Robust tori-like Lagrangian coherent structures

In general the term "Lagrangian coherent structure" (LCS) is used to make reference about structures whose properties are similar to a time-dependent analog of stable and unstable manifolds from a hyperbolic fixed point in Hamiltonian systems. Recently, the term LCS was used to describe a different type of structure, whose properties are similar to those of invariant tori in certain classes of two-dimensional incompressible flows. A new kind of LCS was obtained. It consists of barriers, called robust tori that block the trajectories in certain regions of the phase space. We used the Double-Gyre Flow system as the model. In this system, the robust tori play the role of a skeleton for the dynamics and block, horizontally, vortices that come from different parts of the phase space. (C) 2012 Elsevier B.V. All rights reserved.

Use of ground-penetrating radar to map subsurface features at the Lapa do Santo archaeological site (Brazil)

In this article we present some results of ground-penetrating radar (GPR) studies carried out at the Lapa do Santo archaeological site. This cave is within the Lagoa Santa karstic region, Minas Gerais State, Brazil. Results from 44 GPR profiles obtained with 400 MHz shielded antennas indicated anomalous hyperbolic reflections and areas with high sub-horizontal reflection amplitude suggesting archaeological and geological potential targets, respectively. These results were encouraging and were used to guide excavations at this site. Excavation of test units (metre by metre) allowed identifying an anthropogenic feature, e.g., a fire hearth structure and natural features, such as a stalagmite and top of bedrock. Results also indicated the importance of the GPR survey as a tool for orienting archaeological researches, increasing the probability of finding archaeological interest targets in an excavation program in an area of environmental protection.

Differential geometry of grassmannians and the Plucker map

Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For 'hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric embedding) that were previously known in the 'elliptic' case.

Representation and analysis of control surface freeplay nonlinearity

Different representations for a control surface freeplay nonlinearity in a three degree of freedom aeroelastic system are assessed. These are the discontinuous, polynomial and hyperbolic tangent representations. The Duhamel formulation is used to model the aerodynamic loads. Assessment of the validity of these representations is performed through comparison with previous experimental observations. The results show that the instability and nonlinear response characteristics are accurately predicted when using the discontinuous and hyperbolic tangent representations. On the other hand, the polynomial representation fails to predict chaotic motions observed in the experiments. (c) 2012 Elsevier Ltd. All rights reserved.

Regularity at infinity of real mappings and a Morse-Sard theorem

We prove a new Morse-Sard-type theorem for the asymptotic critical values of semi-algebraic mappings and a new fibration theorem at infinity for C-2 mappings. We show the equivalence of three different types of regularity conditions which have been used in the literature in order to control the asymptotic behaviour of mappings. The central role of our picture is played by the p-regularity and its bridge toward the rho-regularity which implies topological triviality at infinity.

EQUIVALENCE OF REAL MILNOR FIBRATIONS FOR QUASI-HOMOGENEOUS SINGULARITIES

We show that for real quasi-homogeneous singularities f : (R-m, 0) -> (R-2, 0) with isolated singular point at the origin, the projection map of the Milnor fibration S-epsilon(m-1) \ K-epsilon -> S-1 is given by f/parallel to f parallel to. Moreover, for these singularities the two versions of the Milnor fibration, on the sphere and on a Milnor tube, are equivalent. In order to prove this, we show that the flow of the Euler vector field plays and important role. In addition, we present, in an easy way, a characterization of the critical points of the projection (f/parallel to f parallel to) : S-epsilon(m-1) \ K-epsilon -> S-1.

Characterization of Stability Region for General Autonomous Nonlinear Dynamical Systems

The existing characterization of stability regions was developed under the assumption that limit sets on the stability boundary are exclusively composed of hyperbolic equilibrium points and closed orbits. The characterizations derived in this technical note are a generalization of existing results in the theory of stability regions. A characterization of the stability boundary of general autonomous nonlinear dynamical systems is developed under the assumption that limit sets on the stability boundary are composed of a countable number of disjoint and indecomposable components, which can be equilibrium points, closed orbits, quasi-periodic solutions and even chaotic invariant sets.

