Medo de Palco: contributo para uma análise e aplicação de estratégias visando o seu controle

“Nós reverenciamos Cláudio Arrau, cuja arte tinha a profundidade e o fôlego de um velho sábio e o virtuosismo estonteante de um jovem vencedor de um concurso”1. Este comentário de Pedro de Alcântara, graduado em música pela Yale School of Music e professor de Técnica Alexander, será seguramente secundado por qualquer melómano. Arrau confessa numa entrevista a Elyse Mach:”… quando tinha dezoito ou dezanove anos, entreguei-me aos cuidados de um psiquiatra2 porque havia em mim uma espécie de bloqueio que me impedia de expressar o meu eu musical […] muitas vezes voltei a visitar este homem maravilhoso […]. Eu aconselharia qualquer intérprete a falar com um psiquiatra e, se necessário fazer análise. A paz de espírito que daí resulta vale a pena.”3 Qualquer intérprete, cantor, instrumentista ou maestro, tem consciência da existência do tipo de bloqueios de que fala Arrau. Conforme se pode constatar pelo comentário extraído do célebre tratado de flauta de Quantz em 1752, nem sequer é um problema recente: “Se o flautista que quer ser ouvido publicamente é timorato e não está ainda acostumado a tocar na presença de muitas pessoas, deve tentar, enquanto está a tocar, dirigir a sua atenção apenas para as notas à sua frente, nunca encarando os presentes, uma vez que isso distrai os pensamentos, e destrói a sua tranquilidade. […] O medo causa uma ebulição do sangue que disturba o regular funcionamento dos pulmões, assim como dos braços, da língua e dos dedos. Daí surge uma tremura dos membros muito obstrutiva ao tocar e, como resultado, o flautista será incapaz de produzir uma passagem mais longa num fôlego, ou quaisquer outros actos especialmente difíceis, tal como faria num estado de espírito tranquilo.”4 Ao longo dos séculos, todos os grandes intérpretes tiveram que lidar com os problemas associados à performance musical pública, e, mais ou menos inconscientemente desenvolveram rotinas, atitudes ou superstições que, com maior ou menor sucesso os ajudam a ultrapassá-los. É obviamente um assunto que muitos intérpretes preferem evitar. A sua racionalização implica enfrentar os próprios fantasmas, e sobretudo, traz implícita a constatação de que esses receios existem, algo que nunca é fácil de admitir por parte de alguém que durante muitos anos poderá ter sobrevivido à custa de um exercício de negação. Existem estratégias muito eficazes para ajudar a superar o stress relacionado com a performance musical. Urge analisá-las, compreendê-las, sistematizá-las e passá-las às gerações vindouras. Só assim se perpetuará o alto nível de execução que o acumular de experiências ao longo dos últimos séculos proporcionou, numa sociedade que cada vez mais pressiona os seus elementos para o êxito profissional como factor indissociável da felicidade e do sentimento de realização enquanto seres humanos.

Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium

An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study.

Biomimetic sensors of molecularly-imprinted polymers for chlorpromazine determination

A new man-tailored biomimetic sensor for Chlorpromazine host-guest interactions and potentiometric transduction is presented. The artificial host was imprinted within methacrylic acid, 2-vinyl pyridine and 2-acrylamido-2-methyl-1-propanesulfonic acid based polymers. Molecularly imprinted particles were dispersed in 2-nitrophenyloctyl ether and entrapped in a poly(vinyl chloride) matrix. Slopes and detection limits ranged 51–67 mV/decade and 0.46–3.9 μg/mL, respectively, in steady state conditions. Sensors were independent from the pH of test solutions within 2.0–5.5. Good selectivity was observed towards oxytetracycline, doxytetracycline, ciprofloxacin, enrofloxacin, nalidixic acid, sulfadiazine, trimethoprim, glycine, hydroxylamine, cysteine and creatinine. Analytical features in flowing media were evaluated on a double-channel manifold, with a carrier solution of 5.0 × 10−2 mol/L phosphate buffer. Near-Nernstian response was observed over the concentration range 1.0 × 10−4 to 1.0 × 10−2 mol/L. Average slopes were about 48 mV/decade. The sensors were successfully applied to field monitoring of CPZ in fish samples, offering the advantages of simplicity, accuracy, automation feasibility and applicability to complex samples.

