949 resultados para topological equivalence of attractors


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Quais os efeitos do diagnóstico de prematuridade no discurso das mães e suas repercussões na relação mãe-criança? Partindo desta questão, que surgiu na experiência psicanalítica em um hospital pediátrico, o presente estudo visa analisar os efeitos do diagnóstico de prematuridade no discurso materno a partir de entrevistas psicanalíticas preliminares com mães de crianças prematuras. Trata-se de uma pesquisa clínica qualitativa que propõe uma articulação entre clínica e teoria a partir da construção de quatro casos clínicos fundamentados pelo referencial teórico da psicanálise de Freud, Lacan e autores contemporâneos. Se no imaginário social a prematuridade é associada a dificuldades em diversos contextos da vida, a análise de cada caso revela que este diagnóstico pode ou não ser encadeado pelo sujeito aos significantes que o marcam de forma prevalente. Nesta via, a prematuridade se desloca do lugar determinante de algo que sempre marca e decide, para um lugar que só pode ser escutado no um a um. Para a análise dos casos, elencou-se a divisão mãe-mulher como operador conceitual central dada sua prevalência nos discursos, em um percurso teórico que parte da história do amor materno ao exame psicanalítico da maternidade a partir da sexualidade feminina. Tais considerações partem do mito do amor materno de Badinter, em direção à equivalência do filho como substituto da falta fálica em Freud, até à ênfase ao desejo da mulher na mãe em Lacan. A discussão apresenta os diferentes lugares atribuídos à prematuridade por cada sujeito feminino e a prevalência de impasses próprios à conjunção e disjunção mãe-mulher incidindo na relação mãe-criança

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The so-called quantum spin Hall phase is a topologically nontrivial insulating phase that is predicted to appear in graphene and graphenelike systems. In this paper we address the question of whether this topological property persists in multilayered systems. We consider two situations: purely multilayer graphene and heterostructures where graphene is encapsulated by trivial insulators with a strong spin-orbit coupling. We use a four-orbital tight-binding model that includes full atomic spin-orbit coupling and we calculate the Z2 topological invariant of the bulk states as well as the edge states of semi-infinite crystals with armchair termination. For homogeneous multilayers we find that even when the spin-orbit interaction opens a gap for all possible stackings, only those with an odd number of layers host gapless edge states while those with an even number of layers are trivial insulators. For heterostructures where graphene is encapsulated by trivial insulators, it turns out that interlayer coupling is able to induce a topological gap whose size is controlled by the spin-orbit coupling of the encapsulating materials, indicating that the quantum spin Hall phase can be induced by proximity to trivial insulators.

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Skyrmions are topologically protected spin textures, characterized by a topological winding number N, that occur spontaneously in some magnetic materials. Recent experiments have demonstrated the capability to grow graphene on top Fe/Ir, a system that exhibits a two-dimensional skyrmion lattice. Here we show that a weak exchange coupling between the Dirac electrons in graphene and a two-dimensional skyrmion lattice withN = ±1 drives graphene into a quantum anomalous Hall phase, with a band gap in bulk, a Chern number C = 2N, and chiral edge states with perfect quantization of conductance G = 2N e2 h . Our findings imply that the topological properties of the skyrmion lattice can be imprinted in the Dirac electrons of graphene.

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Mutual recognition is a remarkable innovation facilitating economic intercourse across borders. In the EU's internal goods market it has been helpful in tackling or avoiding the remaining obstacles, namely, regulatory barriers between Member States. However, there is a curious paradox. Despite the almost universal acclaim of the great merits of mutual recognition the principle has, in and by itself, contributed only modestly to the actual realisation of free movement in the single market. It is also surprising that economists have not or hardly underpinned their widespread appreciation for the principle by providing rigorous analysis which could substantiate the case for mutual recognition for policy makers. Business in Europe has shown a sense of disenc hantment with the principle because of the many costs and uncertainties in its application in actual practice. The purpose of the present paper is to provide the economic and strategic arguments for employing mutual recognition much more systematically in the single market for goods and services. The strategic and the "welfare" gains are analysed and adetailed exposition of the fairly high information , transaction and compliance costs is provided. The information costs derive from the fact that mutual recognition remains a distant abstraction for day-to-day business life. Understandably, verifying the "equivalence" of objectives of health and safety between Member States is perceived as difficult and uncertain. This sentiment is exacerbated by the complications of interpreting the equivalence of "effects". In actual practice, these abstractions are expected to override clear and specific national product or services rules, which local inspectors or traders may find problematic without guidance. The paper enumerates several other costs including, inter alia, the absence of sectoral rule books and the next-to-prohibitive costs of monitoring of the application of the principle. The basic problems in applying mutual recognition in the entire array of services are inspected, showing why the principle can only be used in a limited number of services markets and even there it may contribute only modestly to genuine free movement and competitive exposure. A special section is devoted to a range of practical illustrations of the difficulties business experiences when relying on mutual recognition. Finally, the corollary of mutual recognition - regulatory competition - is discussed in terms of a cost/benefits analysis compared to what is often said to be the alternative , that is "harmonisation" , in EU parlance the "new approach" to approximation. The conclusion is that the manifold benefits of mutual recognition for Europe are too great to allow the present ambiguities to continue. The Union needs much more pro-active approaches to reduce the costs of mutual recognition as well as permanent monitoring structures for its application to services (analogous to those already successfully functioning in goods markets). Above all, what is required is a "mutual recognition culture" so that the EU can better enjoy the fruits of its own regulatory ingenuity.

