Characterizing chaos in a type of fractional duffing's equation

We characterize the chaos in a fractional Duffing’s equation computing the Lyapunov exponents and the dimension of the strange attractor in the effective phase space of the system. We develop a specific analytical method to estimate all Lyapunov exponents and check the results with the fiduciary orbit technique and a time series estimation method.

El enfoque integrado en los programas de regeneración urbana de barrios desfavorecidos: una visión relacional

Actualmente se reconoce de forma generalizada que la problemática de los barrios más desfavorecidos presenta un trasfondo estructural de magnitud multidimensional que implica a múltiples actores, que requiere respuestas de carácter multiescalar, multidimensional y multiagente y un alto nivel de cooperación institucional y de coordinación entre la diversidad de actores, que pone en cuestión los modelos de gobernanza y gestión urbana tradicionales. Frente a los retos e implicaciones que plantea la noción de espacio como construcción social y los problemas de coordinación detectados que limitan el alcance de la regeneración urbana integrada, en esta investigación se pregunta por los principales elementos que pueden facilitar la dinamización y coordinación de los procesos y se plantea que es preciso aprovechar el propio proceso participativo para reforzar el papel de estos elementos y generar mejores condiciones para la colaboración en un proceso de aprendizaje práctico de formas de análisis e intervención integrada y gestión relacional, que supere los niveles de información y consulta de la práctica participativa habitual. Se centra por tanto la atención en los factores que facilitan la dinamización y coordinación de los procesos (elementos dinamizadores y articuladores), en el nivel de participación social y cooperación institucional en los distintos momentos de la planificación de la estrategia entendida como un proceso continuo de reflexión-acción-reflexión y en aquellas condiciones del modelo de participación que pueden propiciar relaciones estratégicas y mejorar la capacidad de interacción y acción del sistema de actores y relaciones en el proceso de planificación y gestión, que lleva a cuestionar en qué medida los soportes (foros de participación y nodos y ejes de actividad y relación) y el tipo de técnicas (técnicas de dinamización y técnicas de identificación y activación de oportunidades) de los modelos de participación de experiencias concretas pueden fomentar formas de interacción que mejoren la comunicación y la movilización de recursos. Para analizar esta situación en la práctica, se desarrolla un marco conceptual, metodológico y operativo a partir de la contribución de conceptos, teorías y modelos basados en una visión relacional y multidimensional de las dinámicas de desarrollo local integrado. Esta metodología se valida en cuatro casos de referencia a partir de la información de documentos oficiales y de las visiones de la diversidad de actores implicados recogidas a través de una primera consulta a expertos (13) y entrevistas semiestructuradas a representantes de la diversidad de actores implicados (75), que se ha procesado por medio de tres herramientas conceptuales de análisis complementarias desarrolladas a lo largo de la investigación apoyadas en la perspectiva relacional de la reinterpretación actual del espacio y las escalas: el ‘Sistema de acción local’, el ‘Diagrama de momentos’ del proceso de planificación y gestión, y la ‘Matriz de caracterización’ del modelo de participación. La evaluación y la comparativa de los casos según el método de análisis evidencian la importancia del papel ejercido por los elementos articuladores (actores y organismos de enlace, espacios de encuentro y acción, y los significados y visiones compartidas) y dinamizadores (el capital social y las capacidades institucionales propiciadas en redes de colaboración) a la hora de facilitar la colaboración entre las distintas instituciones responsables, reforzar las relaciones entre actores, grupos y entidades del barrio, y mejorar los problemas de convivencia vecinal, y en definitiva, de mejorar las posibilidades de los diferentes actores urbanos de implicarse de manera activa. Además, las fórmulas alternativas que se han puesto en marcha en los distintos casos frente a las dificultades que presenta la administración a la hora de trabajar por proyectos y el resto de actores de colaborar de forma constructiva, han supuesto un importante proceso de aprendizaje y práctica en formas de participación y colaboración. ABSTRACT It is widely accepted that the current situation of multi-deprived neighborhoods has a structural and a multidimensional basis involving multiple actors that calls for multiscale, multidimensional and multiagent solutions and requires a high level of institutional cooperation and a great deal of coordination between different actors. This calls into question traditional governance and management models. In order to cope with the challenges and implications of the idea of the social construction of space and these coordination requirements that compromise the scope of integrated urban regeneration strategies, this research focuses on the main elements and factors that facilitate the mobilization and coordination of the regeneration processes, and recognizes the importance of participation processes facilitating better social, communication and collaboration skills in a practical learning process of integrated analysis and urban regeneration interventions and relational governance mechanisms going beyond mere information and consultation levels. Thus, the study focuses on the principal factors which facilitate the mobilization and coordination of integrated area regeneration, the level of social participation and institutional cooperation at different planning moments in a continuous process of reflection-action-reflection, and the conditions under which the participation process may promote strategic relationships and improve the performance of the system of actors and relationships in the planning and management process. This questions to what extent the supports (participation arenas and activity nodes and axis) and the type of techniques (participation encouragement and opportunities identification and activation techniques) considered in participation models had led to a level of interaction that has improved communication and resource mobilization capabilities. In order to analyze this situation in practice, a conceptual, methodological and operational framework is developed, which considers the contributions of the review of concepts, theories and models based on a relational and multidimensional view of local development dynamics. This methodology is validated in four representative case studies in view of official documents and the contributions of diverse stakeholders gathered through a first consultation to experts (13) and semi-structured interviews to representatives of the diversity of actors involved (75). This data has been processed by three complementary analytical tools developed during the research, based on the relational perspective of the current reinterpretation of space and scales: the 'Local Action System', the 'Diagram of planning moments', and the 'Characterization matrix of the participation model'. The comparative evaluation of the four case studies carried out using the analytical method developed during the project, shows the importance of the availability and the role of linkage elements (actors and organizations, collective spaces and shared visions) and drivers (social capital and institutional capacities generated through collaborative networks) in facilitating the collaboration among all responsible institutions, in promoting and strengthening relations between actors, groups and neighborhood organizations, and in improving the conviviality and social cohesion conditions, and ultimately in fostering the possibilities of diversity of urban actors to engage and participate actively in the transformation process, increasing accordingly the options for change. In addition, despite all the difficulties, these practices have implemented alternative formulas addressing the limitations of the administration in working by projects and not by competences and of the stakeholders in collaborating in a constructive way. The development and implementation of these participatory formulas has been an important learning process.

