The knowledge of chaotic maps is perhaps one of the most significant achievements in nonlinear science. With the discovery of a series of chaotic maps such as Tent Map and Logistic Map, researchers and scholars have been able to apply them into a variety of fields. The simulation results and security analysis indicate that such method not only can meet the requirement of imagine encryption, but also can result in a preferable effectiveness and security, which is usable for general applications. Furthermore, the new chaotic map and Arnold’s Cat Map based image encryption method is designed and proved to be of solid robustness. Compared with traditional classic one-dimensional chaotic maps like Logistic Map and Tent Map, this newly created chaotic map demonstrates many better chaotic properties for encryption, implied by a much larger maximal Lyapunov exponent. In this paper, we present a novel approach to create the new chaotic map and propose an improved image encryption scheme based on it.
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