972 resultados para Degenerate Hopf bifurcation


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This article critiques the contemporary focus on same-sex attracted youth, “antihomophobia,” and “safe schools,” as well as the ways these foci structure the logics of the prevailing policy approach. The author examines how contemporary antihomophobic reform in education is sustained by a series of false dilemmas: that the political demands and  investments of straights and nonstraights can be easily distinguished one from another; that the expression of homophobia is anathema to queer educative work; and that everything that is at stake in the messy confluence of sexuality, gender, and schooling can be made sense of by figuring the problem as a matter of being safe. Gesturing toward a queer social policy for schooling, this article critiques the “zero-tolerance” approach of antihomophobia education, arguing that it falsely bifurcates the social world of the school into homophobic/antihomophobic iterations, unsafe/safe versions, and straight/homosexual interest.

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In this paper, by using the Poincare compactification in R(3) we make a global analysis of the Lorenz system, including the complete description of its dynamic behavior on the sphere at infinity. Combining analytical and numerical techniques we show that for the parameter value b = 0 the system presents an infinite set of singularly degenerate heteroclinic cycles, which consist of invariant sets formed by a line of equilibria together with heteroclinic orbits connecting two of the equilibria. The dynamical consequences related to the existence of such cycles are discussed. In particular a possibly new mechanism behind the creation of Lorenz-like chaotic attractors, consisting of the change in the stability index of the saddle at the origin as the parameter b crosses the null value, is proposed. Based on the knowledge of this mechanism we have numerically found chaotic attractors for the Lorenz system in the case of small b > 0, so nearby the singularly degenerate heteroclinic cycles.

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In this paper we study the local codimension one and two bifurcations which occur in a family of three-dimensional vector fields depending on three parameters. An equivalent family, depending on five parameters, was recently proposed as a new chaotic system with a Lorenz-like butterfly shaped attractor and was studied mainly from a numerical point of view, for particular values of the parameters, for which computational evidences of the chaotic attractor was shown. In order to contribute to the understand of this new system we present an analytical study and the bifurcation diagrams of an equivalent three parameter system, showing the qualitative changes in the dynamics of its solutions, for different values of the parameters. (C) 2007 Elsevier Ltd. All rights reserved.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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

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

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Sequences of the coat protein amino acids of definitive and tentative species of carlaviruses deposited in GenBank were aligned and a region of seven amino acids (GLGVPTE) was found to be conserved. The corresponding nucleotides were aligned, allowing the design of a degenerate primer that together with an oligo dT anti-sense primer, was effective for the detection of three distinct carlavirus species, two transmitted by aphids and one by whitefly. These primers have the advantage that about 940 nt from the 3'-terminus, comprising part of the CP gene (about 60%), the 11 K gene, and the terminal untranslated region can be amplified for sequencing. The fact that this amino acid sequence is conserved in almost all of the sequenced carlaviruses, allows the prediction that this primer pair will be useful as a diagnostic tool for carlavirus species. (C) 2007 Elsevier B.V. All rights reserved.

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Objective: The aim of this study was to verify, in vivo and in vitro, the prevalence of root canal bifurcation in mandibular incisors by digital radiography. Material and Methods: Four hundred teeth were analyzed for the in vivo study. Digital radiographs were taken in an orthoradial direction from the mandibular incisor and canine regions. The digital radiographs of the canine region allowed visualizing the incisors in a distoradial direction using 20 degrees deviation. All individuals agreed to participate by signing an informed consent form. The in vitro study was conducted on 200 mandibular incisors positioned on a model, simulating the mandibular dental arch. Digital radiographs were taken from the mandibular incisors in both buccolingual and mesiodistal directions. Results: The digital radiography showed presence of bifurcation in 20% of teeth evaluated in vitro in the mesiodistal direction. In the buccolingual direction, 17.5% of teeth evaluated in vivo and 15% evaluated in vitro presented bifurcation or characteristics indicating bifurcation. Conclusions: Digital radiography associated with X-ray beam distally allowed detection of a larger number of cases of bifurcated root canals or characteristics of bifurcation.

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We consider a field theory with target space being the two dimensional sphere S-2 and defined on the space-time S-3 x R. The Lagrangean is the square of the pull-back of the area form on S-2. It is invariant under the conformal group SO(4, 2) and the infinite dimensional group of area preserving diffeomorphisms of S-2. We construct an infinite number of exact soliton solutions with non-trivial Hopf topological charges. The solutions spin with a frequency which is bounded above by a quantity proportional to the inverse of the radius of S-3. The construction of the solutions is made possible by an ansatz which explores the conformal symmetry and a U(1) subgroup of the area preserving diffeomorphism group.