2000 character limit reached
Structure of the correlation function at the accumulation points of the logistic map (1608.05875v2)
Published 20 Aug 2016 in nlin.CD and nlin.SI
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 $m\cdot 2{\infty}$ Feigenbaum attractors.