A continuously differentiable upwinding scheme for the simulation of fluid flow problems

This paper deals with the numerical solution of complex fluid dynamics problems using a new bounded high resolution upwind scheme (called SDPUS-C1 henceforth), for convection term discretization. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite volume/difference methodologies, either into the CLAWPACK software package for compressible flows or in the Freeflow simulation system for incompressible viscous flows. The performance of the proposed upwind non-oscillatory scheme is demonstrated by solving two-dimensional compressible flow problems, such as shock wave propagation and two-dimensional/axisymmetric incompressible moving free surface flows. The numerical results demonstrate that this new cell-interface reconstruction technique works very well in several practical applications. (C) 2012 Elsevier Inc. All rights reserved.

Modeling and simulation of severe slugging with mass transfer effects

A mathematical model and numerical simulations are presented to investigate the dynamics of gas, oil and water flow in a pipeline-riser system. The pipeline is modeled as a lumped parameter system and considers two switchable states: one in which the gas is able to penetrate into the riser and another in which there is a liquid accumulation front, preventing the gas from penetrating the riser. The riser model considers a distributed parameter system, in which movable nodes are used to evaluate local conditions along the subsystem. Mass transfer effects are modeled by using a black oil approximation. The model predicts the liquid penetration length in the pipeline and the liquid level in the riser, so it is possible to determine which type of severe slugging occurs in the system. The method of characteristics is used to simplify the differentiation of the resulting hyperbolic system of equations. The equations are discretized and integrated using an implicit method with a predictor-corrector scheme for the treatment of the nonlinearities. Simulations corresponding to severe slugging conditions are presented and compared to results obtained with OLGA computer code, showing a very good agreement. A description of the types of severe slugging for the three-phase flow of gas, oil and water in a pipeline-riser system with mass transfer effects are presented, as well as a stability map. (C) 2011 Elsevier Ltd. All rights reserved.

Stability boundary characterization of nonlinear autonomous dynamical systems in the presence of saddle-node equilibrium points

A dynamical characterization of the stability boundary for a fairly large class of nonlinear autonomous dynamical systems is developed in this paper. This characterization generalizes the existing results by allowing the existence of saddle-node equilibrium points on the stability boundary. The stability boundary of an asymptotically stable equilibrium point is shown to consist of the stable manifolds of the hyperbolic equilibrium points on the stability boundary and the stable, stable center and center manifolds of the saddle-node equilibrium points on the stability boundary.

Integrazione di tecnologie non distruttive per la caratterizzazione di rocce ornamentali

ABSTRACT: The dimension stone qualification through the use of non-destructive tests (NDT) is a relevant research topic for the industrial characterisation of finite products, because the competition of low-costs products can be sustained by an offer of highqualification and a top-guarantee products. The synthesis of potentialities offered by the NDT is the qualification and guarantee similar to the well known agro-industrial PDO, Protected Denomination of Origin. In fact it is possible to guarantee both, the origin and the quality of each stone product element, even through a Factory Production Control on line. A specific disciplinary is needed. A research developed at DICMA-Univ. Bologna in the frame of the “OSMATER” INTERREG project, allowed identifying good correlations between destructive and non-destructive tests for some types of materials from Verbano-Cusio-Ossola region. For example non conventional ultrasonic tests, image analysis parameters, water absorption and other measurements showed to be well correlated with the bending resistance, by relationships varying for each product. In conclusion it has been demonstrated that a nondestructive approach allows reaching several goals, among the most important: 1) the identification of materials; 2) the selection of products; 3) the substitution of DT by NDT. Now it is necessary to move from a research phase to the industrial implementation, as well as to develop new ND technologies focused on specific aims.

