1,721,334 research outputs found

    Regulación hormonal del epitelio uterino del conejo

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    Fil: Conti, Claudio Jorge. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina

    Regulación hormonal del epitelio uterino del conejo

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    Fil: Conti, Claudio Jorge. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina

    Erice Workshop on Complex Phenomena in Nonlinear Physics

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    http://erice09.complexlight.org

    Generation and nonlinear dynamics of X waves of the Schrodinger equation

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    The generation of finite-energy packets of X waves is analyzed in normally dispersive cubic media by using an X-wave expansion. The three-dimensional nonlinear Schrödinger model is reduced to a one-dimensional equation with anomalous dispersion. Pulse splitting and beam replenishment as observed in experiments with water and Kerr media are explained in terms of a higher-order breathing soliton. The results presented also hold in periodic media and Bose-condensed gases

    Complex light: Dynamic phase transitions of a light beam in a nonlinear nonlocal disordered medium

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    The dynamics of several light filaments (spatial optical solitons) propagating in an optically nonlinear and nonlocal random medium is investigated using the paradigms of the physics of complexity. Cluster formation is interpreted as a dynamic phase transition. A connection with the random matrices approach for explaining the vibrational spectra of an ensemble of solitons is pointed out. General arguments based on a Brownian dynamics model are validated by the numerical simulation of a stochastic partial differential equation system. The results are also relevant for Bose condensed gases and plasma physics

    Localization and shock waves in curved manifolds

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    The investigation of the interplay between geometry and nonlinearity may open the road to the control of extreme waves. We study three-dimensional localization and dispersive shocks in a bent cigar shaped potential by the nonlinear Schrodinger equation. At high bending and high nonlinearity, topological trapping is frustrated by the generation of curved wave-breaking. Four-dimensional parallel simulations confirm the theoretical model. This work may contribute to novel devices based on geometrically constrained highly nonlinear dynamics and tests and analogs of fundamental physical theories in curved space

    Linear and nonlinear anderson localization in a curved potential

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    Disorder induced localization in the presence of nonlinearity and curvature is investigated. The time-resolved three-dimensional expansion of a wave packet in a bent cigar shaped potential with a focusing Kerr-like interaction term and Gaussian disorder is numerically analyzed. A self-consistent analytical theory, in which randomness, nonlinearity and geometry are determined by a single scaling parameter, is reported, and it is shown that curvature enhances localization
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