Study on the Predictable Size of Chaotic Systems
混沌系统可预测尺度研究

This paper focuses on the problem of long-term and short-term future states prediction of chaotic system. Sensitiveness of chaotic system to the original state determines that it is impossible to predict its future states in long term. However, it is realistic to make proper prediction on the movement of chaotic system in short term. Based on this, the average predictable size and the longest predictable size of chaotic time series are provided in this paper to definite the time range of short-term prediction. In the end, two kinds of chaotic time series generated by Logistic map and Henon map are utilized to verify the theory above.