977 resultados para Fixed-point theorem


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We have investigated hysteresis and the return-point memory (RPM) property in deterministic cellular automata with avalanche dynamics. The RPM property reflects a partial ordering of metastable states, preserved by the dynamics. Recently, Sethna et al. [Phys. Rev. Lett. 70, 3347 (1993)] proved this behavior for a homogeneously driven system with static disorder. This Letter shows that the partial ordering and the RPM can be displayed as well by systems driven heterogeneously, as a result of its own evolution dynamics. In particular, we prove the RPM property for a deterministic 2D sandpile automaton driven at a central site.

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Audit report on the City of Center Point, Iowa for the year ended June 30, 2011

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A dynamical systems approach to competition of Saffman-Taylor fingers in a Hele-Shaw channel is developed. This is based on global analysis of the phase space flow of the low-dimensional ordinary-differential-equation sets associated with the classes of exact solutions of the problem without surface tension. Some simple examples are studied in detail. A general proof of the existence of finite-time singularities for broad classes of solutions is given. Solutions leading to finite-time interface pinchoff are also identified. The existence of a continuum of multifinger fixed points and its dynamical implications are discussed. We conclude that exact zero-surface tension solutions taken in a global sense as families of trajectories in phase space are unphysical because the multifinger fixed points are nonhyperbolic, and an unfolding does not exist within the same class of solutions. Hyperbolicity (saddle-point structure) of the multifinger fixed points is argued to be essential to the physically correct qualitative description of finger competition. The restoring of hyperbolicity by surface tension is proposed as the key point to formulate a generic dynamical solvability scenario for interfacial pattern selection.

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New results on the theory of constrained systems are applied to characterize the generators of Noethers symmetry transformations. As a byproduct, an algorithm to construct gauge transformations in Hamiltonian formalism is derived. This is illustrated with two relevant examples.

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We generalize the analogous of Lee Hwa Chungs theorem to the case of presymplectic manifolds. As an application, we study the canonical transformations of a canonical system (M, S, O). The role of Dirac brackets as a test of canonicity is clarified.

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Nombrosos són ja els estudis que s'han centrat en l'anomenat "cinema seriós" de Woody Allen i, entre ells, paga la pena de mencionar el que Pau Gilabert Barberà, autor d'aquest article, va escriure (2006) sobre el que, en opinió seva, és el llegat sofístic subjacent en el guió de Crimes and Misdemeanors. En aquesta ocasió, el seu objectiu és analitzar la trajectòria fluctuant del director americà en relació a la tragèdia grega, des de la convicció que, només així, és possible revelar la seva empatia amb l'esperit tràgic dels grecs i comprendre la seva necessitat de presentar aquell gènere literari com un paradigma des del qual entendre les grandeses i misèries del món contemporani.

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Many studies have already paid attention to what is called the "serious films" by Woody Allen and, among them, it is also worth mentioning the one written by the very Pau Gilabert Barberà (2006), which is devoted to the Sophistic legacy underlying in his opinion the screenplay of Crimes and Misdemeanors. On this occasion, his aim is to analyse the fluctuating sight of the American director with regard to the Greek tragedy. Indeed, Gilabert is convinced that, only in this way, it is possible to reveal the true Allen¿s sympathy with the tragic spirit of the Greeks, as well as to understand his urge to present that ancient literary genre as a paradigm with the help of which one can evaluate the greatness and misery of our contemporary world.

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Numerosos son ya los estudios que se han centrado en el llamado "cine serio" de Woody Allen y, entre ellos, cabe mencionar el que Pau Gilabert Barberà, autor de este artículo, escribió (2006) sobre lo que, en su opinión, es el legado sofístico subyacente en el guión de Crimes and Misdemeanors. En esta ocasión, su objetivo es analizar la trayectoria fluctuante del director americano en relación con la tragedia griega, desde la convicción de que, sólo así, es posible revelar su empatía con el espíritu trágico de los griegos y comprender su necesidad de presentar aquel género literario como un paradigma desde el cual entender las grandezas y miserias del mundo contemporáneo.

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The retention and availability of water in the soil vary according to the soil characteristics and determine plant growth. Thus, the aim of this study was to evaluate water retention and availability in the soils of the State of Santa Catarina, Brazil, according to the textural class, soil class and lithology. The surface and subsurface horizons of 44 profiles were sampled in different regions of the State and different cover crops to determine field capacity, permanent wilting point, available water content, particle size, and organic matter content. Water retention and availability between the horizons were compared in a mixed model, considering the textural classes, the soil classes and lithology as fixed factors and profiles as random factors. It may be concluded that water retention is greater in silty or clayey soils and that the organic matter content is higher, especially in Humic Cambisols, Nitisols and Ferralsol developed from igneous or sedimentary rocks. Water availability is greater in loam-textured soils, with high organic matter content, especially in soils of humic character. It is lower in the sandy texture class, especially in Arenosols formed from recent alluvial deposits or in gravelly soils derived from granite. The greater water availability in the surface horizons, with more organic matter than in the subsurface layers, illustrates the importance of organic matter for water retention and availability.