Symmetric periodic orbits near a heteroclinic loop in R3 formed by two singular points, a semistable periodic orbit and their invariant manifolds

In this paper we consider C1 vector fields X in R3 having a “generalized heteroclinic loop” L which is topologically homeomorphic to the union of a 2–dimensional sphere S2 and a diameter connecting the north with the south pole. The north pole is an attractor on S2 and a repeller on . The equator of the sphere is a periodic orbit unstable in the north hemisphere and stable in the south one. The full space is topologically homeomorphic to the closed ball having as boundary the sphere S2. We also assume that the flow of X is invariant under a topological straight line symmetry on the equator plane of the ball. For each n ∈ N, by means of a convenient Poincar´e map, we prove the existence of infinitely many symmetric periodic orbits of X near L that gives n turns around L in a period. We also exhibit a class of polynomial vector fields of degree 4 in R3 satisfying this dynamics.

Effects of coastal submarine canyons on tsunami propagation and impact

We analyse the variations produced on tsunami propagation and impact over a straight coastline because of the presence of a submarine canyon incised in the continental margin. For ease of calculation we assume that the shoreline and the shelf edge are parallel and that the incident wave approaches them normally. A total of 512 synthetic scenarios have been computed by combining the bathymetry of a continental margin incised by a parameterised single canyon and the incident tsunami waves. The margin bathymetry, the canyon and the tsunami waves have been generated using mathematical functions (e.g. Gaussian). Canyon parameters analysed are: (i) incision length into the continental shelf, which for a constant shelf width relates directly to the distance from the canyon head to the coast, (ii) canyon width, and (iii) canyon orientation with respect to the shoreline. Tsunami wave parameters considered are period and sign. The COMCOT tsunami model from Cornell University was applied to propagate the waves across the synthetic bathymetric surfaces. Five simulations of tsunami propagation over a non-canyoned margin were also performed for reference. The analysis of the results reveals a strong variation of tsunami arrival times and amplitudes reaching the coastline when a tsunami wave travels over a submarine canyon, with changing maximum height location and alongshore extension. In general, the presence of a submarine canyon lowers the arrival time to the shoreline but prevents wave build-up just over the canyon axis. This leads to a decrease in tsunami amplitude at the coastal stretch located just shoreward of the canyon head, which results in a lower run-up in comparison with a non-canyoned margin. Contrarily, an increased wave build-up occurs on both sides of the canyon head, generating two coastal stretches with an enhanced run-up. These aggravated or reduced tsunami effects are modified with (i) proximity of the canyon tip to the coast, amplifying the wave height, (ii) canyon width, enlarging the areas with lower and higher maximum height wave along the coastline, and (iii) canyon obliquity with respect to the shoreline and shelf edge, increasing wave height shoreward of the leeward flank of the canyon. Moreover, the presence of a submarine canyon near the coast produces a variation of wave energy along the shore, eventually resulting in edge waves shoreward of the canyon head. Edge waves subsequently spread out alongshore reaching significant amplitudes especially when coupling with tsunami secondary waves occurs. Model results have been groundtruthed using the actual bathymetry of Blanes Canyon area in the North Catalan margin. This paper underlines the effects of the presence, morphology and orientation of submarine canyons as a determining factor on tsunami propagation and impact, which could prevail over other effects deriving from coastal configuration.

Simulating Communication Routes in Mediterranean Alluvial Plains

Societies exchange knowledge, ideas and merchandise throughout their territories. Topography plays a fundamental role in the trajectory of such movements whilst helping to explain the distribution of human constructions. Standard GIS functions have been employed widely to simulate communication routes between settlements, but the straight application of published least cost route models proved inadequate for Mediterranean alluvial plain areas in which seasonal floods become an important factor to acknowledge. The objective of this study is the production of a new model, using topographic and hydrologic factors as variables from which it would be possible to simulate a route, and test it against known Roman itineraries. The selected Roman stretches are Girona – Coll de Pannisars and Tarragona – Montblanc. The new model shows the need to consider each case individually but also stresses the hydrologic factor, expressed in seasonal floods, as being of prime importance in the creation and development of Roman roads in Mediterranean alluvial plains.

Supremacía del derecho federal sobre el Common Law en materia de requisitos de seguridad y eficacia terapéutica de productos sanitarios. Comentario a Riegel v. Medtronic, Inc. [552 U.S.__ (2008); February 20, 2008]

En Riegel v. Medtronic Inc. (552 U.S.__2008; February 20, 2008), el Sr. Riegel tuvo que ser sometido a un by-pass como consecuencia de la rotura del catéter, fabricado por Medtronic, con el que su médico le practicaba una angioplastia. A pesar de que el catéter había obtenido la autorización de comercialización de la FDA y cumplía los requisitos de seguridad previstos por el sistema regulatorio federal, el Sr. Riegel y su mujer interpusieron una acción de daños contra Medtronic –y no contra el médico- conforme a las reglas de responsabilidad civil objetiva y por negligencia del Common Law neoyorquino. Sin embargo, el Tribunal Supremo federal de los EE.UU., en ponencia del Magistrado Antonin Gregory Scalia, votó, por mayoría de ocho magistrados, rechazar el recurso de la Sra. Riegel y confirmar la sentencia de segunda instancia, desestimatoria de la demanda, porque consideró que la regla de primacía del derecho regulatorio federal sobre seguridad de productos sanitarios [Medical Device Amendments de 1976, 21 U.S.C. Artículo 360k(a)] excluye la aplicabilidad no sólo del derecho regulatorio estatal sobre seguridad de productos sanitarios, sino también del Common Law sobre responsabilidad civil del fabricante.

