Authors
Hongyan Jia, Qinghe Wang
Corresponding Author
Hongyan Jia
Available Online 1 December 2016.
DOI
https://doi.org/10.2991/jrnal.2016.3.3.7
Keywords
fractional-order; Chen system; Lyapunov exponent diagrams; bifurcation
diagrams; image encryption
Abstract
In this paper, a fractional-order Chen system is discussed and analyzed
by using the frequency-domain approximation method. Its chaotic characteristic
can be observed by numerical simulation when the order is as low as 2.9.
Then the existence of chaos is verified through the Lyapunov exponent diagrams,
bifurcation diagrams, and phase orbits diagrams. At last, based on the
fractional-order Chen system, a kind of double encryption algorithm is
proposed and adopted to realize the image encryption. The experimental
results and analysis show that the proposed method not only has the ideal
effect of image encryption, but also has a high security of resisting the
statistical attacks. That is, the proposed method is suitable and feasible
for image encryption.
Copyright
© 2013, the Authors. Published by ALife Robotics Corp. Ltd.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).