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 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.

Questing mass dimension 1 spinor fields

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1

2000 Mathematics Subject Classification: 35Q02, 35Q05, 35Q10, 35B40.

The exact sample complexity of PAC-learning problems with unit VC dimension

The Vapnik-Chervonenkis (VC) dimension is a combinatorial measure of a certain class of machine learning problems, which may be used to obtain upper and lower bounds on the number of training examples needed to learn to prescribed levels of accuracy. Most of the known bounds apply to the Probably Approximately Correct (PAC) framework, which is the framework within which we work in this paper. For a learning problem with some known VC dimension, much is known about the order of growth of the sample-size requirement of the problem, as a function of the PAC parameters. The exact value of sample-size requirement is however less well-known, and depends heavily on the particular learning algorithm being used. This is a major obstacle to the practical application of the VC dimension. Hence it is important to know exactly how the sample-size requirement depends on VC dimension, and with that in mind, we describe a general algorithm for learning problems having VC dimension 1. Its sample-size requirement is minimal (as a function of the PAC parameters), and turns out to be the same for all non-trivial learning problems having VC dimension 1. While the method used cannot be naively generalised to higher VC dimension, it suggests that optimal algorithm-dependent bounds may improve substantially on current upper bounds.

Anwendung der Coupled-Cluster-Methode zur Untersuchung frustrierter quasi-eindimensionaler und zweidimensionaler Quantenspinsysteme

Magdeburg, Univ., Fak. für Naturwiss., Diss., 2010

Étude descriptive quantitative et corrélationnelle portant sur la perception de la qualité de vie des proches aidants de plus de 65 ans qui prennent soin d'un proche souffrant d'une problématique de démence

La problématique : En Suisse, même si l'on constate une longue tradition du modèle de famille pluri-générationnelle multi-locale (Tourollier, 2009), l'évolution démographique a pour effet le vieillissement des aidants (Anchisi, 2010). La société véhicule l'idée que trop de personnes en perte d'autonomie sont abandonnées par leurs familles et que celles-ci relèguent toutes leurs responsabilités à l'Etat. Selon Pitaud (2009), cette vision est erronée, car son étude démontre que les membres de la famille forment généralement le noyau de ce réseau d'aide qui permet leur maintien à domicile. Il s'agit, pour l'auteur, d'une solution à la fois humaine et économiquement acceptable. Le contexte global du vieillissement et de la possibilité de fragilisation psychique suggère qu'une meilleure prise en compte des besoins de l'entourage des personnes souffrants de problématique de démence peut améliorer leur qualité ainsi que celle des proches aidants (Thomas, 2005). But : Cette étude quantitative vise à décrire la perception qu'ont les proches aidants de leur propre qualité de vie incluant leur vulnérabilité. Méthode: Cette étude quantitative descriptive corrélationnelle a été effectuée auprès de 30 proches aidants, recrutés selon un échantillonnage non probabiliste. Pour les corrélations exploratoires, des tests de Pearson, Student, Wilcoxon ou Mann Whitney ont été effectués. Le questionnaire proposé est tiré des études Pixel et il contient des données sociodémographiques, quatre dimensions portant sur la qualité de vie perçue ainsi que deux dimensions sur la vulnérabilité. Résultats: L'âge moyen des proches aidants participant est de 77,47 ans (ÉT 4,74). Les résultats montrent que 40% d'entre eux sont impliqués dans l'aide auprès du malade depuis plus de cinq ans. La plus grande partie a un niveau de formation de type maîtrise professionnelle (70%). Le score moyen de la perception de la qualité de vie (max. 105 points) est de 63.20 (ÉT 10.25). La vulnérabilité perçue est divisée en deux dimensions (max 50 points par partie). Pour la dimension 1 ; la moyenne pour l'impact de la maladie est de 29.00 (ÉT 5.63). Pour la dimension 2 ; la moyenne de l'aggravation de la vulnérabilité, est de 34.26 (ÉT 10.25). Des corrélations exploratoires montrent que l'âge, la durée des soins, le genre sont associées avec une diminution de la qualité de vie ou l'aggravation de la vulnérabilité perçue. Conclusion : Malgré les limites de la présente étude qui sont liées à la petitesse de l'échantillon, les résultats sont conciliables avec les écrits antérieurs. Il serait judicieux de poursuivre des recherches sur ce sujet afin d'approfondir et d'affiner les représentations utiles au renforcement du rôle infirmier auprès des proches aidants d'une part et des autres professionnels du réseau de soin d'autre part, ceci dans le but de favoriser la promotion de la santé auprès des proches aidants qui sont un maillon indispensable dans la chaîne des soins.

