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

Karamanos, Kostas and Mistakidis, I.S. and Mistakidis, S.I. (2013) Structure of the correlation function at the accumulation points of the logistic map. Communications in Nonlinear Science and Numerical Simulation . (Submitted)

 Preview
PDF - Submitted Version
The correlation function of the trajectory at the Feigenbaum attractors of the logistic map is rigorously introduced and checked by numerical experiments. Taking advantage of recent closed analytical results on the symbol-to-symbol correlation function, 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.