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To date, the negotiations over chemicals in the Translatlantic Trade and Investment Partnership (TTIP) have not shown sufficient ambition. The talks have focused too much on the differences in the two ‘systems’, rather than on the actual levels of health and environmental protection for substances regulated by both the US and the EU. Given the accomplishments within the OECD and the UN Globally Harmonised System of Classification and Labelling of Chemicals (GHS), the question is whether TTIP can be any more ambitious in the area of chemicals? We find that there is no detailed or systematic knowledge about how the two levels of protection in chemicals compare, although caricatures and stereotypes abound. This is partly due to an obsessive focus on a single US federal law, the Toxic Subtances Control Act (TSCA), whereas in practice US protection depends on many statutes and regulations, as well as on voluntary withdrawals (under pressure from the Environmental Protection Agency) and severe common law liability. This paper makes the economic case for firmly addressing the regulatory barriers, discusses the EU’s proposals, finds that the European Parliament’s Resolution on TTIP of July 2015 lacks a rationale (for chemicals), argues that both TSCA and REACH ought to be improved (based on ‘better regulation’), discusses the link with a global regime, advocates significant improvement of market access where equivalence of health and environmental objectives is agreed and, finally, proposes to lower the costs for companies selling in both markets by allowing them to opt into the other party’s more stringent rules, thereby avoiding duplication while racing-to-the-top. The ‘living agreement’ on chemicals ought to be led by a new TTIP institution authorised to establish the level of health and environmental protection on both sides of the Atlantic for substances regulated on both sides. These findings will lay the foundation for a highly beneficial lowering of trading costs without in any way affecting the level of protection. Indeed, this is exactly what TTIP is, or should be, all about.This paper is the 10th in a series produced in the context of the “TTIP in the Balance” project, jointly organised by CEPS and the Center for Transatlantic Relations (CTR) in Washington, D.C. It is published simultaneously on the CEPS (www.ceps.eu) and CTR websites (http://transatlantic.sais-jhu.edu).

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The Drinfeld twist for the opposite quasi-Hopf algebra, H-COP, is determined and is shown to be related to the (second) Drinfeld twist on a quasi-Hopf algebra. The twisted form of the Drinfeld twist is investigated. In the quasi-triangular case, it is shown that the Drinfeld u-operator arises from the equivalence of H-COP to the quasi-Hopf algebra induced by twisting H with the R-matrix. The Altschuler-Coste u-operator arises in a similar way and is shown to be closely related to the Drinfeld u-operator. The quasi-cocycle condition is introduced and is shown to play a central role in the uniqueness of twisted structures on quasi-Hopf algebras. A generalization of the dynamical quantum Yang-Baxter equation, called the quasi-dynamical quantum Yang-Baxter equation, is introduced.

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Complex numbers appear in the Hilbert space formulation of quantum mechanics, but not in the formulation in phase space. Quantum symmetries are described by complex, unitary or antiunitary operators defining ray representations in Hilbert space, whereas in phase space they are described by real, true representations. Equivalence of the formulations requires that the former representations can be obtained from the latter and vice versa. Examples are given. Equivalence of the two formulations also requires that complex superpositions of state vectors can be described in the phase space formulation, and it is shown that this leads to a nonlinear superposition principle for orthogonal, pure-state Wigner functions. It is concluded that the use of complex numbers in quantum mechanics can be regarded as a computational device to simplify calculations, as in all other applications of mathematics to physical phenomena.