Unfolded singularities of analytic differential equations

La thèse est composée d’un chapitre de préliminaires et de deux articles sur le sujet du déploiement de singularités d’équations différentielles ordinaires analytiques dans le plan complexe. L’article Analytic classification of families of linear differential systems unfolding a resonant irregular singularity traite le problème de l’équivalence analytique de familles paramétriques de systèmes linéaires en dimension 2 qui déploient une singularité résonante générique de rang de Poincaré 1 dont la matrice principale est composée d’un seul bloc de Jordan. La question: quand deux telles familles sontelles équivalentes au moyen d’un changement analytique de coordonnées au voisinage d’une singularité? est complètement résolue et l’espace des modules des classes d’équivalence analytiques est décrit en termes d’un ensemble d’invariants formels et d’un invariant analytique, obtenu à partir de la trace de la monodromie. Des déploiements universels sont donnés pour toutes ces singularités. Dans l’article Confluence of singularities of non-linear differential equations via Borel–Laplace transformations on cherche des solutions bornées de systèmes paramétriques des équations non-linéaires de la variété centre de dimension 1 d’une singularité col-noeud déployée dans une famille de champs vectoriels complexes. En général, un système d’ÉDO analytiques avec une singularité double possède une unique solution formelle divergente au voisinage de la singularité, à laquelle on peut associer des vraies solutions sur certains secteurs dans le plan complexe en utilisant les transformations de Borel–Laplace. L’article montre comment généraliser cette méthode et déployer les solutions sectorielles. On construit des solutions de systèmes paramétriques, avec deux singularités régulières déployant une singularité irrégulière double, qui sont bornées sur des domaines «spirals» attachés aux deux points singuliers, et qui, à la limite, convergent vers une paire de solutions sectorielles couvrant un voisinage de la singularité confluente. La méthode apporte une description unifiée pour toutes les valeurs du paramètre.

Explicit time-stepping for moving meshes

In order to move the nodes in a moving mesh method a time-stepping scheme is required which is ideally explicit and non-tangling (non-overtaking in one dimension (1-D)). Such a scheme is discussed in this paper, together with its drawbacks, and illustrated in 1-D in the context of a velocity-based Lagrangian conservation method applied to first order and second order examples which exhibit a regime change after node compression. An implementation in multidimensions is also described in some detail.

Descriptive Sensory Analysis and Acceptance of Stingless Bee Honey

Stingless bee honey samples were evaluated by sensory descriptive analysis using free choice profile methodology. Appearance, flavor, and aroma were described and the data were treated with Generalized Procrustes Analysis. Individual descriptive terms ranged from 8 to 20. Plotting the samples in a bidimensional plan indicated that appearance attributes (color and viscosity) and sweet, sour and acid flavor were strongly correlated with x axis (Dimension 1) while coconut, wood, acid, sour, and sweet flavor aroma attributes were correlated with y axis (Dimension 2). The affective test was also performed and with the exception of the Melipona scutellaris honey, all the other samples showed good acceptance. Honeys that were described as sweeter and less acid were preferred by nontrained assessors, indicating that the regular consumer recognizes honey produced by Apis mellifera bee as a standard.

Análise de resultados intermediários das políticas de bônus em escolas públicas estaduais brasileiras

Programas de bônus para servidores de escolas públicas, visando estimular a melhoria da aprendizagem dos alunos, foram adotados por diferentes estados brasileiros entre 2008 e 2011. A presente pesquisa teve como objetivo avaliar o impacto desses programas em três dimensões: 1. práticas pedagógicas dos professores; 2. absenteísmo e rotatividade dos professores ou visão do diretor ou professor sobre a assiduidade e rotatividade do professor; 3. interlocução com familiares para garantir a frequência dos alunos. A coleta de dados foi feita a partir dos questionários da Prova Brasil, respondidos por diretores, professores e alunos das escolas do grupo de tratamento e do grupo controle. Foram considerados na análise: a variação no ano de implementação dos programas (dose), seus diferentes desenhos (tipo) e a série/ano dos alunos (série) que responderam a Prova Brasil. A abordagem metodológica adotada para a análise proposta foi a de pareamento pelo escore de propensão, seguido do cálculo de diferenças em diferenças, entre os Estados que implementaram a política e os que não adotaram. Os resultados variam de acordo com a série e dose, havendo impacto positivo para algumas categorias de análise na dimensão 1, relacionado à frequência com que professores corrigem o dever de casa. Na dimensão 2, os resultados apontam para uma redução de preocupação dos diretores com a rotatividade dos professores e aumento da percepção de que o absenteísmo dos docentes é um problema na realidade escolar pública brasileira. Quanto à dimensão 3, os dados revelam, de modo geral, ausência de impacto. Permanece a dúvida sobre a eficiência e a eficácia do estímulo financeiro para produzir mudanças no comportamento dos professores e diretores que possam promover resultados intermediários na melhoria da aprendizagem dos alunos.

