The Analysis and Application on a Fractional-Order Chaotic System
Abstract: An integral-order
hyperchaotic system with four-dimension is expanded to be a fractional-order
system whose chaotic behaviors are analyzed, Firstly, based on the stability
theory of fractional-order linear system and the thinking of tracking control,
a synchronization method for two fractional-order systems with different
structures is proposed, and an analytic expression for synchronization
controller is given. Secondly, taking the extended fractional-order system and
R?ssler hyperchaotic system as example, the synchronization between them is
numerical simulated. Finally, the proposed synchronization method is applied to
encrypt and decrypt digital images. The simulation results show that the lowest
order that extended fractional-order system appears chaos is 3.2, and this
method has many advantages for encrypting and decrypting digital images, such
as sensitive secret keys, random uniform distribution of pixels and low
correlation between adjacent pixels.
Author: Ye Qian, liang Ling
Liu
Journal Code: jptkomputergg140025
