IN VITRO INCIDENCE of ROOT CANAL BIFURCATION IN MANDIBULAR INCISORS BY RADIOVISIOGRAPHY

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.

On the appearance of a Hopf bifurcation in a non-ideal mechanical problem

In this paper we studied a non-ideal system with two degrees of freedom consisting of a dumped nonlinear oscillator coupled to a rotatory part. We investigated the stability of the equilibrium point of the system and we obtain, in the critical case, sufficient conditions in order to obtain an appropriate Normal Form. From this, we get conditions for the appearance of Hopf Bifurcation when the difference between the driving torque and the resisting torque is small. It was necessary to use the Bezout Theorem, a classical result of Algebraic Geometry, in the obtaining of the foregoing results. (C) 2003 Elsevier Ltd. All rights reserved.

Quantum entanglement and fixed point Hopf bifurcation

We present the qualitative differences in the phase transitions of the mono-mode Dicke model in its integrable and chaotic versions. These qualitative differences are shown to be connected to the degree of entanglement of the ground state correlations as measured by the linear entropy. We show that a first order phase transition occurs in the integrable case whereas a second order in the chaotic one. This difference is also reflected in the classical limit: for the integrable case the stable fixed point in phase space undergoes a Hopf type whereas the second one a pitchfork type bifurcation. The calculation of the atomic Wigner functions of the ground state follows the same trends. Moreover, strong correlations are evidenced by its negative parts. (c) 2006 Elsevier B.V. All rights reserved.

Bifurcation of limit cycles from a centre in R-4 in resonance 1:N

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

3-Dimensional hopf bifurcation via averaging theory

We consider the Lorenz system ẋ = σ(y - x), ẏ = rx - y - xz and ż = -bz + xy; and the Rössler system ẋ = -(y + z), ẏ = x + ay and ż = b - cz + xz. Here, we study the Hopf bifurcation which takes place at q± = (±√br - b,±√br - b, r - 1), in the Lorenz case, and at s± = (c+√c2-4ab/2, -c+√c2-4ab/2a, c±√c2-4ab/2a) in the Rössler case. As usual this Hopf bifurcation is in the sense that an one-parameter family in ε of limit cycles bifurcates from the singular point when ε = 0. Moreover, we can determine the kind of stability of these limit cycles. In fact, for both systems we can prove that all the bifurcated limit cycles in a neighborhood of the singular point are either a local attractor, or a local repeller, or they have two invariant manifolds, one stable and the other unstable, which locally are formed by two 2-dimensional cylinders. These results are proved using averaging theory. The method of studying the Hopf bifurcation using the averaging theory is relatively general and can be applied to other 3- or n-dimensional differential systems.

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.

Teoria de singularidades e classificação de problemas de bifurcação Z2-equivariantes de Corank 2

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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)

Characterization of grazing bifurcation in airfoils with control surface freeplay nonlinearity

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

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.