Aerodynamic database reconstruction via gappy high order singular value decomposition

Esta Tesis se centra en el desarrollo de un método para la reconstrucción de bases de datos experimentales incompletas de más de dos dimensiones. Como idea general, consiste en la aplicación iterativa de la descomposición en valores singulares de alto orden sobre la base de datos incompleta. Este nuevo método se inspira en el que ha servido de base para la reconstrucción de huecos en bases de datos bidimensionales inventado por Everson y Sirovich (1995) que a su vez, ha sido mejorado por Beckers y Rixen (2003) y simultáneamente por Venturi y Karniadakis (2004). Además, se ha previsto la adaptación de este nuevo método para tratar el posible ruido característico de bases de datos experimentales y a su vez, bases de datos estructuradas cuya información no forma un hiperrectángulo perfecto. Se usará una base de datos tridimensional de muestra como modelo, obtenida a través de una función transcendental, para calibrar e ilustrar el método. A continuación se detalla un exhaustivo estudio del funcionamiento del método y sus variantes para distintas bases de datos aerodinámicas. En concreto, se usarán tres bases de datos tridimensionales que contienen la distribución de presiones sobre un ala. Una se ha generado a través de un método semi-analítico con la intención de estudiar distintos tipos de discretizaciones espaciales. El resto resultan de dos modelos numéricos calculados en C F D . Por último, el método se aplica a una base de datos experimental de más de tres dimensiones que contiene la medida de fuerzas de una configuración ala de Prandtl obtenida de una campaña de ensayos en túnel de viento, donde se estudiaba un amplio espacio de parámetros geométricos de la configuración que como resultado ha generado una base de datos donde la información está dispersa. ABSTRACT A method based on an iterative application of high order singular value decomposition is derived for the reconstruction of missing data in multidimensional databases. The method is inspired by a seminal gappy reconstruction method for two-dimensional databases invented by Everson and Sirovich (1995) and improved by Beckers and Rixen (2003) and Venturi and Karniadakis (2004). In addition, the method is adapted to treat both noisy and structured-but-nonrectangular databases. The method is calibrated and illustrated using a three-dimensional toy model database that is obtained by discretizing a transcendental function. The performance of the method is tested on three aerodynamic databases for the flow past a wing, one obtained by a semi-analytical method, and two resulting from computational fluid dynamics. The method is finally applied to an experimental database consisting in a non-exhaustive parameter space measurement of forces for a box-wing configuration.

