Abstract
A chaotic map with two sine functions is studied here, and its chaotic dynamics are investigated. Bifurcation diagrams and Lyapunov exponents of the map by different initiation methods show the multistability in some intervals of the bifurcation parameter. Then an encryption method based on sparse representation and the chaotic map is proposed. In the approach, the wavelet domain is used to obtain sparse representation. The sparsity is enhanced by a sparsification operation. A convolutional layer is considered before the compression by the measurement matrices to extract the local information. Experimental results show that the method improves the image reconstruction performance and security level compared to previous methods.
Published Version
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