Poincar-Cartan intregral invariant and canonical trasformation for singular Lagrangians: an addendum

The results of a previous work, concerning a method for performing the canonical formalism for constrained systems, are extended when the canonical transformation proposed in that paper is explicitly time dependent.

Reconstructing images from their most singular fractal manifold

Real-world images are complex objects, difficult to describe but at the same time possessing a high degree of redundancy. A very recent study [1] on the statistical properties of natural images reveals that natural images can be viewed through different partitions which are essentially fractal in nature. One particular fractal component, related to the most singular (sharpest) transitions in the image, seems to be highly informative about the whole scene. In this paper we will show how to decompose the image into their fractal components.We will see that the most singular component is related to (but not coincident with) the edges of the objects present in the scenes. We will propose a new, simple method to reconstruct the image with information contained in that most informative component.We will see that the quality of the reconstruction is strongly dependent on the capability to extract the relevant edges in the determination of the most singular set.We will discuss the results from the perspective of coding, proposing this method as a starting point for future developments.

Coisotropic regularization of singular Lagrangians

We present an alternative approach to the usual treatments of singular Lagrangians. It is based on a Hamiltonian regularization scheme inspired on the coisotropic embedding of presymplectic systems. A Lagrangian regularization of a singular Lagrangian is a regular Lagrangian defined on an extended velocity phase space that reproduces the original theory when restricted to the initial configuration space. A Lagrangian regularization does not always exists, but a family of singular Lagrangians is studied for which such a regularization can be described explicitly. These regularizations turn out to be essentially unique and provide an alternative setting to quantize the corresponding physical systems. These ideas can be applied both in classical mechanics and field theories. Several examples are discussed in detail. 1995 American Institute of Physics.

Generation of symmetric periodic orbits by a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2 in R3

In this paper we will find a continuous of periodic orbits passing near infinity for a class of polynomial vector fields in R3. We consider polynomial vector fields that are invariant under a symmetry with respect to a plane and that possess a “generalized heteroclinic loop” formed by two singular points e+ and e− at infinity and their invariant manifolds � and . � is an invariant manifold of dimension 1 formed by an orbit going from e− to e+, � is contained in R3 and is transversal to . is an invariant manifold of dimension 2 at infinity. In fact, is the 2–dimensional sphere at infinity in the Poincar´e compactification minus the singular points e+ and e−. The main tool for proving the existence of such periodic orbits is the construction of a Poincar´e map along the generalized heteroclinic loop together with the symmetry with respect to .

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.

Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2

In this paper we consider vector fields in R3 that are invariant under a suitable symmetry and that posses a “generalized heteroclinic loop” L formed by two singular points (e+ and e −) and their invariant manifolds: one of dimension 2 (a sphere minus the points e+ and e −) and one of dimension 1 (the open diameter of the sphere having endpoints e+ and e −). In particular, we analyze the dynamics of the vector field near the heteroclinic loop L by means of a convenient Poincar´e map, and we prove the existence of infinitely many symmetric periodic orbits near L. We also study two families of vector fields satisfying this dynamics. The first one is a class of quadratic polynomial vector fields in R3, and the second one is the charged rhomboidal four body problem.

Fachada solar como pieza singular de arquitectura sostenible

Articulo sobre la importancia de las energias renovables y su integración arquitectónica en el camino hacia una arquitectura sostenible. Descripción y evaluación del proyecto Fachada Solar SCHOTT Iberica.

Les dunes litorals, un paisatge singular en regressió

Escrit que vol donar a conèixer el medi dunar litoral amb l’objectiu de recomanar la seva protecció urgent

Projeto terapêutico singular no âmbito da saúde mental: uma experiência no curso de graduação em medicina

O Jardim Campo Belo, localizado no município de Campinas (SP), é um bairro de alta vulnerabilidade social e grande demanda por serviços de saúde, sendo a única oferta em saúde mental o matriciamento com outra unidade de saúde. Neste contexto, durante as disciplinas do segundo ano de Medicina, foi realizado um projeto de intervenção no Centro de Saúde, mediante acompanhamento em domicilio de pacientes usuários de psicotrópicos. Realizaram-se visitas quinzenais às casas de dez pacientes. Nestas visitas, trabalhou-se um roteiro semidirigido, em que se buscou conhecer as demandas de cada paciente. Alguns destes aumentaram os cuidados com a própria saúde, e num caso houve até suspensão do uso dos medicamentos psicotrópicos, em parceria com a equipe; em outros casos, as visitas serviram como válvula de escape social, tornando-se um espaço onde se ofertava atenção aos que estavam acostumados ao abandono social. Os alunos envolvidos relatam grande aprendizado graças às vivências e ao envolvimento com o tema, que se tornou um grande suplemento pedagógico.

Singular Reference Without Singular Thought

Abstract In this paper I challenge the widespread assumption that the conditions for singular reference are more or less the same as the conditions for singular thought. I claim that we refer singularly to things without thinking singularly about them more often than it is usually believed. I first argue that we should take the idea that singular thought is non-descriptive thought very seriously. If we do that, it seems that we cannot be so liberal about what counts as acquaintance; only perception (and memory) will do. I also briefly discuss and reject semantic instrumentalism. Finally, I argue that while singular reference is cheap, singular thought comes only at a price.

Mujer y maltrato infantil: bajo qué circunstancias las mujeres maltratan a las y los menores

Tesis (Maestria en Trabajo Social) UANL

El maltrato infantil como un aspecto de la violencia intrafamiliar y su relación con algunas variables del padre y de la madre, del niñoy de la familia

Tesis (Maestría en Trabajo Social) UANL

El maltrato al menor a la luz del derecho penal

Tesis Maestría en Ciencias Penales) U.A.N.L.