Dynamics of turing patterns under spatiotemporal forcing

We study, both theoretically and experimentally, the dynamical response of Turing patterns to a spatiotemporal forcing in the form of a traveling-wave modulation of a control parameter. We show that from strictly spatial resonance, it is possible to induce new, generic dynamical behaviors, including temporally modulated traveling waves and localized traveling solitonlike solutions. The latter make contact with the soliton solutions of Coullet [Phys. Rev. Lett. 56, 724 (1986)] and generalize them. The stability diagram for the different propagating modes in the Lengyel-Epstein model is determined numerically. Direct observations of the predicted solutions in experiments carried out with light modulations in the photosensitive chlorine dioxide-iodine-malonic acid reaction are also reported.

Width and serialization of classical planning problems

We introduce a width parameter that bounds the complexity of classical planning problems and domains, along with a simple but effective blind-search procedure that runs in time that is exponential in the problem width. We show that many benchmark domains have a bounded and small width provided thatgoals are restricted to single atoms, and hence that such problems are provably solvable in low polynomial time. We then focus on the practical value of these ideas over the existing benchmarks which feature conjunctive goals. We show that the blind-search procedure can be used for both serializing the goal into subgoals and for solving the resulting problems, resulting in a ‘blind’ planner that competes well with a best-first search planner guided by state-of-the-art heuristics. In addition, ideas like helpful actions and landmarks can be integrated as well, producing a planner with state-of-the-art performance.

Parametric Approach to Blind Deconvolution of Nonlinear Channels

A parametric procedure for the blind inversion of nonlinear channels is proposed, based on a recent method of blind source separation in nonlinear mixtures. Experiments show that the proposed algorithms perform efficiently, even in the presence of hard distortion. The method, based on the minimization of the output mutual information, needs the knowledge of log-derivative of input distribution (the so-called score function). Each algorithm consists of three adaptive blocks: one devoted to adaptive estimation of the score function, and two other blocks estimating the inverses of the linear and nonlinear parts of the channel, (quasi-)optimally adapted using the estimated score functions. This paper is mainly concerned by the nonlinear part, for which we propose two parametric models, the first based on a polynomial model and the second on a neural network, while [14, 15] proposed non-parametric approaches.

Generation of symmetric periodic orbits by a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2 in R3

In this paper we will find a continuous of periodic orbits passing near infinity for a class of polynomial vector fields in R3. We consider polynomial vector fields that are invariant under a symmetry with respect to a plane and that possess a “generalized heteroclinic loop” formed by two singular points e+ and e− at infinity and their invariant manifolds � and . � is an invariant manifold of dimension 1 formed by an orbit going from e− to e+, � is contained in R3 and is transversal to . is an invariant manifold of dimension 2 at infinity. In fact, is the 2–dimensional sphere at infinity in the Poincar´e compactification minus the singular points e+ and e−. The main tool for proving the existence of such periodic orbits is the construction of a Poincar´e map along the generalized heteroclinic loop together with the symmetry with respect to .

Symmetric periodic orbits near a heteroclinic loop in R3 formed by two singular points, a semistable periodic orbit and their invariant manifolds

In this paper we consider C1 vector fields X in R3 having a “generalized heteroclinic loop” L which is topologically homeomorphic to the union of a 2–dimensional sphere S2 and a diameter connecting the north with the south pole. The north pole is an attractor on S2 and a repeller on . The equator of the sphere is a periodic orbit unstable in the north hemisphere and stable in the south one. The full space is topologically homeomorphic to the closed ball having as boundary the sphere S2. We also assume that the flow of X is invariant under a topological straight line symmetry on the equator plane of the ball. For each n ∈ N, by means of a convenient Poincar´e map, we prove the existence of infinitely many symmetric periodic orbits of X near L that gives n turns around L in a period. We also exhibit a class of polynomial vector fields of degree 4 in R3 satisfying this dynamics.

Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2

In this paper we consider vector fields in R3 that are invariant under a suitable symmetry and that posses a “generalized heteroclinic loop” L formed by two singular points (e+ and e −) and their invariant manifolds: one of dimension 2 (a sphere minus the points e+ and e −) and one of dimension 1 (the open diameter of the sphere having endpoints e+ and e −). In particular, we analyze the dynamics of the vector field near the heteroclinic loop L by means of a convenient Poincar´e map, and we prove the existence of infinitely many symmetric periodic orbits near L. We also study two families of vector fields satisfying this dynamics. The first one is a class of quadratic polynomial vector fields in R3, and the second one is the charged rhomboidal four body problem.

Respeto o vampirización. El arte como"almacén" inagotable de ideas creativas al alcance de la publicidad

Since the begínning ofAdvertising, art has been a source ofinexhaustible inspiration for the advertising creative, who have used or misused it with any limits. With more or less direct references to artists, pieces or art movements, to references to the act ofart creation itself and certain aesthetic categories. Taking into account the various semantic versions that art offers, with multiple connotative lectures, this use has not been much profitable in many occasions, not as much as it could have been. However, in other circumstances, thís use has been vampirizing, only preoccupied for the audience impact ofa well knowll reference, but despising it and reducing it to a mere reclaim. In the case ofGiocconda by Leonardo da Vinci or the Birth ofVenus by Bottícelli are significant examples ofthis use, maybe popular, ofthe art productíon. That is to say that the depository was used as a source ofreferences to enrich the lectures ofthe advertising pieces (for instance, the excellent Citroen Xsara Picasso advertisement with the fordism mass production chain) or ¡ust to allow a higher t1Otoriety (like the Chupa-Chups advertisement where the Mona Lisa heartily sucks one ofthe mythical sweets with a stick). Thanks to a selected advertising pieces, graphical and audiovisual, we will be able to go through this kind ofadvertising creation logistics, from the moment that this one decided to call out these art references that were sleeping dreamingly Oll the fair in a depository until this strictly cultural moment came.

