Abstract
In this paper, we propose a new simple one-dimensional chaotic map. The chaotic characteristics have been declared by using bifurcation analysis and Lyapunov exponent analysis. Furthermore, we propose a new image encryption algorithm based on this new chaotic map. Both shuffling algorithm and substitution algorithm are related to this map. Many statistical tests and security analysis indicate that this algorithm has an excellent security performance, and can be competitive with some other recently proposed image encryption algorithms.
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