The Switching Fractional Order Chaotic System and Its Application to Image Encryption

Jialin Hou; Rui Xi; Ping Liu; Tianliang Liu

doi:10.1109/JAS.2016.7510127

Volume 4 Issue 2

Apr. 2017

IEEE/CAA Journal of Automatica Sinica

JCR Impact Factor: 15.3, Top 1 (SCI Q1)

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2017 > 4(2): 381-388

Jialin Hou, Rui Xi, Ping Liu and Tianliang Liu, "The Switching Fractional Order Chaotic System and Its Application to Image Encryption," IEEE/CAA J. Autom. Sinica, vol. 4, no. 2, pp. 381-388, Apr. 2017. doi: 10.1109/JAS.2016.7510127

Citation:

Jialin Hou, Rui Xi, Ping Liu and Tianliang Liu, "The Switching Fractional Order Chaotic System and Its Application to Image Encryption," IEEE/CAA J. Autom. Sinica, vol. 4, no. 2, pp. 381-388, Apr. 2017. doi: 10.1109/JAS.2016.7510127

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The Switching Fractional Order Chaotic System and Its Application to Image Encryption

doi: 10.1109/JAS.2016.7510127

Jialin Hou^1
,,
Rui Xi^1
,,
Ping Liu^{1, 2
,
,},
Tianliang Liu^{1, 3
,}

1.
Shandong Key Laboratory of Gardening Machinery and Equipment, College of Mechanical and Electrical Engineering, Agricultural University of Shandong, Tai'an 271018, China
2.
School of Computer Science and Technology, Dalian University of Technology, Dalian 116023, China
3.
Department of Mechanical and Electronic Engineering, Taishan Vocational and Technical College, Tai'an 271018, China

Funds:

This work was supported by National Natural Science Foundation of China 313010 80

China Postdoctoral Science Foundation Project 2015M582122

China Postdoctoral Science Foundation Project 2016T90 644

National Key Technology Support Program of China 2015BAF13B00

Natural Science Foundation of Shandong Province ZR2015FL001

and the Open Project of State Key Laboratory of Crop Biology 2013KF10

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Abstract

Abstract

Many studies on fractional order chaotic systems and secure communications have been carried out, however, switching fractional order chaotic system and its application to image encryption have not been explored yet. In this paper, a new switching fractional order chaotic system is proposed, containing fractional order Chen system and the other two fractional order chaotic systems. Chaotic attractors and dynamical analysis including Lyapunov exponent, bifurcation diagram, fractal dimension, dissipation, stability and symmetry are shown firstly. After that, some circuit simulations through Multisim are presented. By controlling switch k₁ and k₂, switching among the three fractional order chaotic subsystems can be realized. Finally, we apply the switching fractional order chaotic system to image encryption using exclusive or (XOR) encryption algorithm. The encryption scheme could increase randomness and improve speed of encryption.
- Fractional order chaotic system,
- image encryption,
- subsystem,
- switching

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References(33)

References

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The Switching Fractional Order Chaotic System and Its Application to Image Encryption

doi: 10.1109/JAS.2016.7510127

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