Full instability behavior of N-dimensional dynamical systems with a one-directional nonlinear vector field

We show how certain N-dimensional dynamical systems are able to exploit the full instability capabilities of their fixed points to do Hopf bifurcations and how such a behavior produces complex time evolutions based on the nonlinear combination of the oscillation modes that emerged from these bifurcations. For really different oscillation frequencies, the evolutions describe robust wave form structures, usually periodic, in which selfsimilarity with respect to both the time scale and system dimension is clearly appreciated. For closer frequencies, the evolution signals usually appear irregular but are still based on the repetition of complex wave form structures. The study is developed by considering vector fields with a scalar-valued nonlinear function of a single variable that is a linear combination of the N dynamical variables. In this case, the linear stability analysis can be used to design N-dimensional systems in which the fixed points of a saddle-node pair experience up to N21 Hopf bifurcations with preselected oscillation frequencies. The secondary processes occurring in the phase region where the variety of limit cycles appear may be rather complex and difficult to characterize, but they produce the nonlinear mixing of oscillation modes with relatively generic features

Simulations of parasitic and intrinsic capacitances related to Multiple-Gate-Field-Effect Transistor architectures

Report for the scientific sojourn carried out at the Université Catholique de Louvain, Belgium, from March until June 2007. In the first part, the impact of important geometrical parameters such as source and drain thickness, fin spacing, spacer width, etc. on the parasitic fringing capacitance component of multiple-gate field-effect transistors (MuGFET) is deeply analyzed using finite element simulations. Several architectures such as single gate, FinFETs (double gate), triple-gate represented by Pi-gate MOSFETs are simulated and compared in terms of channel and fringing capacitances for the same occupied die area. Simulations highlight the great impact of diminishing the spacing between fins for MuGFETs and the trade-off between the reduction of parasitic source and drain resistances and the increase of fringing capacitances when Selective Epitaxial Growth (SEG) technology is introduced. The impact of these technological solutions on the transistor cut-off frequencies is also discussed. The second part deals with the study of the effect of the volume inversion (VI) on the capacitances of undoped Double-Gate (DG) MOSFETs. For that purpose, we present simulation results for the capacitances of undoped DG MOSFETs using an explicit and analytical compact model. It monstrates that the transition from volume inversion regime to dual gate behaviour is well simulated. The model shows an accurate dependence on the silicon layer thickness,consistent withtwo dimensional numerical simulations, for both thin and thick silicon films. Whereas the current drive and transconductance are enhanced in volume inversion regime, our results show thatintrinsic capacitances present higher values as well, which may limit the high speed (delay time) behaviour of DG MOSFETs under volume inversion regime.

Computation of an integral basis of a quartic number field

"Vegeu el resum a l'inici del document del fitxer adjunt."

Computation of an integral basis of quartic number field

"Vegeu el resum a l'inici del document del fitxer ajunt."

Continuity of set-valued maps revisited in the light of tame geometry

Continuity of set-valued maps is hereby revisited: after recalling some basic concepts of variational analysis and a short description of the State-of-the-Art, we obtain as by-product two Sard type results concerning local minima of scalar and vector valued functions. Our main result though, is inscribed in the framework of tame geometry, stating that a closed-valued semialgebraic set-valued map is almost everywhere continuous (in both topological and measure-theoretic sense). The result –depending on stratification techniques– holds true in a more general setting of o-minimal (or tame) set-valued maps. Some applications are briefly discussed at the end.

A functional equation related to the product in a quadratic number field

"Vegeu el resum a l'inici del document del fitxer adjunt."

L'aprenentatge basat en problemes (PBL) en la regulació del metabolisme. Desenvolupament del portal per a l'intercanvi d'experiències en PBL en ciències biomèdiques

L’aprenentatge basat en problemes està en fase experimental en tot el món i és objecte d’anàlisi i reflexió en moltes reunions internacionals. Tanmateix, no hi ha massa feina feta en aquesta direcció en el nostre camp més proper. Hem elaborat problemes per l’aprenentatge de la Regulació del Metabolisme i els hem incorporat a un porta virtual (http://www.ub.edu/GID-BBM). La finalitat d’aquesta estratègia és que mitjançant l’aprenentatge basat en problemes reals o simulacions de problemes reals s’aconsegueixi motivar l’alumnat a treballar de forma continuada durant tot el curs. La millora dels resultats acadèmics haurà de ser la conseqüència lògica d’aquest treball. La finalitat última del projecte que hem desenvolupat és preparar l’alumnat per la seva futura activitat professional a on serà molt important i valorat la seva capacitat de resposta davant de diferents problemes

Extensional flow of nematic liquid crystal under electric field gradient

Systematic asymptotic methods are used to formulate a model for the extensional flow of a thin sheet of nematic liquid crystal. With no external body forces applied, the model is found to be equivalent to the so-called Trouton model for Newtonian sheets (and fi bers), albeit with a modi fied "Trouton ratio". However, with a symmetry-breaking electric field gradient applied, behavior deviates from the Newtonian case, and the sheet can undergo fi nite-time breakup if a suitable destabilizing field is applied. Some simple exact solutions are presented to illustrate the results in certain idealized limits, as well as sample numerical results to the full model equations.