Measuring oscillating walking paths with a LIDAR

This work describes the analysis of different walking paths registered using a Light Detection And Ranging (LIDAR) laser range sensor in order to measure oscillating trajectories during unsupervised walking. The estimate of the gait and trajectory parameters were obtained with a terrestrial LIDAR placed 100 mm above the ground with the scanning plane parallel to the floor to measure the trajectory of the legs without attaching any markers or modifying the floor. Three different large walking experiments were performed to test the proposed measurement system with straight and oscillating trajectories. The main advantages of the proposed system are the possibility to measure several steps and obtain average gait parameters and the minimum infrastructure required. This measurement system enables the development of new ambulatory applications based on the analysis of the gait and the trajectory during a walk.

Catheterisation. Indwelling catheters in adults. Urethral and suprapubic. Evidence-based guidelines for best practice in urological health care

The EAUN Guidelines Working Group for indwelling catheters have prepared this guideline document to help nurses assess the evidence-based management of catheter care and to incorporate the guidelines’ recommendations into their clinical practice. These guidelines are not meant to be proscriptive, nor will adherence to these guidelines guarantee a successful outcome in all cases. Ultimately, decisions regarding care must be made on a case-by-case basis by healthcare professionals after consultation with their patients using their clinical judgement, knowledge and expertise.

Caciquisme rural i contrautopies pageses. Testimonis d'unes cobles de la Conca de Barberà i del Priorat

Aquest article presenta i estudia un conjunt de cobles de la tradició oral recollides a la Conca de Barberà i al Priorat. Les cançons, creades en el marc de la Restauració, denuncien un conjunt de greuges lligats al caciquisme i al desenvolupament de l’Estat i de les relacions capitalistes que aquest fomenta. Les cobles presenten dos grans registres expressius, que obeeixen a diferents perspectives dels greuges que denuncien. D’una banda tenim unes cobles caracteritzades per una sàtira violenta, dreturera, una sintaxi cantelluda, antítesis primàries, i un recurs viu a les deformacions de l’adversari. En aquests casos, les lletres obeeixen a factors percebuts en la immediatesa de la comunitat, d’acord amb una perspectiva tradicional. D’altra banda, tenim cobles que es caracteritzen per un relaxament còmic i jocós de la sàtira, per una major narrativitat o arromançament, i també per una catarsi benèfica. En aquests casos, les cançons responen a un nou ordre de factors —polítics/política de partit, representants de l’Estat, noves modes estètiques, etc.— que en la societat rural, especialment entre aquells sectors poc introduïts a la modernitat, són percebuts amb una amplitud panoràmica, d’acord amb una ingenuïtat perceptiva, amb un distanciament naïf cap a la realitat. Es tracta d’un ordre de percepcions que informen els trets expressius que hem apuntat quant a aquestes cobles. Unes manifestacions ben il·lustratives d’aquestes darreres composicions són unes contrautopies que recullen, amb voluntat de totalitat, el conjunt d’abusos que pateix la societat pagesa, general o local.

Classical line shapes based on analytical solutions of bimolecular trajectories in collision induced emission. II. Reactive collisions

The classical theory of collision induced emission (CIE) from pairs of dissimilar rare gas atoms was developed in Paper I [D. Reguera and G. Birnbaum, J. Chem. Phys. 125, 184304 (2006)] from a knowledge of the straight line collision trajectory and the assumption that the magnitude of the dipole could be represented by an exponential function of the inter-nuclear distance. This theory is extended here to deal with other functional forms of the induced dipole as revealed by ab initio calculations. Accurate analytical expression for the CIE can be obtained by least square fitting of the ab initio values of the dipole as a function of inter-atomic separation using a sum of exponentials and then proceeding as in Paper I. However, we also show how the multi-exponential fit can be replaced by a simpler fit using only two analytic functions. Our analysis is applied to the polar molecules HF and HBr. Unlike the rare gas atoms considered previously, these atomic pairs form stable bound diatomic molecules. We show that, interestingly, the spectra of these reactive molecules are characterized by the presence of multiple peaks. We also discuss the CIE arising from half collisions in excited electronic states, which in principle could be probed in photo-dissociation experiments.

Effect of tow-drop gaps on the damage resistance and tolerance of Variable-Stiffness Panels

This paper presents an experimental study of the effects of tow-drop gaps in Variable Stiffness Panels under drop-weight impact events. Two different configurations, with and without ply-staggering, have been manufactured by Automated Fibre Placement and compared with their baseline counterpart without defects. For the study of damage resistance, three levels of low velocity impact energy are generated with a drop-weight tower. The damage area is analysed by means of ultrasonic inspection. Results of the analysed defect configurations indicate that the influence of gap defects is only relevant under small impact energy values. However, in the case of damage tolerance, the residual compressive strength after impact does not present significant differences to that of conventional straight fibre laminates. This indicates that the strength reduction is driven mainly by the damage caused by the impact event rather than by the influence of manufacturing-induced defects

Variable-stiffness composite panels: Defect tolerance under in-plane tensile loading

Automated Fiber Placement is being extensively used in the production of major composite components for the aircraft industry. This technology enables the production of tow-steered panels, which have been proven to greatly improve the structural efficiency of composites by means of in-plane stiffness variation and load redistribution. However, traditional straight-fiber architectures are still preferred. One of the reasons behind this is related to the uncertainties, as a result of process-induced defects, in the mechanical performance of the laminates. This experimental work investigates the effect of the fiber angle discontinuities between different tow courses in a ply on the un-notched and open-hole tensile strength of the laminate. The influence of several manufacturing parameters are studied in detail. The results reveal that 'ply staggering' and '0% gap coverage' is an effective combination in reducing the influence of defects in these laminates