Adaptation de la phase de planification et d’initiation du mouvement d’atteinte visuellement guidé à différentes dissociations visuomotrices.

L’hypothèse générale de ce projet soutient que le système moteur doit performer des transformations sensorimotrices afin de convertir les entrées sensorielles, concernant la position de la cible à atteindre, en commande motrice, afin de produire un mouvement du bras et de la main vers la cible à atteindre. Ce type de conversion doit être fait autant au niveau de la planification du mouvement que pour une éventuelle correction d’erreur de planification ou d’un changement inopiné de la position de la cible. La question de recherche du présent mémoire porte sur le ou les mécanismes, circuits neuronaux, impliqués dans ce type de transformation. Y a-t-il un seul circuit neuronal qui produit l’ensemble des transformations visuomotrices entre les entrées sensorielles et les sorties motrices, avant l’initiation du mouvement et la correction en temps réel du mouvement, lorsqu’une erreur ou un changement inattendu survient suite à l’initiation, ou sont-ils minimalement partiellement indépendants sur le plan fonctionnel? L’hypothèse de travail suppose qu’il n’y ait qu’un seul circuit responsable des transformations sensorimotrices, alors l’analyse des résultats obtenus par les participants devrait démontrer des changements identiques dans la performance pendant la phase de planification du mouvement d’atteinte et la phase de correction en temps réel après l’adaptation à des dissociations sensorimotrices arbitraires. L’approche expérimentale : Dans la perspective d’examiner cette question et vérifier notre hypothèse, nous avons jumelé deux paradigmes expérimentaux. En effet, les mouvements d’atteinte étaient soumis à une dissociation visuomotrice ainsi qu’à de rares essais composés de saut de cible. L’utilisation de dissociation visuomotrice permettait d’évaluer le degré d’adaptation des mécanismes impliqués dans le mouvement atteint. Les sauts de cible avaient l’avantage de permettre d’examiner la capacité d’adaptation à une dissociation visuomotrice des mécanismes impliqués dans la correction du mouvement (miroir : sur l’axe y, ou complète : inversion sur les axes x et y). Les résultats obtenus lors des analyses effectuées dans ce mémoire portent exclusivement sur l’habileté des participants à s’adapter aux deux dissociations visuomotrices à la première phase de planification du mouvement. Les résultats suggèrent que les mécanismes de planification du mouvement possèdent une grande capacité d’adaptation aux deux différentes dissociations visuomotrices. Les conclusions liées aux analyses présentées dans ce mémoire suggèrent que les mécanismes impliqués dans la phase de planification et d’initiation du mouvement parviennent relativement bien à s’adapter aux dissociations visuomotrices, miroir et inverse. Bien que les résultats démontrent une certaine distinction, entre les deux groupes à l’étude, quant aux délais nécessaires à cette adaptation, ils illustrent aussi un taux d’adaptation finale relativement similaire. L’analyse des réponses aux sauts de cible pourra être comparée aux résultats présentés dans ce mémoire afin de répondre à l’hypothèse de travail proposée par l’objectif initial de l’étude.

Dissipation in quasistatically driven disordered systems

This work presents an analysis of hysteresis and dissipation in quasistatically driven disordered systems. The study is based on the random field Ising model with fluctuationless dynamics. It enables us to sort out the fraction of the energy input by the driving field stored in the system and the fraction dissipated in every step of the transformation. The dissipation is directly related to the occurrence of avalanches, and does not scale with the size of Barkhausen magnetization jumps. In addition, the change in magnetic field between avalanches provides a measure of the energy barriers between consecutive metastable states

An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains

We present an immersed interface method for the incompressible Navier Stokes equations capable of handling rigid immersed boundaries. The immersed boundary is represented by a set of Lagrangian control points. In order to guarantee that the no-slip condition on the boundary is satisfied, singular forces are applied on the fluid at the immersed boundary. The forces are related to the jumps in pressure and the jumps in the derivatives of both pressure and velocity, and are interpolated using cubic splines. The strength of singular forces is determined by solving a small system of equations at each time step. The Navier-Stokes equations are discretized on a staggered Cartesian grid by a second order accurate projection method for pressure and velocity.

Modelo telegráfico de valoración de opciones

En este trabajo construimos un modelo de mercado financiero basado en un proceso telegráfico más un proceso de saltos para la valoración de opciones Europeas. Vamos a asumir que el tamaño de los saltos es constante y después que es aleatorio, en ambos casos estos saltos ocurren cuando la tendencia del mercado cambia. Estos modelos capturan la dinámica del mercado en periodos con presencia de ciclos financieros. Mostraremos la estructura del conjunto de medidas neutrales al riesgo, además, de fórmulas explícitas para los precios de las opciones Europeas de venta y compra.