Multiresidue Analysis of Insecticides and Other Selected Environmental Contaminants in Poultry Manure by Gas Chromatography/Mass Spectrometry

An analytical method was developed for the simultaneous determination in poultry manure of 41 organic contaminants belonging to different chemical classes: pesticides, polycyclic aromatic hydrocarbons, polychlorinated biphenyls, and polybrominated diphenyl ethers. Poultry manure was extracted with a modified QuEChERS method, and the extracts were analyzed by isotope dilution GC/MS. Recovery of these contaminants from samples spiked at levels ranging from 25 to 100 ng/g was satisfactory for all the compounds. The developed procedure provided LODs from 0.8 to 9.6 ng/g. The analysis of poultry manure samples collected on different farms confirmed the presence of some of the studied contaminants. Pyrethroids and polycyclic aromatic hydrocarbons were the main contaminants detected.

Determination of selected pharmaceutical compounds in biosolids bysupported liquid extraction and gas chromatography?tandem massspectrometry

In this work, an analytical method was developed for the determination of pharmaceutical drugs inbiosolids. Samples were extracted with an acidic mixture of water and acetone (1:2, v/v) and supportedliquid extraction was used for the clean-up of extracts, eluting with ethyl acetate:methanol (90:10, v/v).The compounds were determined by gas chromatography?tandem mass spectrometry using matrix-match calibration after silylation to form their t-butyldimethylsilyl derivatives. This method presentsvarious advantages, such as a fairly simple operation for the analysis of complex matrices, the use ofinexpensive glassware and low solvent volumes. Satisfactory mean recoveries were obtained with thedeveloped method ranging from 70 to 120% with relative standard deviations (RSDs) ? 13%, and limitsof detection between 0.5 and 3.6 ng g?1. The method was then successfully applied to biosolids samplescollected in Madrid and Catalonia (Spain). Eleven of the sixteen target compounds were detected in thestudied samples, at levels up to 1.1 ?g g?1(salicylic acid). Ibuprofen, caffeine, paracetamol and fenofibratewere detected in all of the samples analyzed.

Analytical study and evaluation results of power optimizers for distributed power conditioning in PV arrays

The use of modular or ‘micro’ maximum power point tracking (MPPT) converters at module level in series association, commercially known as “power optimizers”, allows the individual adaptation of each panel to the load, solving part of the problems related to partial shadows and different tilt and/or orientation angles of the photovoltaic (PV) modules. This is particularly relevant in building integrated PV systems. This paper presents useful behavioural analytical studies of cascade MPPT converters and evaluation test results of a prototype developed under a Spanish national research project. On the one hand, this work focuses on the development of new useful expressions which can be used to identify the behaviour of individual MPPT converters applied to each module and connected in series, in a typical grid-connected PV system. On the other hand, a novel characterization method of MPPT converters is developed, and experimental results of the prototype are obtained: when individual partial shading is applied, and they are connected in a typical grid connected PV array

Analytical properties of horizontal visibility graphs in the Feigenbaum scenario

Time series are proficiently converted into graphs via the horizontal visibility (HV) algorithm, which prompts interest in its capability for capturing the nature of different classes of series in a network context. We have recently shown [B. Luque et al., PLoS ONE 6, 9 (2011)] that dynamical systems can be studied from a novel perspective via the use of this method. Specifically, the period-doubling and band-splitting attractor cascades that characterize unimodal maps transform into families of graphs that turn out to be independent of map nonlinearity or other particulars. Here, we provide an in depth description of the HV treatment of the Feigenbaum scenario, together with analytical derivations that relate to the degree distributions, mean distances, clustering coefficients, etc., associated to the bifurcation cascades and their accumulation points. We describe how the resultant families of graphs can be framed into a renormalization group scheme in which fixed-point graphs reveal their scaling properties. These fixed points are then re-derived from an entropy optimization process defined for the graph sets, confirming a suggested connection between renormalization group and entropy optimization. Finally, we provide analytical and numerical results for the graph entropy and show that it emulates the Lyapunov exponent of the map independently of its sign.

