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.

Marbles and stones of Hispania : exhibition catalogue = Marbres i pedres d'Hispania : catàleg de l'exposició = Mármoles y piedras de Hispania : catálogo de la exposición

Primera guia de materials lapidis hispànics explotats en època romana a la península Ibèrica. El treball recull 16 varietats, i té especial interès en la descripció de la geologia dels entorns de les explotacions. Entre els materials lapidis figuren, per exemple, marbres de la zona d’Estremoz (Portugal), broccatello (també anomanat jaspi de la Cinta, procedent de Tortosa), marbres de la zona de Macael (Andalusia) i la pedra de Buixcarró (València). També s'hi estudien amb detall els punts d’explotació (pedreres) i les diverses aplicacions donades a cada tipus de pedra. El llibre és trilingüe (anglès, català i castellà), està molt ben il·lustrat (en color) i s'ha publicat com a catàleg ampliat d'una exposició amb el mateix títol muntada en el marc de la IX Asmosia Internacional Conference (Tarragona, juny del 2009).

Under the Stones, the beach. Vínculos generacionales y pulsiones subversivas en el cine a través de los Rolling Stones

Este trabajo busca investigar el fenómeno de lo generacional en el cine a través de su relación con la música. Para ello, utiliza como punto de partida la filmografía de los Rolling Stones y aplica elconcepto de aura de Walter Benjamin. Así, explora las tensiones generacionales entre jóvenes y adultos, que se reflejan en los ámbitos del creador, la audiencia y la industria como tensiones entre invención y comercialización, entre libertad y represión o entre rebeldía y conservadurismo. De ese modo, procura identificar en la puesta en escena la capacidad contracultural del cine que apela a lo juvenil y oponerla a los simulacros oportunistas que utiliza el sistema de la industria cultural.

Comments on "On the relationship between fractal dimension and the performance of multi-resonant dipole antennas using Koch curves"

Comentaris referits a l'article següent: K. J. Vinoy, J. K. Abraham, and V. K. Varadan, “On the relationshipbetween fractal dimension and the performance of multi-resonant dipoleantennas using Koch curves,” IEEE Transactions on Antennas and Propagation, 2003, vol. 51, p. 2296–2303.

Plant uses in different bronze and iron age settlements from the Nuoro province (Sardinia). The results of phytolith analyses from several ceramic fragments and grinding stones.

Ceramic vessels and milling stones are important components of the archaeological record in several Nuraghi from the Pranemuru Plateau (Sardinia). To obtain information on the possible uses of the milling stones and the content vessels is of great interest to understand the economical activities carried out in these sites by these populations. One of the approaches to obtain information on the plant uses was the phytolith analyses of the sediment adhered both to the surface of the milling stones and to the surface of the vessel content. In total we analyzed eleven archaeological samples and two control samples collected from five different Nuraghi in the Pranemuru Plateau (Nuoro Province, Sardinia). The Nuraghi were located in an area of 10 km radius from nuraghe Arrubiu and were chronologically ascribed to the Bronze Age and one site -Pranu Illixi- to the Iron Age.

Does absorptive capacity determine collaborative research returns to innovation? A geographical dimension

This paper aims to estimate the impact of research collaboration with partners in different geographical areas on innovative performance. By using the Spanish Technological Innovation Panel, this study provides evidence that the benefits of research collaboration differ across different dimensions of the geography. We find that the impact of extra-European cooperation on innovation performance is larger than that of national and European cooperation, indicating that firms tend to benefit more from interaction with international partners as a way to access new technologies or specialized and novel knowledge that they are unable to find locally. We also find evidence of the positive role played by absorptive capacity, concluding that it implies a higher premium on the innovation returns to cooperation in the international case and mainly in the European one.

Multifractal dimension of chaotic attractors in a driven semiconductor superlattice

The multifractal dimension of chaotic attractors has been studied in a weakly coupled superlattice driven by an incommensurate sinusoidal voltage as a function of the driving voltage amplitude. The derived multifractal dimension for the observed bifurcation sequence shows different characteristics for chaotic, quasiperiodic, and frequency-locked attractors. In the chaotic regime, strange attractors are observed. Even in the quasiperiodic regime, attractors with a certain degree of strangeness may exist. From the observed multifractal dimensions, the deterministic nature of the chaotic oscillations is clearly identified.

The communicative dimension of landscape. A theoretical and applied proposal

The fusion of knowledge, the interrelationship of disciplines and, finally, the interaction of learning fields, provides new challenges for an auto denominated global society. The contemporary value of landscape, linked to the patent commodification of culture, the commercial construction of identities, the triumph of inauthenticity, of the induced representation or the economy of symbolism, open up great prospects for studying the symbolic value of landscape. The rapprochement of geographical praxis to the study of space intangibles, linked to the discovery of emotional geographies, besides the growing interest of communicational sciences on the territorial discourse, allow us to envisage a communicative study of landscape based on a fusion of geographical and communicational knowledge. The balancing of the variables: geography, landscape, emotion and communication, enables the progress towards analysing the emotionalisation of space to discern its intangible value, which emerges from the application of different communication techniques.