Hausdorff dimension versus smoothness

There is a one-to-one correspondence between C1+H Cantor exchange systems that are C1+H fixed points of renormalization and C1+H diffeomorphisms f on surfaces with a codimension 1 hyperbolic attractor Λ that admit an invariant measure absolutely continuous with respect to the Hausdorff measure on Λ. However, there is no such C1+α Cantor exchange system with bounded geometry that is a C1+α fixed point of renormalization with regularity α greater than the Hausdorff dimension of its invariant Cantor set. The proof of the last result uses that the stable holonomies of a codimension 1 hyperbolic attractor Λ are not C1+θ for θ greater than the Hausdorff dimension of the stable leaves of f intersected with Λ.

Establishing the main Guidelines for Cast Steel to Produce Truck Parts

Este trabalho foi realizado na Scania CV AB e teve como principal objectivo estabelecer uma diretriz sobre a possível utilização de aços vazados. Existe uma grande necessidade na realização deste trabalho, de forma a apoiar os engenheiros de projecto no seu processo de selecção dos materiais mais adequados, para produzir componentes mais leves e de elevado desempenho. Esta diretriz apresenta informação relacionada com propriedades mecânicas, processos de fundição, vazabilidade, tipologia de defeitos, tratamentos térmicos, soldabilidade e tratamentos superficiais dos aços vazados. Este trabalho foi limitado, na seleção de materiais para componentes do camião, a aços vazados que poderiam ser aplicados em dois componentes específicos: um componente estrutural da carroçaria sujeito a esforços de fadiga e a um colector de gases de combustão, sujeito a fluência, oxidação, fadiga por corrosão, fadiga-térmica e fadiga-mecânica. Foi realizado um benchmark focado nestes dois componentes de forma a saber que materiais são utilizados de momento por outras empresas concorrentes. Foi realizada ainda uma análise sobre possíveis materiais que possam ser aplicados em cada componente referido. Foi conduzida uma caracterização no estado bruto de fundição de um aço inoxidável vazado usado para produzir um protótipo do colector de gases. Esta caracterização consistiu numa análise microestrutural e medição de macro e microdurezas. Além da caracterização inicial, foram aplicados um conjunto de tratamentos térmicos, de forma a estudar a possibilidade de eliminar os carbonetos presentes inicialmente nas fronteiras de grão. As principais conclusões deste trabalho são que o aço vazado apresenta potencial para ser uma escolha válida em diversas aplicações, devido a um leque alargado de propriedades apresentadas tipicamente por este material. Relativamente a aplicações estruturais, o aço vazado é vantajoso comparativamente ao ferro fundido, quando são requeridos, por exemplo, soldabilidade e elevada resistência, combinada com elevada tenacidade à fractura. Para componentes sujeitos a elevadas temperaturas de serviço, o aço inoxidável vazado é vantajoso quando usado a temperaturas superiores a 750°C, apesar do seu elevado custo. O tratamento térmico composto por um recozimento de solubilização seguido de envelhecimento, elimina quase na totalidade os carbonetos presentes nas fronteiras de grão e verifica-se um aumento de dureza através de uma precipitação de carbonetos finamente dispersos na matriz, que poderão também aumentar a resistência à fluência.

R&D spillovers in an endogenous growth model with physical capital, human capital and varieties

There is a family of models with Physical, Human capital and R&D for which convergence properties have been discussed (Arnold, 2000a; Gómez, 2005). However, spillovers in R&D have been ignored in this context. We introduce spillovers in this model and derive its steady-state and stability properties. This new feature implies that the model is characterized by a system of four differential equations. A unique Balanced Growth Path along with a two dimensional stable manifold are obtained under simple and reasonable conditions. Transition is oscillatory toward the steady-state for plausible values of parameters.

