SYMBOLIC DYNAMICS ANALYSIS OF CHAOTIC TIME-SERIES WITH A DRIVEN FREQUENCY

A simple method to determine a partition line from chaotic time series with a driven frequency is devised, so that the embedded strange attr actor can be divided effectively by the partition line. After the dete rmination of grammatical rules, symbolic dynamics is established from the chaotic time series. The symbolic dynamics provides a global syste matics of unstable periodic orbits within the strange attractor. With the global property, the symbolic dynamics is applied to find unstable periodic orbits and predict the chaotic time series with finite accur acy and symbolic sequences with high accuracy.