Measurement and Analysis of Self-similarity for Chaotic Dynamics

Self-similarity is where a certain property of an object is preserved with respect to scaling in time and space. In previous works, a method about the fractal characterization of nonstationary time series was proposed, which is based on measure by dividing the sequence into many segments and not sensitive to embedding dimension, it is not depended upon number of embedding dimension, and computing quantity is small owing to dividing the sequence into many segments. We analysis more related experimental data and make some important conclusions for self-similarity.