Chaos In New Polynomial Discrete Logistic Maps With Fractional Derivative And Applications For Text Encryption

Authors

Kalsouabe Zoukalne, Laboratory on Modelling and Simulation in Engineering, Biomimetics and Prototypes, and TWAS Research Unit, Faculty of Science, University of Yaounde I, Box 812, Yaounde, Cameroon\\ Techno-pedagogy Unit, Virtual University of Chad, Box 5711, N’djamena, Chad\\ Physics and Engineering Science Training, Sciences-Technology-Environment Doctoral School, University of N’Djamena, Box 1117, N’Djamena, ChadFollow
Ahamat Mahamat Hassane, Laboratory on Modelling and Simulation in Engineering, Biomimetics and Prototypes, and TWAS Research Unit, Faculty of Science, University of Yaounde I, Box 812, Yaounde, Cameroon\\ Techno-pedagogy Unit, Virtual University of Chad, Box 5711, N’djamena, Chad\\ Physics and Engineering Science Training, Sciences-Technology-Environment Doctoral School, University of N’Djamena, Box 1117, N’Djamena, ChadFollow
Mahamoud Youssouf Khayal, Physics and Engineering Science Training, Sciences-Technology-Environment Doctoral School, University of N’Djamena, Box 1117, N’Djamena, ChadFollow
Paul Woafo, Laboratory on Modelling and Simulation in Engineering, Biomimetics and Prototypes, and TWAS Research Unit, Faculty of Science, University of Yaounde I, Box 812, Yaounde, Cameroon\\ Laboratory of Products Development and Entrepreneurship, Institut Superieur de l’Innovation et de Technologie, P.O. Box 8210 Yaounde, CameroonFollow

Author Country (or Countries)

Cameroon

Abstract

In this paper, we propose new polynomial discrete logistic equations based on the classical logistic map, which exhibit chaotic behavior as control parameters vary. We also explore versions with fractional derivatives. Using the chaotic sequence generated by these equations, we develop an encryption scheme for text. The scheme relies on initial conditions, control parameters, and a transformation of text characters into values between 0 and 1, followed by a transformation to discrete chaotic values for transmission

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170507

Recommended Citation

Zoukalne, Kalsouabe; Mahamat Hassane, Ahamat; Youssouf Khayal, Mahamoud; and Woafo, Paul (2023) "Chaos In New Polynomial Discrete Logistic Maps With Fractional Derivative And Applications For Text Encryption," Applied Mathematics & Information Sciences: Vol. 17: Iss. 5, Article 7.
DOI: http://dx.doi.org/10.18576/amis/170507
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss5/7