Probabilidad de ruina con un modelo de riesgo Markov-modulado y propiedades del proceso telegráfico

En esta tesis se entiende la intuición y las matemáticas del modelo generalizado de la teoría de la ruina, expuesto por Li y Lu quienes se remiten a los cálculos de la probabilidad de ruina de Reinhard. Teniendo en cuenta las definiciones, la media y la varianza del proceso telegráfico con saltos encontradas en la tesis doctoral de Óscar López. Luego se simula el proceso de riesgo y finalmente con un ejemplo se calcula la probabilidad de ruina numéricamente. Todo el proceso se va a realizar teniendo en cuenta reclamaciones con distribución exponencial.

A Jump Telegraph Model for Option Pricing

In this paper we introduce a financial market model based on continuos time random motions with alternanting constant velocities and with jumps ocurring when the velocity switches. if jump directions are in the certain corresondence with the velocity directions of the underlyng random motion with respect to the interest rate, the model is free of arbitrage. The replicating strategies for options are constructed in details. Closed form formulas for the opcion prices are obtained.

Quantil Hedging for telegraph markets and its applications to a pricing of equity-linked life insurance contracts

En este documento está desarrollado un modelo de mercado financiero basado en movimientos aleatorios con tiempo continuo, con velocidades constantes alternantes y saltos cuando hay cambios en la velocidad. Si los saltos en la dirección tienen correspondencia con la dirección de la velocidad del comportamiento aleatorio subyacente, con respecto a la tasa de interés, el modelo no presenta arbitraje y es completo. Se construye en detalle las estrategias replicables para opciones, y se obtiene una presentación cerrada para el precio de las opciones. Las estrategias de cubrimiento quantile para opciones son construidas. Esta metodología es aplicada al control de riesgo y fijación de precios de instrumentos de seguros.

Pressure-jump-induced kinetics reveals a hydration dependent folding/unfolding mechanism of ribonuclease A

Pressure-jump (p-jump)-induced relaxation kinetics was used to explore the energy landscape of protein folding/unfolding of Y115W, a fluorescent variant of ribonuclease A. Pressure-jumps of 40MPa amplitude (5ms dead-time) were conducted both to higher (unfolding) and to lower (folding) pressure, in the range from 100 to 500MPa, between 30 and 50°C. Significant deviations from the expected symmetrical protein relaxation kinetics were observed. Whereas downward p-jumps resulted always in single exponential kinetics, the kinetics induced by upward p-jumps were biphasic in the low pressure range and monophasic at higher pressures. The relative amplitude of the slow phase decreased as a function of both pressure and temperature. At 50°C, only the fast phase remained. These results can be interpreted within the framework of a two-dimensional energy surface containing a pressure- and temperature-dependent barrier between two unfolded states differing in the isomeric state of the Asn-113–Pro-114 bond. Analysis of the activation volume of the fast kinetic phase revealed a temperature-dependent shift of the unfolding transition state to a larger volume. The observed compensation of this effect by glycerol offers an explanation for its protein stabilizing effect

