Ja. Freund et K. Rateitschak, ENTROPY ANALYSIS OF NOISE CONTAMINATED SEQUENCES, International journal of bifurcation and chaos in applied sciences and engineering, 8(5), 1998, pp. 933-940
The entropy analysis of symbol sequences created by symbolic dynamics
reveals temporal correlations present in the stationary dynamics. We i
nvestigate how noise, introduced in different ways, affects temporal c
orrelations found in the logistic map at the period doubling accumulat
ion point. The deterministic system under consideration yields a highl
y structured spectrum of conditional entropies. We will discuss how ad
ditive noise, parametric noise, a fluctuating cell boundary and a nois
y transmission channel modify the unperturbed entropy spectrum.