A(-infinity)-interpolation in the ball

We give a necessary and sufficient condition for a sequence [ak}k in the unit ball of C° to be interpolating for the class A~°° of holomorphic functions with polynomial growth. The condition, which goes along the lines of the ones given by Berenstein and Li for some weighted spaces of entire functions and by Amar for H°° functions in the ball, is given in terms of the derivatives of m > n functions F Fm e A~°° vanishing on {ak)k.

Global periodicity conditions for maps and recurrences via Normal Forms

We face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. Using these tools we can find a finite set of values p for which the map can be p-periodic, reducing the problem of finding the parameters for which the periodic cases appear to simple computations. We apply our results to several two and three dimensional classes of polynomial or rational maps. In particular we find the global periodic cases for several Lyness type recurrences

On the connectivity of the escaping set for complex exponential Misiurewicz parameters

Let $ E_{\lambda}(z)=\lambda {\rm exp}(z), \lambda\in \mathbb{C}$, be the complex exponential family. For all functions in the family there is a unique asymptotic value at 0 (and no critical values). For a fixed $ \lambda$, the set of points in $ \mathbb{C}$ with orbit tending to infinity is called the escaping set. We prove that the escaping set of $ E_{\lambda}$ with $ \lambda$ Misiurewicz (that is, a parameter for which the orbit of the singular value is strictly preperiodic) is a connected set.

The normal distribution in some constrained sample spaces

Phenomena with a constrained sample space appear frequently in practice. This is the case e.g. with strictly positive data, or with compositional data, like percentages or proportions. If the natural measure of difference is not the absolute one, simple algebraic properties show that it is more convenient to work with a geometry different from the usual Euclidean geometry in real space, and with a measure different from the usual Lebesgue measure, leading to alternative models which better fit the phenomenon under study. The general approach is presented and illustrated using the normal distribution, both on the positive real line and on the D-part simplex. The original ideas of McAlister in his introduction to the lognormal distribution in 1879, are recovered and updated

Equidistribution of Fekete Points on the Sphere

Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of Fekete points in the sphere. The way we proceed is by showing their connection to other arrays of points, the so-called Marcinkiewicz-Zygmund arrays and interpolating arrays, that have been studied recently.

Gestió dels recursos docents en el marc de l'EEES

L'Espai Europeu d'Educació Superior comporta un canvi de paradigma molt important, com ésl'adopció d'un procés d'aprenentatge basat en l'adquisició i desenvolupament de competències mitjançant activitats, relegant els continguts a un segon terme. El propi concepte d'activitat inclou i combina elements molt diversos que involucren recursos docents de tota mena, tot abastant un ventall més ampli del que s'entén estrictament per contingut en el sentit tradicional. És necessari, doncs, plantejar-se una gestió dels recursos docents orientada a facilitar la creació d'itineraris formatius que permetin als estudiants assolir les competències desitjades, així com complementar la seva formació. En lloc de proporcionar els continguts directament als estudiants, l'objectiu és aconseguir un procés d'aprenentatge centrat en l'usuari mitjançant la formació que els permeti ser autònoms en la localització, l'ús i fins i tot la generació de continguts necessaris en cada activitat.

Relevance of death receptors in nervous system: role in the pathogenesis of neurodegenerative diseases and targets for therapy

L’apoptosi és un procés fisiològic que controla el nombre de cèl·lules en organismes superiors. L’apoptosi està estrictament regulada i s’ha vist que està implicada en la patogènesi d’algunes malalties del sistema nerviós. En aquest sentit, un excés de mort cel·lular contribueix a les malalties neurodegenerati- ves, mentre que, el seu dèficit és una de les raons del desenvolupament de tumors. El punt principal de regulació del procés apoptòtic és l’activació de les caspases, cisteïna-proteases que tenen especificitat pels residus aspàrtic. Les caspases es poden activar per dos mecanismes principals: (1) alliberament de citocrom C dels mitocondris alterats al citoplasma i (2) l’activació dels receptors de la membrana anomenats receptors de mort (DR, de l’anglès death receptor). Aquests receptors s’han caracteritzat extensament en el sistema immunitari, mentre que en el sistema nerviós les seves funcions són encara desconegudes. El present article se centra en el paper dels DR en la patogènesi de malalties neurodegeneratives i suggereix el seu potencial des del punt de vista terapèutic. També es descriuen diverses molècules intracel·lulars caracteritzades per la seva habilitat en la modulació dels DR. Entre elles, presentem dues noves proteïnes – lifeguard i FAIM – que s’expressen específicament al sistema nerviós.

Weierstrass integrability of differential equations

The integrability problem consists in finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral. We define {\it Weierstrass integrability} and we determine which Weierstrass integrable systems are Liouvillian integrable. Inside this new class of integrable systems there are non--Liouvillian integrable systems.