Sintesi e caratterizzazione di copolimeri a blocchi derivanti da acido lattico

I copolimeri derivanti da acido lattico, hanno attirato una grande attenzione, negli ultimi decenni, per le loro caratteristiche di biodegradabilità e biocompatibilità e per questo sono stati ampiamente studiati i loro metodi di sintesi e le loro proprietà. Il lavoro presentato parte dalla sintesi dei due monomeri trimetilene carbonato (TMC) e p-diossanone (PDO) da utilizzare poi nella formazione di copolimeri a blocchi con il lattide commerciale racemo e levogiro. Tali copolimeri dovrebbero presentare la proprietà di memoria di forma. Nell’elaborato sono presentate le diverse tecniche di polimerizzazione sperimentate per ognuno dei copolimeri sintetizzati: la prima parte riguarderà i copolimeri TMC-lattide, inizialmente con lattide racemo (DL-lattide) e poi, trovato un metodo di sintesi appropriato, approfondito con esempi di polimerizzazione TMC-L-lattide; la seconda parte esaminerà invece i copolimeri PDO-DL-lattide.

The Euler number of OGradys 10-dimensional symplectic manifold

Wir berechnen die Eulerzahl der 10-dimensionalen exzeptionellen irreduziblen symplektischen Mannigfaltigkeit, die von O Grady konstruiert wurde. Die Idee besteht darin, zunächst eine Lagrangefaserung zu konstruieren und dann die Eulerzahlen der Fasern zu berechnen. Es stellt sich heraus, dass fast alle Fasern die Eulerzahl 0 haben, und deswegen reduziert sich das Problem auf die Berechnung der Eulerzahlen der übrigen Fasern. Diese Fasern sind Modulräume von halbstabilen Garben auf singulären Kurven. Der Hauptteil dieser Dissertation ist der Berechnung der Eulerzahlen dieser Modulräume gewidmet. Diese Resultate sind von unabhängigem Interesse.

Le produzioni agroalimentari di qualità nelle aziende agricole dell’Emilia-Romagna: un’analisi comparativa con le aziende agricole convenzionali

Il tema dei prodotti agroalimentari di qualità ha ormai assunto un ruolo rilevante all’interno del dibattito riguardante l’agricoltura e l’economia agroalimentare, ponendosi al centro dell’interesse delle politiche europee (PAC post 2013, Pacchetto Qualità). La crescente attenzione verso le produzioni con marchio Dop\Igp mette però in luce la sostanziale carenza di informazioni dettagliate relativamente alle aziende che operano in questo comparto. Da questo punto di vista il VI° Censimento generale dell’agricoltura costituisce una preziosa fonte di informazioni statistiche. L’obiettivo di questo lavoro è quello di utilizzare i dati, ancora provvisori, del censimento per analizzare la struttura delle aziende con produzioni di qualità, ponendola in confronto con quella delle aziende convenzionali. Inoltre è stata fatta una classificazione delle aziende con prodotti Dop\Igp, in base alla rilevanza di queste produzioni sul reddito lordo aziendale. Le aziende sono quindi state classificate come “Specializzate” e “Miste”, con un’ulteriore distinzione di queste ultime tra quelle “Prevalentemente Dop\Igp” e quelle “Prevalentemente non Dop\Igp”. Tale ripartizione ha consentito una definizione dettagliata degli orientamenti produttivi delle aziende analizzate.

Cube Complexes and Virtual Fibering of 3-Manifolds.

Una 3-varietà si dice virtualmente fibrata se ammette un rivestimento finito che è un fibrato con base una circonferenza e fibra una superficie. In seguito al lavoro di geometrizzazione di Thurston e Perelman, la generica 3-varietà risulta essere iperbolica; un recente risultato di Agol afferma che una tale varietà è sempre virtualmente fibrata. L’ingrediente principale della prova consiste nell’introduzione, dovuta a Wise, dei complessi cubici nello studio delle 3-varietà iperboliche. Questa tesi si concentra sulle proprietà algebriche e geometriche di queste strutture combinatorie e sul ruolo che esse hanno giocato nella dimostrazione del Teorema di Fibrazione Virtuale.