Estudi amb georadar del jaciment arqueològic de Lady Field (Woolston Manor Farm, Somerset, Gran Bretanya)

Projecte de recerca elaborat a partir d’una estada al University of Bristol, Gran Bretanya, durant agost i setembre del 2007. Els objectius del projecte d’estudi del jaciment de Lady Field (Woolston Manor Farm, Somerset, Gran Bretanya) eren, bàsicament, tres: en primer lloc, posar en pràctica els coneixements teòrics assolits durant la formació en prospecció geofísica; en segon lloc, aportar informació complementària a la aportada per la prospecció tradicional i el sondeig amb gradiòmetre magnètic efectuades prèviament per l’equip investigador del centre, arribant a definir millor les estructures poc definides per l’altre sistema i, finalment, obtenir un cas d’estudi sobre un jaciment medieval a Gran Bretanya, on les condicions geològiques i climàtiques, que afecten els resultats de la prospecció, són diferents a les del nostre país. Aquests objectius s’han assolit, ja que s’ha pogut portar a terme una prospecció de camp amb el sistema de georadar, processar les dades i obtenir-ne dades de qualitat i obtenir informació útil i rellevant de cara a la definició de les restes detectades, una vegada feta la interpretació. Els resultats mostren l’aparició en el subsòl del jaciment de quatre possibles fases d’ocupació, entre les que destaquen un moment amb possibles restes d’una antiga xarxa urbana, treballs agrícoles o un sistema de drenatge del terreny. Finalment l’estudi ha pogut constatar que la prospecció amb GPR en aquestes condicions geològiques és possible, tot i que les climàtiques –essencialment la pluja i la humitat del sòl- suposen complicacions a l’hora d’adquirir dades de forma segura per la maquinària i per la qualitat de les dades.

Higher education as formation of the self and citizenship: an ethnography of the University Students from Amman, Jordan

My interest in higher education and citizenship in the Middle East at large and in Jordan in particular is fostered by some of the reflections Eickelman proposed (1992). Being a quite recent phenomenon, intimately linked with the more general topic of state formation it seemed to me more suitable to study it in a little country with a recent history (a field study left almost unexplored until now as far as Jordan is concerned, to the best of my knowledge, since Antoun 1994 focuses on the migration as a quest for higher education). The process of state formation in Jordan is quite studied. I thus intended to study the higher education policies as an attempt both to create a national citizenry and more recently as a way of controlling the more problematic part of the population (youth, which constitutes more than the double of the population. See UNDP and Ministry of Planning 2000). How do the young students enter the university system, and in which way does this system work? How is this system designed, in order to retain social control of the students (since they are usually perceived to be a factor of social and political instability, as in Iran or in Egypt)? Is there any significant difference between different faculties? And if so, why? My conclusions at this stage are that the university system is an integral part of the survival of the regime. The system works quite well, and Jordan has one of the best educational position in the region. Yet there are important distinctions to be made: the access to the better faculties is socially selective while the less valued faculties are left to the poorer and less wealthy youth. This results in a different treatment of the students and of the courses that I analysed. In the better faculties the teaching standards are quite high, and the relationship between professors and students is almost on a same-level base, while in the less privileged faculties the opposite is true. Thus we can observe a concrete politics of divide et impera intended to split the youth in two. For the more privileged there are some freedoms, both within and outside classes, designed I guess at forging them as autonomous individuals. On the opposite the less privileged are kept under tight control, even if also these students are a privileged category among youth at large.

Art contemporani xinès en el segle XXI : introducció a la pugna entre la creació i el mercat a través de cinc artistes destacats i les seves cotitzacions en les subhastes

En el relativament breu lapse de temps que suposen les tres darreres dècades, l'art contemporani xinès ha passat de ser pràcticament invisible i desconegut per al públic general, a ser present en un gran nombre d'escenaris a nivell internacional relacionats amb el món de l'art, sobre tot des de finals de la dècada dels noranta. El present TdR ha intentat apropar-se a qüestions com la imatge i les idees que sobre la RP Xina s'han transmès en l'última dècada a través de les obres o de les accions dels artistes xinesos contemporanis més exposats o cotitzats internacionalment i que viuen a la Xina, i a com s'ha arribat a inserir la producció artística d'aquests autors en el procés de globalització i hibridació de la cultura que estem vivint. Hem delimitat el camp de recerca, bàsicament a l'estudi de l'obra de cinc autors (Song Dong, Ai Weiwei, Zeng Fanzhi, Yue Minjun i Wang Qingsong) i a la seva presència en l'escena internacional de l'art contemporani a través de les subhastes de les dues cases més importants del món, Christie's i Sotheby's.

WMR navigation using local potential field corridors and narrow local occupancy grid perception

Path planning and control strategies applied to autonomous mobile robots should fulfil safety rules as well as achieve final goals. Trajectory planning applications should be fast and flexible to allow real time implementations as well as environment interactions. The methodology presented uses the on robot information as the meaningful data necessary to plan a narrow passage by using a corridor based on attraction potential fields that approaches the mobile robot to the final desired configuration. It employs local and dense occupancy grid perception to avoid collisions. The key goals of this research project are computational simplicity as well as the possibility of integrating this method with other methods reported by the research community. Another important aspect of this work consist in testing the proposed method by using a mobile robot with a perception system composed of a monocular camera and odometers placed on the two wheels of the differential driven motion system. Hence, visual data are used as a local horizon of perception in which trajectories without collisions are computed by satisfying final goal approaches and safety criteria

Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories

The k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic formulation of mechanics. It will be shown that this relationship also stands in the presymplectic case. In a natural way,one can mimick the presymplectic constraint algorithm to obtain a constraint algorithmthat can be applied to k-presymplectic field theory, and more particularly to the Lagrangian and Hamiltonian formulations offield theories defined by a singular Lagrangian, as well as to the unified Lagrangian-Hamiltonian formalism (Skinner--Rusk formalism) for k-presymplectic field theory. Two examples of application of the algorithm are also analyzed.