A Modified Algorithm for the Logistic Sequence Based on PCA

Abstract

In order to deal with the dynamical degradation of logistic chaotic sequence caused by the structures and finite precision computing, we propose a modified algorithm based on phase space reconstruction and PCA. In the process of phase space reconstruction, it uses Cao theory after determining the delay time by the mutual information function and takes the first principal component as the result. Results of experiments demonstrate that: the algorithm erases the relevance among data points and enhances the randomness and complexity of the sequence.

Keywords

• Cao theory
• mutual information function
• phase space reconstruction
• principal component analysis
• logistic map