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Descripción
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| We study chaotic orbits of conservative low-dimensional maps and present numerical results showing that the probability density functions (pdfs) of the sum of N iterates in the large N limit exhibit very interesting time-evolving statistics. In some cases where the chaotic layers are thin and the (positive) maximal Lyapunov exponent is small, long?lasting quasi-stationary states (QSS) are found, whose pdfs appear to converge to q-Gaussians associated with nonextensive statistical mechanics. More generally, however, as N increases, the pdfs describe a sequence of QSS that pass from a q-Gaussian to an exponential shape and ultimately tend to a true Gaussian, as orbits diffuse to larger chaotic domains and the phase space dynamics becomes more uniformly ergodic. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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Int. J. Bifurcation and Chaos (2011), in press |
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ISSN
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0218-1274 |
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Factor de impacto JCR
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0 |
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Información de impacto
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DOI
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