Dynamics analysis of a four-dimensional hyperchaotic hidden system and its application in image encryption.

Calculate the information entropy, with the specific formula as follows 28 : 9 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H\left( x \right) = - \sum \left( {P_{i} * \log 2\left( {P_{i} } \right)} \right)\left( {i = 1,2,3,...,n} \right)$$\end{document} As shown in Table 1 , by comparing the information entropy of images before and after encryption, a significant trend can be observed: the information entropy of cipher images is significantly higher than that of ordinary images.

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