Research on the Characteristics of the Lowest Digit Position 5 of the Logistic Chaotic Map
The iterative real value of the Logistic chaotic map in true orbits exhibits obvious regularity when the lowest digit position is 5.The high digit part of its iterative real value shows random characteristics.The low digit part of its iterative real value represents a linearly increasing common digit positions.Experimental analysis shows that under absolute accuracy conditions,the chaotic real orbit keeps randomness and the structural characteristics of the common part are stable.Under finite accuracy conditions,the randomness of the iterative values is greatly affected by computational accuracy,and the common part can only be obtained through the iteration method with low positions.