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Molecular transport in phase space is crucial for chemical reactions because it defines how pre-reactive molecular configurations are found during the time evolution of the system. Using Molecular Dynamics (MD) simulated atomistic trajectories we test the assumption of the normal diffusion in the phase space for bulk water at ambient conditions by checking the equivalence of the transport to the random walk model. Contrary to common expectations we have found that some statistical features of the transport in the phase space differ from those of the normal diffusion models. This implies a non-random character of the path search process by the reacting complexes in water solutions. Our further numerical experiments show that a significant long period of non-stationarity in the transition probabilities of the segments of molecular trajectories can account for the observed non-uniform filling of the phase space. Surprisingly, the characteristic periods in the model non-stationarity constitute hundreds of nanoseconds, that is much longer time scales compared to typical lifetime of known liquid water molecular structures (several picoseconds).

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In human vision, the response to luminance contrast at each small region in the image is controlled by a more global process where suppressive signals are pooled over spatial frequency and orientation bands. But what rules govern summation among stimulus components within the suppressive pool? We addressed this question by extending a pedestal plus pattern mask paradigm to use a stimulus with up to three mask components: a vertical 1 c/deg pedestal, plus pattern masks made from either a grating (orientation = -45°) or a plaid (orientation = ±45°), with component spatial frequency of 3 c/deg. The overall contrast of both types of pattern mask was fixed at 20% (i.e., plaid component contrasts were 10%). We found that both of these masks transformed conventional dipper functions (threshold vs. pedestal contrast with no pattern mask) in exactly the same way: The dipper region was raised and shifted to the right, but the dipper handles superimposed. This equivalence of the two pattern masks indicates that contrast summation between the plaid components was perfectly linear prior to the masking stage. Furthermore, the pattern masks did not drive the detecting mechanism above its detection threshold because they did not abolish facilitation by the pedestal (Foley, 1994). Therefore, the pattern masking could not be attributed to within-channel masking, suggesting that linear summation of contrast signals takes place within a suppressive contrast gain pool. We present a quantitative model of the effects and discuss the implications for neurophysiological models of the process. © 2004 ARVO.

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An inverse problem is considered where the structure of multiple sound-soft planar obstacles is to be determined given the direction of the incoming acoustic field and knowledge of the corresponding total field on a curve located outside the obstacles. A local uniqueness result is given for this inverse problem suggesting that the reconstruction can be achieved by a single incident wave. A numerical procedure based on the concept of the topological derivative of an associated cost functional is used to produce images of the obstacles. No a priori assumption about the number of obstacles present is needed. Numerical results are included showing that accurate reconstructions can be obtained and that the proposed method is capable of finding both the shapes and the number of obstacles with one or a few incident waves.

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The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate solution of this problem. Two numerical examples are given.

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Mathematics Subject Classification: 26A33, 34A37.

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AMS subject classification: 90C29, 90C48

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2000 Mathematics Subject Classification: 49J52, 49J50, 58C20, 26B09.

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Anxiety sensitivity is a multifaceted cognitive risk factor currently being examined in relation to anxiety and depression. The paucity of research on the relative contribution of the facets of anxiety sensitivity to anxiety and depression, coupled with variations in existing findings, indicate that the relations remain inadequately understood. In the present study, the relations between the facets of anxiety sensitivity, anxiety, and depression were examined in 730 Hispanic-Latino and European-American youth referred to an anxiety specialty clinic. Youth completed the Childhood Anxiety Sensitivity Index, the Revised Children’s Manifest Anxiety Scale, and the Children’s Depression Inventory. The factor structure of the Childhood Anxiety Sensitivity Index was examined using ordered-categorical confirmatory factor analytic techniques. Goodness-of-fit criteria indicated that a two-factor model fit the data best. The identified facets of anxiety sensitivity included Physical/Mental Concerns and Social Concerns. Support was also found for cross-ethnic equivalence of the two-factor model across Hispanic-Latino and European-American youth. Structural equation modeling was used to examine models involving anxiety sensitivity, anxiety, and depression. Results indicated that an overall measure of anxiety sensitivity was positively associated with both anxiety and depression, while the facets of anxiety sensitivity showed differential relations to anxiety and depression symptoms. Both facets of anxiety sensitivity were related to overall anxiety and its symptom dimensions, with the exception being that Social Concerns was not related to physiological anxiety symptoms. Physical/Mental Concerns were strongly associated with overall depression and with all depression symptom dimensions. Social Concerns was not significantly associated with depression or its symptom dimensions. These findings highlight that anxiety sensitivity’s relations to youth psychiatric symptoms are complex. Results suggest that focusing on anxiety sensitivity’s facets is important to fully understand its role in psychopathology. Clinicians may want to target all facets of anxiety sensitivity when treating anxious youth. However, in the context of depression, it might be sufficient for clinicians to target Physical/Mental Incapacitation Concerns.