Transitional dynamics of an endogenous growth model with an erosion effect

The convergence features of an Endogenous Growth model with Physical capital, Human Capital and R&D have been studied. We add an erosion effect (supported by empirical evidence) to this model, and fully characterize its convergence properties. The dynamics is described by a fourth-order system of differential equations. We show that the model converges along a one-dimensional stable manifold and that its equilibrium is saddle-path stable. We also argue that one of the implications of considering this “erosion effect” is the increase in the adherence of the model to data.

An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds

For a given self-map f of M, a closed smooth connected and simply-connected manifold of dimension m ≥ 4, we provide an algorithm for estimating the values of the topological invariant Dm r [f], which equals the minimal number of r-periodic points in the smooth homotopy class of f. Our results are based on the combinatorial scheme for computing Dm r [f] introduced by G. Graff and J. Jezierski [J. Fixed Point Theory Appl. 13 (2013), 63–84]. An open-source implementation of the algorithm programmed in C++ is publicly available at http://www.pawelpilarczyk.com/combtop/.

Conflito e trauma: XVI Colóquio de Outono

It has been the main concern of CEHUM, as a Research Centre within the Humanities which operates in an inter and transdisciplinary structure to listen attentively to the “noise of the world” and attempt a global interpretation of the signs of the times issuing from the world around us, as vibrant echoes of many social and cultural pressing issues. Every year each new Colóquio de Outono attempts to give evidence of that concern through the topic chosen for debate, ample enough and challenging enough to trigger a lively multidisciplinary dialogue amongst the diff erent research groups that compose this centre, the participants and our invited guest speakers. Throughout the three days of this 16th Colóquio de Outono we had the privilege to debate the propositions of a vast number of national and international specialists in the manifold fi elds of inquiry here represented, engaging keynote speakers, project advisors, members of research teams and external researchers attached to the various research projects currently running in CEHUM, in the fi elds of literature, linguistics, philosophy, ethics, visual arts, cultural studies, music and performance. Each specifi c fi eld of studies was however never seen isolated, but always embodied in a geo-cultural context and within the scope of a wide variety of critical debates and current theories of knowledge, as a signal of our understanding of the Humanities as a rich and plural territory which engages us all, scholars, researchers, students.

Quasi-integrals and the origin of bursting pH oscillations in an enzyme model system

Bursting Oscillation, Mixed-Mode oscillation, Slow Manifold, Quasi-Integral, slow-fast analysis, QSSA

Contractions in the 2-wasserstein lenght space and thermalization of granular media

An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a spatially homogeneous flow-through model representing the continuum limit of a gas of particles interacting through slightly inelastic collisions. This rate is obtained by reformulating the dynamical problem as the gradient flow of a convex energy on an infinite-dimensional manifold. An abstract theory is developed for gradient flows in length spaces, which shows how degenerate convexity (or even non-convexity) | if uniformly controlled | will quantify contractivity (limit expansivity) of the flow.

On bilateral agreements: just a matter of matching

This paper aims at assessing the importance of the initial technological endowments when firms decide to establish a technological agreement. We propose a Bertrand duopoly model where firms evaluate the advantages they can get from the agreement according to its length. Allowing them to exploit a learning process, we depict a strict connection between the starting point and the final result. Moreover, as far as learning is evaluated as an iterative process, the set of initial conditions that lead to successful ventures switches from a continuum of values to a Cantor set.

Reduction, Linearization and stability of relative equilibria for mechanical systems on riemannian manifolds

Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry, and linearization along a controlled trajectory "commute." As part of the development, relationships are derived between the Jacobi equation of geodesic variation and concepts from reduction theory, such as the curvature of the mechanical connection and the effective potential. As an application of our techniques, fiber and base stability of relative equilibria are studied. The paper also serves as a tutorial of Riemannian geometric methods applicable in the intersection of mechanics and control theory.

Refilling meridians in a genus 2 handlebody complement

Suppose a genus two handlebody is removed from a 3-manifold M and then a single meridian of the handlebody is restored. The result is a knot or link complement in M and it is natural to ask whether geometric properties of the link complement say something about the meridian that was restored. Here we consider what the relation must be between two not necessarily disjoint meridians so that restoring each of them gives a trivial knot or a split link.