对Logistic序列进行研究,利用Matlab数值模拟,通过计算不同初值、不同参数对应的混沌序列的计盒维数,得出结论:只要在数据充分的情况下,Logistic系统的分形维数基本由参数λ决定,与系统初值无关;同时计盒维数并非像熵一样随Logistic系统的参数λ增大而增大.
Using the Matlab numerical simulation, the box counting dimension calculation of different initial value, chaos sequences with different parameters, we have research on the logistic sequences and draw results: The fractal dimension is decided by parameter A mainly and it is irrelevant of initial value . At the same time, the box counting dimension does not increase like entropy with the parameters of logistic system.