The Construction of the Cubic Logistic Chaotic Function Family

Chaotic time sequence has huge application value. The author analyses the essence of the chaotic time sequence which is created by the Logistic map, points out the limitation of the logistic chaotic sequence in the application and suggests the new scheme which is at the core of constructing cubic self-map chaotic function families. In this article, the author discusses the principle of constructing cubic function family and analyses the constructing process of the cubic Logistic chaotic function families. For several functions with a series of special control parameters, computer simulation is implemented, and simulation result is listed. Simulation experiment data show the validity and correctness of the structured scheme of the chaotic Logistic chaotic function family.