Analysis of Chaotic Sequence Period Generated by Logistic Map under Finite Precision

The rule of chaotic sequence period is discovered with Monte Carlo method, which is generated by Logistic map under finite precision, and a scheme is presented to use chaos under finite precision. The relationship between precision and initial value with chaotic sequence period is analyzed by calculating the period of sequences with different precision and initial value, which can be reference for the realization of chaotic sequence under finite precision. And the scheme presented according to the rule is quite valuable for practical use.