From Dirac spinor fields to eigenspinoren des ladungskonjugationsoperators

Dual-helicity eigenspinors of the charge conjugation operator [eigenspinoren des ladungskonjugationsoperators (ELKO) spinor fields] belong-together with Majorana spinor fields-to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class (5), according to Lounesto spinor field classification based on the relations and values taken by their associated bilinear covariants. There exists only six such disjoint classes: the first three corresponding to Dirac spinor fields, and the other three, respectively, corresponding to flagpole, flag-dipole, and Weyl spinor fields. This paper is devoted to investigate and provide the necessary and sufficient conditions to map Dirac spinor fields to ELKO, in order to naturally extend the standard model to spinor fields possessing mass dimension 1. As ELKO is a prime candidate to describe dark matter, an adequate and necessary formalism is introduced and developed here, to better understand the algebraic, geometric, and physical properties of ELKO spinor fields, and their underlying relationship to Dirac spinor fields. (c) 2007 American Institute of Physics.

O plano de ações articuladas e a gestão educacional do município de Altamira-Pará

ABSTRACT: This researpch discusses the role of Articulated Action Plan (AAP) in education management and present as object of study the implications of AAP in the management of Altamira-PA education, with respect to the democratic management. The investigation seems to clarify se with the implementation of the AAP there was progress in the democratization of education management in Altamira-PA. We pointed as well as general objective: analyze the implications of AAP for educational management Altamira from 2007 to 2012. The research investigation bases made themselves with the literature of contribution on the issues of the state and education politic, the democratic management of education and Articulated Action Plan, as well as official documents available in SEMED and other sources. Having as part of a research management, considered in the analysis of the educational context dimension 1 (one) of the AAP. So in addition to statistical data on municipal education, we analyzed financial data for the transfer of federal funds, and qualitative data on the participation of research subjects (education secretaries, counselors, teachers and teaching coordination). The investigation revealed that it is still fragile the field of democratization of education in Altamira. Of the analyzed aspects contained in the AAP, including the functioning of the councils (School Boards, City Board of Education, CACS-Fundeb and CAE), providing of the position of directors and the construction of the Municipal Education Plan (MEP) show progress and setbacks regarding the democratic management: existence of all the advice of social control and monitoring; reactivation of CME but this still can not coordinate discussions on the educational politic of the municipality; little participation in the School Boards; creation of Law No. 3,085/2012 establishing the Municipal school system, but still no installation; transfers under the AAP of federal funds for schools; lack of MEP and privilege of the IAS Target Plan. Finally, it is concluded that even if the resistance fronts for the construction and consolidation of democratic management of education and there are historical in Altamira, the construction of educational politic with the participation of all is frustrated by the centrality of the decision-making power in the Government’s hands.

Campos espinoriais ELKO

Pós-graduação em Física - FEG

How fluids bend: the elastic expansion for higher-dimensional black holes

Hydrodynamics can be consistently formulated on surfaces of arbitrary co-dimension in a background space-time, providing the effective theory describing long-wavelength perturbations of black branes. When the co-dimension is non-zero, the system acquires fluid-elastic properties and constitutes what is called a fluid brane. Applying an effective action approach, the most general form of the free energy quadratic in the extrinsic curvature and extrinsic twist potential of stationary fluid brane configurations is constructed to second order in a derivative expansion. This construction generalizes the Helfrich-Canham bending energy for fluid membranes studied in theoretical biology to the case in which the fluid is rotating. It is found that stationary fluid brane configurations are characterized by a set of 3 elastic response coefficients, 3 hydrodynamic response coefficients and 1 spin response coefficient for co-dimension greater than one. Moreover, the elastic degrees of freedom present in the system are coupled to the hydrodynamic degrees of freedom. For co-dimension-1 surfaces we find a 8 independent parameter family of stationary fluid branes. It is further shown that elastic and spin corrections to (non)-extremal brane effective actions can be accounted for by a multipole expansion of the stress-energy tensor, therefore establishing a relation between the different formalisms of Carter, Capovilla-Guven and Vasilic-Vojinovic and between gravity and the effective description of stationary fluid branes. Finally, it is shown that the Young modulus found in the literature for black branes falls into the class predicted by this approach - a relation which is then used to make a proposal for the second order effective action of stationary blackfolds and to find the corrected horizon angular velocity of thin black rings.