Unlike more usual fractional operators with names now comonly agreed, like Caputo derivative or Riemann-Liouville derivative, there is no unanimous designated name for the operators presented here, that have unbounded integration intervals. Drawing inspiration from several sources, they are named after Weyl in the rest of the document.
Time-periodic solutions of dynamical systems can be looked for using a discretization method. This paper tests the Harmonic Balance Method (HBM) on a one-degree-of-freedom system (mass, damper, spring, belt) with a regularized friction law. Its relative error is computed with respect to the number of discretization unknowns.
On considère un atome soumis à un champ laser de forte intensité polarisé elliptiquement. Les moments des électrons ionisés sont analysés en terme de distributions, appelées " Photoelectrons Momentum Distributions " (PMDs). La forme des PMDs dépend fortement des paramètres du laser, et en particulier de l'ellipticité du laser. On présente une analyse des distributions statistiques du modèle hamiltonien calculées à l'aide de méthodes de Monte Carlo.
Sand is a proper instance for the study of natural algorithmic phenomena. Idealized square/cubic sand grains moving according to ``simple'' local toppling rules may exhibit surprisingly ``complex'' global behaviors. In this paper we explore the language made by words corresponding to fixed points reached by iterating a toppling rule starting from a finite stack of sand grains in one dimension.
Le corps du musicien est souvent le grand oublié de la pédagogie instrumentale traditionnelle. Pour les instruments à corde frottée par exemple, l’attention est particulièrement focalisée sur la dextérité des doigts de la main gauche ou la précision du bras droit tenant l’archet, comme des conditions nécessaires et suffisantes à l’expressivité musicale.
This article deals with the use of optimal lattice and optimal window in Discrete Gabor Transform computation. In the case of a generalized Gaussian window, extending earlier contributions, we introduce an additional local window adaptation technique for non-stationary signals.
We consider the problem of metric learning for multi-view data and present a novel method for learning within-view as well as between-view metrics in vector-valued kernel spaces, as a way to capture multi-modal structure of the data. We formulate two convex optimization problems to jointly learn the metric and the classifier or regressor in kernel feature spaces. An iterative three-step multi-view metric learning algorithm is derived from the optimization problems.
In the present work, we induced obesity in rats with high-energy-starch diet and studied exocrine pancreas response. The zymogen granule (ZG) or purified plasma membrane (PM) from the exocrine pancreas was used for the isolation of the detergent-resistant membranes (DRMs). Based on high content of cholesterol, GM1, the bile salt dependent lipase (BSDL), and GP2 enrichment, the low-density fractions were defined as lipid rafts.
Chlordecone (CLD) is an organochlorine insecticide that was used from 1978 to 1993 in the French West Indies (FWI) to control the populations of black weevil in banana plantations. This pesticide, with recognized neurotoxic, endrocrine, reproductive and carcinogenic effects, is nowadays responsible of an unprecedented sanitary, economic and social crisis in FWI.
In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localized on a fixed control set. We characterize the minimal time for a discrete crowd model, both for exact and approximate controllability. This leads to an algorithm that computes the control and the minimal time. We finally present a numerical simulation.