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In the history of mechanics, there have been two points of view for studying mechanical systems: The Newtonian and the Cartesian. According the Descartes point of view, the motion of mechanical systems is described by the first-order differential equations in the $N$ dimensional configuration space $\textsc{Q}.$ In this paper we develop the Cartesian approach for mechanical systems with three degrees of freedom and with constraint which are linear with respect to velocity. The obtained results we apply to discuss the integrability of the geodesic flows on the surface in the three dimensional Euclidian space and to analyze the integrability of a heavy rigid body in the Suslov and the Veselov cases .
We extend the Eruguin result exposed in the paper "Construction of the whole set of ordinary differential equations with a given integral curve" published in 1952 and construct a differential system in $\Bbb{R}^N$ which admits a given set of the partial integrals, in particular we study the case when theses functions are polynomials. We construct a non-Darboux integrable planar polynomial system of degree $n$ with one invariant irreducible algebraic curve $g(x,y)=0$. For this system we analyze the Darboux integrability, Poincare's problem and 16th's Hilbert problem for algebraic limit cycles.
La presente tesis fue desarrollada en una empresa que se dedica a la importación y comercialización de repuestos automotrices a nivel nacional, cuyo enfoque en el fortalecimiento de la línea de Baterías ya que se ha registrado un crecimiento significativo en su volumen de ventas y en los márgenes de utilidad. El objetivo de la tesis fue mejorar el desempeño de la empresa en el área comercial mediante la implementación de un sistema de control de gestión para el departamento comercial, para poder establecer una estrategia que le permita alcanzar una mayor participación en el mercado de las baterías, así como mejorar los mecanismos de control y los rendimientos obtenidos por las demás líneas de ventas. Se analizaron las características de la empresa y el desarrollo de sus gestiones, y se definió la perspectiva de crecimiento. Con toda la...
Active music listening has emerged as a study field that aims to enable listeners to interactively control music. Most of active music listening systems aim to control music aspects such as playback, equalization, browsing, and retrieval, but few of them aim to control expressive aspects of music to convey emotions. In this study our aim is to enrich the music listening experience by allowing listeners to control expressive parameters in music performances using their perceived emotional state, as detected from their brain activity. We obtain electro-encephalogram (EEG) data using a low-cost EEG device and then map this information into a coordinate in the emotional arousalvalence plane. The resulting coordinate is used to apply expressive transformations to mu-sic performances in real time by tuning different performance parameters in...
Environment Context Competence Complexity Process Management
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