Periodic orbits of the planar collision restricted 3-body problem

Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3–body problem. Additionally, we also continue to this restricted problem the so called “comets orbits”.

Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem

The paper is devoted to the study of a type of differential systems which appear usually in the study of some Hamiltonian systems with 2 degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. All these periodic orbits pass near the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collinear 3–body problem.

Evidence on the determinants of foreign direct investment: the case of three european regions

This study aims at analyzing the determinants of FDI (foreign direct investment) inflows for a group of European regions. The originality of this approach lies in the use of disaggregated regional data. First, we develop a qualitative description of our database and discuss the importance of the macroeconomic determinants in attracting FDI. Then, we provide an econometric exercise to identify the potential determinants of FDI. In spite of choosing regions presenting economic similarities, we show that regional FDI inflows rely on a combination of factors that differs from one region to another.

When ESDP confronts ENP: security sector reform as a bridge in the EU’s foreign policy

The European Neighbourhood Policy’s birth has taken place in parallel with the renewed momentum of the European Security and Defence Policy, which has launched 14 operations since 2003. Both policies’ instruments have converged in the neighbouring area covered by ENP: Georgia, in the East and the Palestinian Territories in the South. In both cases, the Security Sector Reform strategies have been the main focus for ESDP and an important objective for ENP. In this paper, two objectives are pursued: first, to assess the EU’s involvement in both cases in SSR terms; and second, to analyse whether the convergence of ESDP operations with a broader EU neighbourhood policy implies that the former has become an instrument for the a EU external action.

EU foreign policy towards Georgia: just for energy?

The paper analyses how the EU foreign policy towards Georgia changed after the Rose Revolution, reaching greater levels of involvement and assistance. It is argued that the pro-western and reformist new government in Georgia triggered a new orientation in the EU foreign policy towards the country based on a logic of appropriateness, that is EU´s values, in addition to energy interests. Comparative analysis in the Southern-Caucasus and other Eastern-European countries shows how reformist and pro-EU governments receive more EU support and assistance. This does not mean that material interest do not play an important role. However, the EU seems to be coherent with its values when regarding the European neighbourhood.

Market effects of foreign exchange coordinated intervention

In this article we develop a theoretical microstructure model of coordinated central bank intervention based on asymmetric information. We study the economic implications of coordination on some measures of market quality and show that the model predicts higher volatility and more significant exchange rate changes when central banks coordinate compared to when they intervene unilaterally. Both these predictions are in line with empirical evidence. Keywords: coordinated foreign exchange intervention, market microstructure. JEL Classification: D82, E58, F31, G14

Mecanismes de reacció de sistemes catalítics amb èmfasi en carbens de Fischer i quantificació de l'aromaticitat en petites molècules inorgàniques cícliques i planes.

El tema principal del treball és sobre l'estudi teòric de l'estructura i reactivitat en carbens de Fischer de la forma (CO)5Cr=C(X)R (X= OH, NH2, OMe, NMe2 i R= CHCH2 i Ph). Particularment, el nostre interès va sorgir del tipus de reaccions de cicloadicció que donen lloc a la síntesi de productes naturals i fàrmacs de gran valor afegit. Hem estudiat els mecanismes de reacció dels casos més comuns de cicloanul•lació: la reacció de benzanul•lació de Dötz i ciclopentanulacions que es troben en competència amb el primer cas, derivats de l'inserció de acetilè i fenilacetilè. En l'últim pas de les reaccions que comporten la formació d'un sistema de més d'un anell, hi tenim una migració del complex metàl•lic de crom d'un extrem a un altre anomenat com rearranjament haptotròpic. Aleshores, hem investigat sobre els mecanismes de migració haptotròpica de Cr(CO)3 sobre hidrocarburs aromàtics policíclics analitzant l'efecte de la mida i la curvatura del sistema així com la complexació d'un segon fragment metàl•lic a la manera de coordinació als anells. D'una altre banda, vam estudiar l'aromaticitat en 54 cúmuls cíclics de molecules inorgàniques mitjançant metodologia desenvolupada al nostre grup de recerca i altres. Vam proposar la tècnica del scan-NICS com nova mesura quantitativa d'aromaticitat i reportar l'escassa correlació entre els distints índexs d'aromaticitat a la literatura. Finalment, com resultat de col•laboracions en estades de recerca, he desenvolupat propostes de mecanismes de reacció en sistemes catalítics de isonitrils i fosfinetà-amides i en dímers de gassos nobles.

