一种从时间序列计算高阶系统正的李雅普诺夫指数的新算法

A New Method for Computing the Positive LyApunov Exponent of Thehigh Order System from Time Series

本文提出了一个利用从实际物理系统得到的时间序列计算正的李雅普诺夫指数的新算法,并对一个具有非线性负电容的四阶自治电路进行了实际测试和计算。此算法给人们提供了一种直接判断实际动态系统中,是否发生混沌或超混纯运动的方法。

In this paper, a novelmethod of computing positive lyapunov exponents from a time series was presented. Using the method, we had computed the output of a fourth order autonomous circuit which contains a pice-wise linear negative capacitance, the results show how the method given can be used to determine the behavior of the dynamic system.