde una racionalidad práctica o con arreglo a valores se puede establecer una relación entre legitimidad y justicia, dándole un apropiado tratamiento al asunto. 

Impact de la violence politique sur la santé mentale des jeunes adolescents en Colombie. Analyse des facteurs de risque et de protection

El objetivo de esta investigación es examinar desde una perspectiva ecológica la salud mental de los adolescentes desplazados por la violencia política en Colombia. Se tomó como base el modelo ecológico integrado del impacto del trauma de Elbedour, ten Bensel y Bastien (1993), que estipula la influencia combinada de diferentes niveles de factores unidos a la experiencia traumática, factores individuales y factores proximales que vienen de la familia, y de los factores sociales de la red social familiar. El estudio se realizó con 98 jóvenes en edades entre los 9 a 16 años (M= 12.5 años, dt= 2.18), habitantes de las afueras de Barranquilla, de los cuales 48 son desplazados por la violencia (26 de sexo masculino, 22 de sexo femenino) y 50 son sedentarios pobres (26 de sexo masculino, 24 de sexo femenino). Los cuestionarios se escogieron en función de su utilización en contextos de pobreza y/o violencia (Macksoud, 1992; Macksoud & Aber, 1996; Macksoud, Aber, Dyregrov & Raundalen, 1990). Los resultados muestran que los adolescentes desplazados son más deprimidos y ansiosos que sus pares sedentarios. La ansiedad está unida al número total de eventos traumáticos, mientras que la depresión se explica más bien por la separación de los padres. Las competencias sociales y el ambiente social actúan como factores protectores. Entre los factores del ambiente social se observa el hecho de vivir en una familia extensa y de inscribirse en una red social que incluye a los amigos de la familia.  En su conjunto, la familia y la preservación de su unidad aparecen como elementos cruciales.