Quantitative analyses on the finite precision effect of computerized logistic map

摘要

The aperiodic chaotic signals turn out to be periodic signals in the computerizing realization due to the finite precision effect. Currently there doesn't exist quantitative analyses in this field. Inspired by the AD/DA method this paper simulates the fixed-point algorithm in floating-point environment, and then employs curve-fitting method to get the quantitative relation between the maximum cycle of the chaotic orbit and the digital precision in computerizing chaotic logistic map.