Some remarks on bifurcation analysis of a nonlinear vibrating system excited by a shape memory alloy material (SMA)

In this paper, the dynamical response of a coupled oscillator is investigated, taking in consideration the nonlinear behavior of a SMA spring coupling the two oscillators. Due to the nonlinear coupling terms, the system exhibits both regular and chaotic motions. The Poincaré sections for different sets of coupling parameters are verified. © 2011 World Scientific Publishing Company.

Generic bifurcation of refracted systems

In this article we discuss some qualitative and geometric aspects of non-smooth dynamical systems theory. Our goal is to study the diagram bifurcation of typical singularities that occur generically in one parameter families of certain piecewise smooth vector fields named Refracted Systems. Such systems has a codimension-one submanifold as its discontinuity set. © 2012 Elsevier Ltd.

Stability of trapped degenerate dipolar Bose and Fermi gases

Trapped degenerate dipolar Bose and Fermi gases of the cylindrical symmetry with the polarization vector along the symmetry axis are only stable for the strength of dipolar interaction below a critical value. In the case of bosons, the stability of such a dipolar Bose-Einstein condensate (BEC) is investigated for different strengths of contact and dipolar interactions using a variational approximation and a numerical solution of a mean-field model. In the disc shape, with the polarization vector perpendicular to the plane of the disc, the atoms experience an overall dipolar repulsion and this fact should contribute to the stability. However, a complete numerical solution of the dynamics leads to the collapse of a strongly disc-shaped dipolar BEC due to the long-range anisotropic dipolar interaction. In the case of fermions, the stability of a trapped single-component degenerate dipolar Fermi gas is studied including the Hartree-Fock exchange and Brueckner-Goldstone correlation energies in the local-density approximation valid for a large number of atoms. Estimates for the maximum allowed number of polar Bose and Fermi molecules in the BEC and degenerate Fermi gas are given. © 2013 IOP Publishing Ltd.

Existence of solutions for a class of degenerate quasilinear elliptic equation in R-N with vanishing potentials

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Positive Solution for a Class of Degenerate Quasilinear Elliptic Equations in R-N

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Information-entropic measure of energy-degenerate kinks in two-field models

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Hopf bifurcation in the full repressilator equations

In this paper, we prove that the full repressilator equations in dimension six undergo a supercritical Hopf bifurcation.

The Hopf bifurcation in the Shimizu-Morioka system

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Normal Forms for Polynomial Differential Systems in R-3 Having an Invariant Quadric and a Darboux Invariant

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Transmission coefficient and two-fold degenerate discrete spectrum of spin-1 bosons in a double-step potential

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Characterization of grazing bifurcation in airfoils with control surface freeplay nonlinearity

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Nuclear magnetic relaxation for the spin-degenerate Anderson model

A renormalization-group calculation of the temperature-dependent nuclear spin relaxation rate for a magnetic impurity in a metallic host is reported. The calculation follows a simplified procedure, which produces accurate rates in the low-temperature Fermi-liquid regime, although yielding only qualitatively reliable results at higher temperatures. In all cases considered, as the temperature T diminishes, the rates peak before decaying linearly to zero in the Fermi-liquid range. For T → 0, the results agree very well with Shiba's expression relating the low-temperature coefficient of the relaxation rate to the squared zero-temperature susceptibility. In the Kondo limit, the enhanced susceptibility associated with the Kondo resonance produces a very sharp peak in the relaxation rate near the Kondo temperature. © 1991.

Influência do dimorfismo sexual sobre a morfologia da siringe de galinha d'angola (Numida meleagris)

Este estudo teve como objetivo realizar uma descrição morfológica e comparativa da siringe, órgão responsável pelo canto das aves, na espécie Numida meleagris. Para isso foram utilizados cinco machos e cinco fêmeas de galinha d'angola, a fim de verificar a sintopia (traquéia, músculos traqueais) e o dimorfismo sexual da siringe. Verificou-se que a siringe se localiza na bifurcação da traquéia e apresenta maior número de cartilagens nos machos. Nos machos, a inserção do músculo traqueal lateral bem como a origem do músculo esterno traqueal localizam-se mais caudalmente e são mais largos em relação às fêmeas. As diferenças existentes entre machos e fêmeas de galinha d'angola revelam a elevada capacidade das fêmeas em produzir sons semelhantes a tô fraco enquanto que os machos emitem arrulhos e cacarejos.

Influência da escala na análise morfométrica de microbacias hidrográficas

In order to verify the different scales in physical analysis of watersheds, the geomorphic quantitative analysis was done to distinguish homogeneous areas within this land unit. The variables studied were the dimensions, drainage pattern and relief characteristics. The study area is the watershed of the Corrego da Cachoeira, São Paulo State, Brazil. The cartographic scale 1: 50000 (IBGE) and 1: 10000 (IGC) were used to delineate the drainage network and study the morphometric characteristics. The watershed is characterized as an exoreic, fluvial drainage with consequent streams and drainage pattern. The values of the drainage density, frequency of rivers and the ratio of bifurcation are considered low, indicating the formation of the soil on permeable rock. The low values suggested a watershed with relatively mild relief. The detail of the cartography mapping analysed with field study data showed higher values of hydrological compartments and length of the drainage network, reflecting changes in the results obtained on the physical variables analysed.

Begomovírus infectando a cultura de pimentão no estado de São Paulo

Vírus do gênero Begomovirus são transmitidos por mosca-branca Bemisia tabaci G., e constituem um dos problemas fitossanitários sérios em diversas culturas. Plantas de pimentão coletadas em oito regiões do Estado de São Paulo, foram submetidas a extração de DNA total e PCR com primers universais e degenerados para begomovírus, que amplificam parte da região codificadora para a proteína capsicial. Os dados indicam a presença de begomovírus em pimentão nas cinco regiões coletadas. Análise das seqüências do DNA viral e análise filogenética revelaram identidade com dois begomovírus nativo da América. Tomato severe rugose virus - ToSRV (AY029750) e com Tomato yellow vein streak virus (ToYVSV, AY829113), espécies descritas infectando tomateiro no Brasil. A presença de begomovírus em pimentão foi verificada nas regiões de Alvinlândia, Ubirajara, Botucatu, Elias-Fausto, Paulínia, Mogi Guaçu, Paranapanema e Pirajú.