Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus
Description
This book offers an alternative for encrypting and decrypting messages using objects called integer and fractional-order estimators or observers, by means of security codes. The authors first establish the class of observers capable of carrying out this work. Then, the type of observers to treat either the integer or fractional order type and their main characteristics is mentioned. The book also presents an essential property of some systems such as Liouville, which is vital for the encryption and decryption of messages in integer and fractional order nonlinear systems by using the synchronization property of chaotic systems. Finally, it addresses some logistic maps such as Mandelbrot sets including Julia and fractal sets, taking advantage of their characteristics to encrypt or recover messages.
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Juan Javier Montesinos-García received a B.S. degree in mechatronics from Papaloapan University, Oaxaca, Mexico in 2014. He received his M. Sc. and Ph.D. degrees in automatic control from CINVESTAV, Mexico City, Mexico in 2015 and 2019, respectively. Currently, he is a postdoctoral researcher at the Technological University of Mixteca (UTM). His current research areas of interest include robust state observers, control of fractional-order systems and secure communications.
Juan Pablo Flores-Flores obtained his B.Sc. degree as an aerospace engineer at the National Polytechnic Institute (IPN). He holds a M.Sc. degree in Control Theory from the Automatic Control Department of CINVESTAV-IPN (Center for Research and Advanced Studies of IPN), as well as a Ph.D. from the same institution, which earned in 2022. His main research interests are Nonlinear Systems, Nonlinear Observers, Parameter Identification, Distributed Parameter systems and Synchronization of Integer and Fractional Order Systems.