1/f过程的混沌模型

The Chaotic Model of 1/f Processes

１／ｆ过程是一种在众多科学技术领域中获得广泛应用的过程，然而至今人们对于它的产生机理还不清楚。本文提出了１／ｆ过程的一种混沌产生方法，给出了理论上的证明以及计算机仿真结果，从而为深入理解这类过程的本质提供了一种尝试。

Although 1/f process is widely used in many science and technology fields, its mechanism has not been clear so far. Based on Logistic chaotic mapping and the theory of fractional differencing filter, a chaotic model of 1/f process is presented in this paper. In addition, rigorous proof and computer simulation are given. The result provides an attempt for deep understanding the essence of this process.