Authoritarian Responses to Foreign Pressure: Spending, Repression, and Sanctions

This paper explores how international sanctions affect authoritarian rulers’ decisions concerning repression and public spending composition, and how different authoritarian rulers respond to foreign pressure. If sanctions are assumed to increase the price of loyalty to the regime, then rulers whose budgets are not severely constrained by sanctions will tend to increase spending in those categories that most benefit their core support groups. In contrast, when constraints are severe due to reduced aid and trade, dictators are expected to greatly increase their levels of repression. Using data on regime types, public expenditures and spending composition (1970–2000) as well as on repression levels (1976–2001), we show that the empirical patterns conform well to our theoretical expectations. Single-party regimes, when targeted by sanctions, increase spending on subsidies and transfers which largely benefit more substantial sectors of the population and especially the urban classes. Likewise, military regimes increase their expenditures on goods and services, which include military equipment and soldiers’ and officers’ wages. Conversely, personalist regimes reduce spending in all categories, especially capital expenditures, while increasing repression much more than other regime types when targeted by sanctions.

Análisis de rendimiento de aplicaciones paralelas de memoria compartida: problema N-body

Este trabajo analiza el rendimiento de cuatro nodos de cómputo multiprocesador de memoria compartida para resolver el problema N-body. Se paraleliza el algoritmo serie, y se codifica usando el lenguaje C extendido con OpenMP. El resultado son dos variantes que obedecen a dos criterios de optimización diferentes: minimizar los requisitos de memoria y minimizar el volumen de cómputo. Posteriormente, se realiza un proceso de análisis de las prestaciones del programa sobre los nodos de cómputo. Se modela el rendimiento de las variantes secuenciales y paralelas de la aplicación, y de los nodos de cómputo; se instrumentan y ejecutan los programas para obtener resultados en forma de varias métricas; finalmente se muestran e interpretan los resultados, proporcionando claves que explican ineficiencias y cuellos de botella en el rendimiento y posibles líneas de mejora. La experiencia de este estudio concreto ha permitido esbozar una incipiente metodología de análisis de rendimiento, identificación de problemas y sintonización de algoritmos a nodos de cómputo multiprocesador de memoria compartida.

Rigorous derivation of a nonlinear diffusion equation as fast-reaction limit of a continuous coagulation-fragmentation model with diffusion

Weak solutions of the spatially inhomogeneous (diffusive) Aizenmann-Bak model of coagulation-breakup within a bounded domain with homogeneous Neumann boundary conditions are shown to converge, in the fast reaction limit, towards local equilibria determined by their mass. Moreover, this mass is the solution of a nonlinear diffusion equation whose nonlinearity depends on the (size-dependent) diffusion coefficient. Initial data are assumed to have integrable zero order moment and square integrable first order moment in size, and finite entropy. In contrast to our previous result [CDF2], we are able to show the convergence without assuming uniform bounds from above and below on the number density of clusters.

Destruction of invariant curves in the restricted circular planar three body problem using comparison of action

"Vegeu el resum a l'inici del document del fitxer adjunt."

Civil war and foreign influence

We study a symmetric information bargaining model of civil war where a third (foreign) party can affect the probabilities of winning the conflict and the size of the post conflict spoils. We show that the possible alliance with a third party makes peaceful agreements difficult to reach and might lead to new commitment problems that trigger war. Also, we argue that the foreign party is likely to induce persistent informational asymmetries which might explain long lasting civil wars. We explore both political and economic incentives for a third party to intervene. The explicit consideration of political incentives leads to two predictions that allow for identifying the influence of foreign intervention on civil war incidence. Both predictions are confirmed for the case of the U.S. as a potential intervening nation: (i) civil wars around the world are more likely under Republican governments and (ii) the probability of civil wars decreases with U.S. presidential approval rates.