Modelling, control and supervision for a class of hybrid systems

The aim of this thesis is to narrow the gap between two different control techniques: the continuous control and the discrete event control techniques DES. This gap can be reduced by the study of Hybrid systems, and by interpreting as Hybrid systems the majority of large-scale systems. In particular, when looking deeply into a process, it is often possible to identify interaction between discrete and continuous signals. Hybrid systems are systems that have both continuous, and discrete signals. Continuous signals are generally supposed continuous and differentiable in time, since discrete signals are neither continuous nor differentiable in time due to their abrupt changes in time. Continuous signals often represent the measure of natural physical magnitudes such as temperature, pressure etc. The discrete signals are normally artificial signals, operated by human artefacts as current, voltage, light etc. Typical processes modelled as Hybrid systems are production systems, chemical process, or continuos production when time and continuous measures interacts with the transport, and stock inventory system. Complex systems as manufacturing lines are hybrid in a global sense. They can be decomposed into several subsystems, and their links. Another motivation for the study of Hybrid systems is the tools developed by other research domains. These tools benefit from the use of temporal logic for the analysis of several properties of Hybrid systems model, and use it to design systems and controllers, which satisfies physical or imposed restrictions. This thesis is focused in particular types of systems with discrete and continuous signals in interaction. That can be modelled hard non-linealities, such as hysteresis, jumps in the state, limit cycles, etc. and their possible non-deterministic future behaviour expressed by an interpretable model description. The Hybrid systems treated in this work are systems with several discrete states, always less than thirty states (it can arrive to NP hard problem), and continuous dynamics evolving with expression: with Ki ¡ Rn constant vectors or matrices for X components vector. In several states the continuous evolution can be several of them Ki = 0. In this formulation, the mathematics can express Time invariant linear system. By the use of this expression for a local part, the combination of several local linear models is possible to represent non-linear systems. And with the interaction with discrete events of the system the model can compose non-linear Hybrid systems. Especially multistage processes with high continuous dynamics are well represented by the proposed methodology. Sate vectors with more than two components, as third order models or higher is well approximated by the proposed approximation. Flexible belt transmission, chemical reactions with initial start-up and mobile robots with important friction are several physical systems, which profits from the benefits of proposed methodology (accuracy). The motivation of this thesis is to obtain a solution that can control and drive the Hybrid systems from the origin or starting point to the goal. How to obtain this solution, and which is the best solution in terms of one cost function subject to the physical restrictions and control actions is analysed. Hybrid systems that have several possible states, different ways to drive the system to the goal and different continuous control signals are problems that motivate this research. The requirements of the system on which we work is: a model that can represent the behaviour of the non-linear systems, and that possibilities the prediction of possible future behaviour for the model, in order to apply an supervisor which decides the optimal and secure action to drive the system toward the goal. Specific problems can be determined by the use of this kind of hybrid models are: - The unity of order. - Control the system along a reachable path. - Control the system in a safe path. - Optimise the cost function. - Modularity of control The proposed model solves the specified problems in the switching models problem, the initial condition calculus and the unity of the order models. Continuous and discrete phenomena are represented in Linear hybrid models, defined with defined eighth-tuple parameters to model different types of hybrid phenomena. Applying a transformation over the state vector : for LTI system we obtain from a two-dimensional SS a single parameter, alpha, which still maintains the dynamical information. Combining this parameter with the system output, a complete description of the system is obtained in a form of a graph in polar representation. Using Tagaki-Sugeno type III is a fuzzy model which include linear time invariant LTI models for each local model, the fuzzyfication of different LTI local model gives as a result a non-linear time invariant model. In our case the output and the alpha measure govern the membership function. Hybrid systems control is a huge task, the processes need to be guided from the Starting point to the desired End point, passing a through of different specific states and points in the trajectory. The system can be structured in different levels of abstraction and the control in three layers for the Hybrid systems from planning the process to produce the actions, these are the planning, the process and control layer. In this case the algorithms will be applied to robotics ¡V a domain where improvements are well accepted ¡V it is expected to find a simple repetitive processes for which the extra effort in complexity can be compensated by some cost reductions. It may be also interesting to implement some control optimisation to processes such as fuel injection, DC-DC converters etc. In order to apply the RW theory of discrete event systems on a Hybrid system, we must abstract the continuous signals and to project the events generated for these signals, to obtain new sets of observable and controllable events. Ramadge & Wonham¡¦s theory along with the TCT software give a Controllable Sublanguage of the legal language generated for a Discrete Event System (DES). Continuous abstraction transforms predicates over continuous variables into controllable or uncontrollable events, and modifies the set of uncontrollable, controllable observable and unobservable events. Continuous signals produce into the system virtual events, when this crosses the bound limits. If this event is deterministic, they can be projected. It is necessary to determine the controllability of this event, in order to assign this to the corresponding set, , controllable, uncontrollable, observable and unobservable set of events. Find optimal trajectories in order to minimise some cost function is the goal of the modelling procedure. Mathematical model for the system allows the user to apply mathematical techniques over this expression. These possibilities are, to minimise a specific cost function, to obtain optimal controllers and to approximate a specific trajectory. The combination of the Dynamic Programming with Bellman Principle of optimality, give us the procedure to solve the minimum time trajectory for Hybrid systems. The problem is greater when there exists interaction between adjacent states. In Hybrid systems the problem is to determine the partial set points to be applied at the local models. Optimal controller can be implemented in each local model in order to assure the minimisation of the local costs. The solution of this problem needs to give us the trajectory to follow the system. Trajectory marked by a set of set points to force the system to passing over them. Several ways are possible to drive the system from the Starting point Xi to the End point Xf. Different ways are interesting in: dynamic sense, minimum states, approximation at set points, etc. These ways need to be safe and viable and RchW. And only one of them must to be applied, normally the best, which minimises the proposed cost function. A Reachable Way, this means the controllable way and safe, will be evaluated in order to obtain which one minimises the cost function. Contribution of this work is a complete framework to work with the majority Hybrid systems, the procedures to model, control and supervise are defined and explained and its use is demonstrated. Also explained is the procedure to model the systems to be analysed for automatic verification. Great improvements were obtained by using this methodology in comparison to using other piecewise linear approximations. It is demonstrated in particular cases this methodology can provide best approximation. The most important contribution of this work, is the Alpha approximation for non-linear systems with high dynamics While this kind of process is not typical, but in this case the Alpha approximation is the best linear approximation to use, and give a compact representation.

