Arithmetic complexity of discrete map of converter based on symbol time series

Abstract

The converter topologically conjugates with its symbol time series. The research of converter can be reduced to the research of symbol time series, and more common results can be gotten. The complexity of converter is studied based on arithmetic complexity of symbol time series, characteristics are gotten from its inner structure. Compared with statistics complexity, arithmetic complexity can describe working cycling and catastrophe point, thus the theoretical basis for understanding the complexity characteristics of converter is provided.