Stable singularities of co-rank one quasi homogeneous map germs from (ℂn+1, 0) to (ℂn, 0), n = 2, 3

In this article, we investigate the geometry of quasi homogeneous corank one finitely determined map germs from (ℂn+1, 0) to (ℂn, 0) with n = 2, 3. We give a complete description, in terms of the weights and degrees, of the invariants that are associated to all stable singularities which appear in the discriminant of such map germs. The first class of invariants which we study are the isolated singularities, called 0-stable singularities because they are the 0-dimensional singularities. First, we give a formula to compute the number of An points which appear in any stable deformation of a quasi homogeneous co-rank one map germ from (ℂn+1, 0) to (ℂn, 0) with n = 2, 3. To get such a formula, we apply the Hilbert's syzygy theorem to determine the graded free resolution given by the syzygy modules of the associated iterated Jacobian ideal. Then we show how to obtain the other 0-stable singularities, these isolated singularities are formed by multiple points and here we use the relation among them and the Fitting ideals of the discriminant. For n = 2, there exists only the germ of double points set and for n = 3 there are the triple points, named points A1,1,1 and the normal crossing between a germ of a cuspidal edge and a germ of a plane, named A2,1. For n = 3, there appear also the one-dimensional singularities, which are of two types: germs of cuspidal edges or germs of double points curves. For these singularities, we show how to compute the polar multiplicities and also the local Euler obstruction at the origin in terms of the weights and degrees. © 2013 Pushpa Publishing House.

Quasi-homologous spherically symmetric branes and their symmetry breaking

We revisit the dynamical system-based approach of spherically symmetric vacuum braneworlds, pointing out and studying the existence of a transcritical bifurcation as the dark pressure parameter changes its sign, we analyze some consequences of not discard the brane cosmological constant. For instance, it is noteworthy that the existence of an isothermal state equation between the dark fluid parameters cannot be obtained via the requirement of a quasi-homologous symmetry of the vacuum. © 2013 Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica.

Bright solitons in quasi-one-dimensional dipolar condensates with spatially modulated interactions

We introduce a model for the condensate of dipolar atoms or molecules, in which the dipole-dipole interaction (DDI) is periodically modulated in space due to a periodic change of the local orientation of the permanent dipoles, imposed by the corresponding structure of an external field (the necessary field can be created, in particular, by means of magnetic lattices, which are available to the experiment). The system represents a realization of a nonlocal nonlinear lattice, which has a potential to support various spatial modes. By means of numerical methods and variational approximation (VA), we construct bright one-dimensional solitons in this system and study their stability. In most cases, the VA provides good accuracy and correctly predicts the stability by means of the Vakhitov-Kolokolov criterion. It is found that the periodic modulation may destroy some solitons, which exist in the usual setting with unmodulated DDI and can create stable solitons in other cases, not verified in the absence of modulations. Unstable solitons typically transform into persistent localized breathers. The solitons are often mobile, with inelastic collisions between them leading to oscillating localized modes. © 2013 American Physical Society.

Uma adaptação do método barreira penalidade quasi-Newton ao problema de fluxo de potência ótimo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Resource flows to the Caribbean in the 1980s

Includes bibliography

Trade and investment flows between the Caribbean and the rest of the hemisphere in the context of the FTAA

Includes bibliography

Analysis of trade flows between Puerto Rico and CARICOM and prospects for integration

Includes bibliography

Capital flows to Latin America: third quarter 2001

Events in Argentina dominated most of the third quarter of 2001 until September 11, when the terrorist attacks against the United States prompted a sell-off of emerging markets assets, increasing uncertainty and risk aversion against a background of global economic slowdown. Emerging markets' short term prospects to tap international capital markets deteriorated significantly. In the third quarter of 2001, Latin American countries issued US$7.6 billion in bonds, following US$11.2 billion in the second quarter and US$13.2 billion in the first quarter, which had been a jump from only US$2.9 billion in the last quarter of 2000. At first, it seemed that the pace of debt issuance would slow down considerably given Argentina's troubles in July, as Argentina's bond auction at the beginning of the month was poorly received, forcing the government to shorten the maturity of the new debt and to pay rates as high as those during the Russian crisis in 1998. By August, however, emerging markets rebounded strongly on the back of a new US$8 billion IMF assistance package to Argentina, with both Mexico and Brazil successfully launching large issues. International markets displayed considerable flexibility as investors gave Mexico's US$1.5 billion 30- year bond and Brazil's JPY200 billion two-year samurai issue a warm reception. This return to capital markets was interrupted by the events of September 11, which caused debt issuance to fall sharply in September and October. Following the events of September 11, EMBI+ spreads widened above 1,000 basis points for the first time in nearly two years. According to J.P. Morgan there was a 3.7% market decline in September, which brought year-to-date returns for the EMBI+ to only 0.06%. Emerging markets debt, however, fared better than most other fixed income and equity markets in the immediate aftermath of the attacks. U.S. high-yield market suffered its worst month since August 1998, declining by 6.5%, while the S&P 500 and Nasdaq declined by 8.2% and 17%, respectively. Emerging equity markets suffered even greater declines, with losses as severe as 24% in local currency terms and 31% in U.S. dollar terms.

Capital flows to Latin America: first quarter 2002

Includes bibliography

Capital flows to Latin America: second quarter 2002

Includes bibliography