Generalized synchronization of commensurate fractional-order chaotic systems: Applications in secure information transmission

In this work, a class of chaotic nonlinear fractional systems of commensurate order called Liouvillian systems is considered to solve the problem of generalized synchronization. To solve this problem, the master and the slave systems are expressed in the Fractional Generalized Observability Canonical Form (FGOCF), then a fractional-order dynamical control law is designed to achieve the generalized synchronization. The encryption of color images is presented as an application to the proposed synchronization method, the encryption algorithm allows to decrypt data without loss. The synchronization and its applications are then illustrated with numerical examples. (C) 2022 Elsevier Inc. All rights reserved.

Automated summary

This work focuses on a class of chaotic nonlinear fractional systems called Liouvillian systems to address the issue of generalized synchronization. By expressing the master and slave systems in the Fractional Generalized Observability Canonical Form (FGOCF) and designing a fractional-order dynamical control law, generalized synchronization is achieved. An encryption algorithm for color images is introduced, allowing for data decryption without loss, and numerical examples are provided to illustrate synchronization and its applications.