Aplicação dos programas nacionais de Educação Física em ginástica : condicionantes

Durante 15 anos, observando requerentes nas provas de acesso à licenciatura em Educação Física e Desporto, chegamos á conclusão de que maioria deles tem preparação gímnica básica muito fraca. Eles apresentam grandes lacunas tanto no conhecimento da técnica como na execução prática dos elementos gímnicos, constantes do Programa Escolar. Naturalmente, o nosso desejo foi descobrir as razões para esta deficiente preparação gímnica e contribuir para melhorar o processo ensino-aprendizagem nas escolas. Mais especificamente, neste estudo procurou-se, junto aos professores que leccionam nas escolas, averiguar alguns aspectos relacionados com a aplicação dos programas nacionais de Educação Física de Ginástica no 3º ciclo do Ensino Básico e Ensino Secundário. Para isso elaboramos um questionário ao qual responderam 88 professores em 14 escolas de Lisboa e Almada. Conclusões. A maioria dos professores, participantes no nosso estudo, não aborda mais que metade dos elementos constantes dos Programas de ginástica, especialmente os elementos nos aparelhos (barra fixa, paralelas simétricas, argolas, cavalo com arções), saltos no plinto longitudinal, mortais no mini-trampolim, elementos do nível avançado no solo e trave. A maior dificuldade na aplicação do Programa de Educação Física é o facto de a grande maioria dos alunos não possuir os pré-requisitos na ginástica, que deveriam ser adquiridos no 1º e 2º ciclos de Escola Básica, tanto no desenvolvimento das habilidades e hábitos motores de base, como ao nível de preparação física. Uma percentagem considerável dos professores tem dificuldades relacionadas com os conhecimentos técnico-didácticos, especialmente na intervenção manual (48%). Por isso, é muito importante existência mais acções de formação especificas da ginástica. Através da análise dos dados recolhidos referenciamos os elementos gímnicos que apresentam maiores dificuldades na leccionação e elaboramos as fichas com descrição completa da técnica da execução destes elementos, progressões metodológicas, indicamos os erros típicos e recomendamos a forma de intervenção manual do professores. Com este trabalho pretendemos poder ajudar os estudantes e professores, que iniciam a sua carreira profissional, a encontrar uma forma mais eficaz no ensino dos elementos gímnicos, constantes do Programa Escolar.

A shock capturing scheme for steady, supercritical, free-surface flow

Abstract A finite difference scheme is presented for the solution of the two-dimensional shallow water equations in steady, supercritical flow. The scheme incorporates numerical characteristic decomposition, is shock capturing by design and incorporates space-marching as a result of the assumption that the flow is wholly supercritical in at least one space dimension. Results are shown for problems involving oblique hydraulic jumps and reflection from a wall.

Shock capturing scheme for steady, supersonic, isentropic flow

A finite difference scheme is presented for the solution of the two-dimensional equations of steady, supersonic, isentropic flow. The scheme incorporates numerical characteristic decomposition, is shock-capturing by design and incorporates space marching as a result of the assumption that the flow is wholly supersonic in at least one space dimension. Results are shown for problems involving oblique hydraulic jumps and reflection from a wall.

A finite difference scheme for steady, supersonic, two-dimensional, compressible flow of real gases

A finite difference scheme is presented for the solution of the two-dimensional equations of steady, supersonic, compressible flow of real gases. The scheme incorparates numerical characteristic decomposition, is shock-capturing by design and incorporates space-marching as a result of the assumption that the flow is wholly supersonic in at least one space dimension. Results are shown for problems involving oblique hydraulic jumps and reflection from a wall.

The power of NMR. Part 1: the beginnings

Nuclear mnagnetic resonance (NMR) spectroscopy involves the excitation of nuclei by electromagnetic radiation in the radio-frequency range of the electromagnetic spectrum. For a nucleus to absorb energy from radiowaves in this way, it must hve the quantum mechanical property of spin. A spinning nucleus, such as that of the hydrogen atom, will dopt one f only two possible states when placed in a magnetic field. (In NMR, the hydrogen nucleus is often referred to as a proton, and is given the abbreviation 1H.) Az the strength of the magnetic field is increased, there is a proportional increase in the energy 'gap' between these two states. We can predic the resonant frequency at which any spinning nucleus will absorb energy from radio-frequency radiation as it jumps from the lower energy state to the upper state.

Stochastic volatility jump-diffusions for European equity index dynamics

Major research on equity index dynamics has investigated only US indices (usually the S&P 500) and has provided contradictory results. In this paper a clarification and extension of that previous research is given. We find that European equity indices have quite different dynamics from the S&P 500. Each of the European indices considered may be satisfactorily modelled using either an affine model with price and volatility jumps or a GARCH volatility process without jumps. The S&P 500 dynamics are much more difficult to capture in a jump-diffusion framework.