Research on Uniformity Based on the Chebyshev Chaotic Map

In this paper, we propose two methods with mathematic theory based on the Chebyshev map for generating uniformly distributed random variable in the interval [0,1], and obtain the relationship of the two methods through verification of the theory. Finally, the uniformity of chaotic sequences generated by the improved Chebyshev map is analysed through homogeneity test. Results indicate that the two methods are the same in essence and the Chebyshev map improved by the two method respectively has good uniformity in (0, 1) which confirms the effectiveness of methods.