Structure of the correlation function at the accumulation points of the logistic map

K. Karamanos, I.S. Mistakidis and S.I. Mistakidis

Chaos, Solitons & Fractals, 2017, vol. 96, issue C, 154-159

Abstract: The correlation function of the trajectory exactly at the Feigenbaum point of the logistic map is investigated and checked by numerical experiments. Taking advantage of recent closed analytical results on the symbol-to-symbol correlation function of the generating partition, we are in position to justify the deep algorithmic structure of the correlation function apart from numerical constants. A generalization is given for arbitrary m · 2∞ Feigenbaum attractors.

Keywords: Correlation function; Symbolic dynamics; Bifurcation points; Feigenbaum attractors; Logistic map (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:96:y:2017:i:c:p:154-159

DOI: 10.1016/j.chaos.2017.01.020

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