Contraste e alteridade na viagem contemporânea

No mundo contemporâneo globalizado, definido pela sua qualidade essencialmente fluida e instável, o carácter distintivo da viagem parece dissolver-se face à contracção do planeta, à economia das ―trocas simbólicas‖ e a um alegado processo de diluição das diferenças e de homogeneização cultural. Com efeito, a mediatização da sociedade e a proliferação icónica contemporâneas produzem um aparente estado de saturação da geografia real e de multiplicação de lugares enquanto representações e imagens, permitindo pôr em causa a própria necessidade e urgência de deslocação, bem como admitir a abolição do ―estatuto de privilégio‖ de certos lugares e a derradeira quebra no conceito aurático das férias e das viagens, tradicionalmente assente em antinomias cruciais entre o quotidiano/familiar e o diferente/extraordinário. O presente artigo propõe-se abordar o paradigma da mobilidade contemporânea, nomeadamente no que diz respeito à traumática aniquilação do espaço e do tempo e ao seu impacto fortemente disruptivo sobre a dimensão ontológica de uma prática cultural cujo poder aurático se encontra tradicionalmente relacionado com a conquista de distâncias, a percepção de diferenças e a experiência de alteridade. O artigo pretende, por outro lado, refutar a declaração pós-moderna de que a familiarização com o outro conduz a uma diminuição do potencial de choque cultural no turismo contemporâneo, discutindo a relevância e a prevalência da busca de contraste e formas de vivência de alteridade no complexo novelo de motivações da viagem turística contemporânea.

Fractional dynamics and MDS visualization of earthquake phenomena

This paper analyses earthquake data in the perspective of dynamical systems and fractional calculus (FC). This new standpoint uses Multidimensional Scaling (MDS) as a powerful clustering and visualization tool. FC extends the concepts of integrals and derivatives to non-integer and complex orders. MDS is a technique that produces spatial or geometric representations of complex objects, such that those objects that are perceived to be similar in some sense are placed on the MDS maps forming clusters. In this study, over three million seismic occurrences, covering the period from January 1, 1904 up to March 14, 2012 are analysed. The events are characterized by their magnitude and spatiotemporal distributions and are divided into fifty groups, according to the Flinn–Engdahl (F–E) seismic regions of Earth. Several correlation indices are proposed to quantify the similarities among regions. MDS maps are proven as an intuitive and useful visual representation of the complex relationships that are present among seismic events, which may not be perceived on traditional geographic maps. Therefore, MDS constitutes a valid alternative to classic visualization tools for understanding the global behaviour of earthquakes.

On development of fractional calculus during the last fifty years

Fractional calculus generalizes integer order derivatives and integrals. During the last half century a considerable progress took place in this scientific area. This paper addresses the evolution and establishes an assertive measure of the research development.

Fractional generalization of memristor and higher order elements

Fractional calculus generalizes integer order derivatives and integrals. Memristor systems generalize the notion of electrical elements. Both concepts were shown to model important classes of phenomena. This paper goes a step further by embedding both tools in a generalization considering complex-order objects. Two complex operators leading to real-valued results are proposed. The proposed class of models generate a broad universe of elements. Several combinations of values are tested and the corresponding dynamical behavior is analyzed.

Overproduction of the english definitive article by portuguese learners: a cross-sectional study

The English article system is actually so complex that it presents many challenges for most non-native learners of English. The main difficulty of Portuguese learners, despite the numerous similarities between the two article systems, is noticeable in a marked tendency to produce the definite article where native speakers of English would not use it. This article reports the results of a cross-sectional study which examined the English definite article overproduction by a group of 12 Portuguese EFL learners with at least seven years of English instruction. The prediction is that these learners will exhibit evidence of transferring L1 features to their interlanguage when they overuse the definite article. The data were collected by means of a gap-filling task and a composition. The results found, as predicted, that these learners overused the in generic contexts. It is argued that this overuse is directly tied to and can be explained by transfer to somewhere and conceptual transfer principles.

A Review of Operational Matrices and Spectral Techniques for Fractional Calculus

Recently, operational matrices were adapted for solving several kinds of fractional differential equations (FDEs). The use of numerical techniques in conjunction with operational matrices of some orthogonal polynomials, for the solution of FDEs on finite and infinite intervals, produced highly accurate solutions for such equations. This article discusses spectral techniques based on operational matrices of fractional derivatives and integrals for solving several kinds of linear and nonlinear FDEs. More precisely, we present the operational matrices of fractional derivatives and integrals, for several polynomials on bounded domains, such as the Legendre, Chebyshev, Jacobi and Bernstein polynomials, and we use them with different spectral techniques for solving the aforementioned equations on bounded domains. The operational matrices of fractional derivatives and integrals are also presented for orthogonal Laguerre and modified generalized Laguerre polynomials, and their use with numerical techniques for solving FDEs on a semi-infinite interval is discussed. Several examples are presented to illustrate the numerical and theoretical properties of various spectral techniques for solving FDEs on finite and semi-infinite intervals.

An efficient numerical scheme for solving multi-dimensional fractional optimal control problems with a quadratic performance index

The shifted Legendre orthogonal polynomials are used for the numerical solution of a new formulation for the multi-dimensional fractional optimal control problem (M-DFOCP) with a quadratic performance index. The fractional derivatives are described in the Caputo sense. The Lagrange multiplier method for the constrained extremum and the operational matrix of fractional integrals are used together with the help of the properties of the shifted Legendre orthonormal polynomials. The method reduces the M-DFOCP to a simpler problem that consists of solving a system of algebraic equations. For confirming the efficiency and accuracy of the proposed scheme, some test problems are implemented with their approximate solutions.