A three-dimensional self-adaptive hp finite element method for the characterization of waveguide discontinuities

We propose the use of a highly-accurate three-dimensional (3D) fully automatic hp-adaptive finite element method (FEM) for the characterization of rectangular waveguide discontinuities. These discontinuities are either the unavoidable result of mechanical/electrical transitions or deliberately introduced in order to perform certain electrical functions in modern communication systems. The proposed numerical method combines the geometrical flexibility of finite elements with an accuracy that is often superior to that provided by semi-analytical methods. It supports anisotropic refinements on irregular meshes with hanging nodes, and isoparametric elements. It makes use of hexahedral elements compatible with high-order H(curl)H(curl) discretizations. The 3D hp-adaptive FEM is applied for the first time to solve a wide range of 3D waveguide discontinuity problems of microwave communication systems in which exponential convergence of the error is observed.

Application of the Boundary Element Method to the Analysis of Bridge Abutments

The B.E. technique is applied to an interesting dynamic problem: the interaction between bridges and their abutments. Several two-dimensional cases have been tested in relation with previously published analytical results. A three-dimensional case is also shown and different considerations in relation with the accuracy of the method are described.

Impedance of foundations using the Boundary Integral Equation Method

Dynamic soil-structure interaction has been for a long time one of the most fascinating areas for the engineering profession. The building of large alternating machines and their effects on surrounding structures as well as on their own functional behavior, provided the initial impetus; a large amount of experimental research was done,and the results of the Russian and German groups were especially worthwhile. Analytical results by Reissner and Sehkter were reexamined by Quinlan, Sung, et. al., and finally Veletsos presented the first set of reliable results. Since then, the modeling of the homogeneous, elastic halfspace as a equivalent set of springs and dashpots has become an everyday tool in soil engineering practice, especially after the appearance of the fast Fourier transportation algorithm, which makes possible the treatment of the frequency-dependent characteristics of the equivalent elements in a unified fashion with the general method of analysis of the structure. Extensions to the viscoelastic case, as well as to embedded foundations and complicated geometries, have been presented by various authors. In general, they used the finite element method with the well known problems of geometric truncations and the subsequent use of absorbing boundaries. The properties of boundary integral equation methods are, in our opinion, specially well suited to this problem, and several of the previous results have confirmed our opinion. In what follows we present the general features related to steady-state elastodynamics and a series of results showing the splendid results that the BIEM provided. Especially interesting are the outputs obtained through the use of the so-called singular elements, whose description is incorporated at the end of the paper. The reduction in time spent by the computer and the small number of elements needed to simulate realistically the global properties of the halfspace make this procedure one of the most interesting applications of the BIEM.

Effect of control method on impedance-based interactions in a buck converter

All the interconnected regulated systems are prone to impedance-based interactions making them sensitive to instability and transient-performance degradation. The applied control method affects significantly the characteristics of the converter in terms of sensitivity to different impedance interactions. This paper provides for the first time the whole set of impedance-type internal parameters and the formulas according to which the interaction sensitivity can be fully explained and analyzed. The formulation given in this paper can be utilized equally either based on measured frequency responses or on predicted analytic transfer functions. Usually, the distributed dc-dc systems are constructed by using ready-made power modules without having thorough knowledge on the actual power-stage and control-system designs. As a consequence, the interaction characterization has to be based on the frequency responses measureable via the input and output terminals. A buck converter with four different control methods is experimentally characterized in frequency domain to demonstrate the effect of control method on the interaction sensitivity. The presented analytical models are used to explain the phenomena behind the changes in the interaction sensitivity.