Sums of variables at the onset of chaos

dc.contributor.author	Fuentes, Miguel Angel
dc.contributor.author	Robledo, Alberto
dc.date.accessioned	2016-01-25T12:11:09Z
dc.date.available	2016-01-25T12:11:09Z
dc.date.issued	2014
dc.description.abstract	We explain how specific dynamical properties give rise to the limit distribution of sums of deterministic variables at the transition to chaos via the period-doubling route. We study the sums of successive positions generated by an ensemble of initial conditions uniformly distributed in the entire phase space of a unimodal map as represented by the logistic map. We find that these sums acquire their salient, multiscale, features from the repellor preimage structure that dominates the dynamics toward the attractors along the perioddoubling cascade. And we explain how these properties transmit from the sums to their distribution. Specifically, we show how the stationary distribution of sums of positions at the Feigebaum point is built up from those associated with the supercycle attractors forming a hierarchical structure with multifractal and discrete scale invariance properties.
dc.identifier.citation	The European Physical Journal B, 2014, vol. 87, n° 32, 7 p.
dc.identifier.uri	http://hdl.handle.net/11447/199
dc.identifier.uri	http://dx.doi.org/10.1140/epjb/e2014-40882-1
dc.language.iso	en_US
dc.subject	Statistical
dc.subject	Nonlinear Physics
dc.title	Sums of variables at the onset of chaos
dc.type	Artículo

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