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http://dx.doi.org/10.33851/JMIS.2021.8.2.131

New chaotic map development and its application in encrypted color image  

JarJar, Abdellatif (Moulay Rachid High School)
Publication Information
Journal of Multimedia Information System / v.8, no.2, 2021 , pp. 131-142 More about this Journal
Abstract
This paper traces the process of constructing a new one-dimensional chaotic map, and will provide a simple application in color image encryption. The use of Sarkovskii's theorem will make it possible to determine the existence of chaos and restrict all conditions to ensure the existence of this new sequence. In addition, the sensitivity to initial conditions will be proved by Lyapunov's index value. Similarly, the performance of this new chaotic map will be illustrated graphically and compared with other chaotic maps most commonly used in cryptography. Finally, a humble color image encryption application will show the power of this new chaotic map.
Keywords
Chaotic function; Lyapunov's exponent; Sarkovskii's theorem;
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