Stabilized Petrov-Galerkin methods for the convection-diffusion-reaction and the Helmholtz equations

We present two new stabilized high-resolution numerical methods for the convection–diffusion–reaction (CDR) and the Helmholtz equations respectively. The work embarks upon a priori analysis of some consistency recovery procedures for some stabilization methods belonging to the Petrov–Galerkin framework. It was found that the use of some standard practices (e.g. M-Matrices theory) for the design of essentially non-oscillatory numerical methods is not feasible when consistency recovery methods are employed. Hence, with respect to convective stabilization, such recovery methods are not preferred. Next, we present the design of a high-resolution Petrov–Galerkin (HRPG) method for the 1D CDR problem. The problem is studied from a fresh point of view, including practical implications on the formulation of the maximum principle, M-Matrices theory, monotonicity and total variation diminishing (TVD) finite volume schemes. The current method is next in line to earlier methods that may be viewed as an upwinding plus a discontinuity-capturing operator. Finally, some remarks are made on the extension of the HRPG method to multidimensions. Next, we present a new numerical scheme for the Helmholtz equation resulting in quasi-exact solutions. The focus is on the approximation of the solution to the Helmholtz equation in the interior of the domain using compact stencils. Piecewise linear/bilinear polynomial interpolation are considered on a structured mesh/grid. The only a priori requirement is to provide a mesh/grid resolution of at least eight elements per wavelength. No stabilization parameters are involved in the definition of the scheme. The scheme consists of taking the average of the equation stencils obtained by the standard Galerkin finite element method and the classical finite difference method. Dispersion analysis in 1D and 2D illustrate the quasi-exact properties of this scheme. Finally, some remarks are made on the extension of the scheme to unstructured meshes by designing a method within the Petrov–Galerkin framework.

Analyzing complexity in foreign language monologic oral production in a CLIL context

The study tested three analytic tools applied in SLA research (T-unit, AS-unit and Idea-unit) against FL learner monologic oral data. The objective was to analyse their effectiveness for the assessment of complexity of learners' academic production in English. The data were learners' individual productions gathered during the implementation of a CLIL teaching sequence on Natural Sciences in a Catalan state secondary school. The analysis showed that only AS-unit was easily applicable and highly effective in segmenting the data and taking complexity measures

Teaching foreign languages through translation: considering multiple intelligences

Aquest treball de recerca tracta de la relació existent entre pedagogia, traducció, llengües estrangeres i intel•ligències múltiples. El debat sobre si la traducció és una eina útil a la classe de llengües estrangeres és un tema actual sobre el qual molts investigadors encara indaguen. Estudis recents, però, han demostrat que qualsevol tasca de traducció -en la qual s’hi poden incloure treballs amb les diferents habilitats- és profitosa si la considerem un mitjà, no una finalitat en ella mateixa. Evidentment, l’ús de la traducció dins l’aula és avantatjosa, però també hem de tenir presents certs desavantatges d’aquesta aplicació. Un possible desavantatge podria ser la creença que, al principi, molta gent té referent a l’equivalència, paraula per paraula, d’una llengua vers una altra. Però després de presentar vàries tasques de traducció als estudiants, aquests poden arribar a controlar, fins i tot, les traduccions inconscients i poden assolir un cert nivell de precisió i flexibilitat que val la pena mencionar. Però l’avantatge principal és que s’enfronten a una activitat molt estesa dins la societat actual que combina dues llengües, la llengua materna i la llengua objecte d’estudi, per exemple. De tot això en podem deduir que utilitzar la llengua materna a la classe no s’ha de considerar un crim, com fins ara, sinó una virtut, evidentment si és emprada correctament. En aquest treball de recerca s’hi pot trobar una síntesi tant de les principals teories d’adquisició i aprenentatge de llengües com de les teories de traducció. A la pregunta de si les teories, tant de traducció com de llengües estrangeres, s’haurien d’ensenyar implícita o explícitament, es pot inferir que segons el nivell d’estudis on estiguin els aprenents els convindrà aprendre les teories explícitament o les aprendran, de totes maneres, implícitament. Com que qualsevol grup d’estudiants és heterogeni -és a dir que cada individu té un ritme i un nivell d’aprenentatge concret i sobretot cadascú té diferents estils de percepció (visual, auditiu, gustatiu, olfactiu, de moviment) i per tant diferents intel•ligències-, els professors ho han de tenir en compte a l’hora de planificar qualsevol programa d’actuació vers els alumnes. Per tant, podem concloure que les tasques o projectes de traducció poden ajudar als alumnes a aprendre millor, més eficaçment i a aconseguir un aprenentatge més significatiu.