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Analysis of fractional-order Chen System and Its application in Image Encryption

Hongyan Jia, Qinghe Wang
2016 Journal of Robotics, Networking and Artificial Life (JRNAL)  
At last, based on the fractional-order Chen system, a kind of double encryption algorithm is proposed and adopted to realize the image encryption.  ...  In this paper, a fractional-order Chen system is discussed and analyzed by using the frequency-domain approximation method.  ...  Acknowledgements This work was supported in part by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No.11202148, 61174094).  ... 
doi:10.2991/jrnal.2016.3.3.7 fatcat:5kt3vmwlivbo7jmdd7fdpthnte

Novel encryption for color images using fractional-order hyperchaotic system

Khalid M. Hosny, Sara T. Kamal, Mohamed M. Darwish
2022 Journal of Ambient Intelligence and Humanized Computing  
In this paper, the authors propose a novel utilization of fractional-order chaotic systems in color image encryption.  ...  In step#2, the 4D hyperchaotic Chen system of fractional orders generates random numbers to permit pixel positions.  ...  Preliminaries 4D hyperchaotic Chen system of Fractional-order Li et al. (2005) defined the hyperchaotic Chen system of integer-order, while Hegazi and Matouk (2011) used the principles of fractional  ... 
doi:10.1007/s12652-021-03675-y pmid:35018197 pmcid:PMC8734555 fatcat:zrx3hii2wrhtdofctjowgg3iqe

A new fractional chaotic system and its application in image encryption with DNA Mutation

Jin Hao, Hongjie Li, Huizhen Yan, Jun Mou
2021 IEEE Access  
For example, Xu et al. analyze the dynamic properties of fractional-order and applied it to image encryption [21] .  ...  method is used to analyze the fractional-order dynamical characteristics of the new multiscroll Chen chaotic system and applies it to the image encryption scheme.In addition, the signal from DSP board  ... 
doi:10.1109/access.2021.3069977 fatcat:zxiqwcpv7barxobrvy2qznxouu

‎S‎ynchronization ‎of‎ different ‎dimensions‎ ‎fractional-‎order chaotic ‎systems with uncertain‎‎ ‎ parameters ‎and ‎secure ‎communication‎‎‎‎‎

Vajiheh Vafaei, Hossein Kheiri, Aliasghar Jodayree Akbarfam
2021 Boletim da Sociedade Paranaense de Matemática  
The security analysis ‎‎‎demonstrate that the proposed algorithm ‎has ‎a large key space ‎and‎ high sensitivity to encryption keys ‎and it is ‎‎re‎sistance to all kind of ‎‎attacks‎.  ...  the ‎AMFPS‎ of different ‎fractional-‎order chaotic systems with ‎non-‎identical ‎ordersand different dimensions‎‎. ‎‎  ...  Applications of the fractional-order systems in the fields of physics and engineering have attracted lots of attentions in the recent years [1, 2] .  ... 
doi:10.5269/bspm.41252 fatcat:zpg6cc4jmngathagduworzfrhm

Image encryption using block based transformation with fractional Fourier transform

Delong Cui, Lei Shu, Yuanfang Chen, Xiaoling Wu
2013 2013 8th International Conference on Communications and Networking in China (CHINACOM)  
In order to transmit image data in open network, a novel image encryption algorithm based on fractional Fourier transform and block-based transformation is proposed in this paper.  ...  Theoretical analysis and experimental results demonstrate that the algorithm is favorable. Index Terms-Image encryption, fractional Fourier transform(FRFT), block-based transform, entropy  ...  And the original image can be perfectly recovered using the linear system constructed by the fractional Fourier domain analysis of the interpolation.  ... 
doi:10.1109/chinacom.2013.6694656 fatcat:u5kcct7tmfh3vmkzrostsarhp4

Color Image Compression-Encryption Using Fractional-Order Hyperchaotic System and DNA Coding

Hao Dong, Enjian Bai, Xue-Qin Jiang, Yun Wu
2020 IEEE Access  
FRACTIONAL-ORDER HYPERCHAOTIC CHEN SYSTEM In 1999, Chen first proposed Chen chaotic system [63] .  ...  Section 2 introduces the preliminaries about the fractional-order hyperchaotic Chen system, the Adomian decomposition method, the solution of fractional-order hyperchaotic Chen system and DNA coding and  ...  In the encryption stage, chaotic sequences are generated by fractional-order hyperchaotic Chen system, which are used to control DNA coding, decoding and DNA perations.  ... 
doi:10.1109/access.2020.3022398 fatcat:gs2sfh5eibewjfijemxtqy6mna

Image Encryption using Fractional Integral transforms: Vulnerabilities, Threats and Future scope [article]

Gurpreet Kaur, Rekha Agarwal, Vinod Patidar
2022 arXiv   pre-print
This paper presents a review on various image encryption schemes based on fractional transforms for security consideration of image communication.  ...  The second part of review is emphasised on the mathematical modelling for encrypting the images in optical transform domain which is main focus of the presented work.  ...  Acknowledgements One of us (V.P.) acknowledges the MATRICS Grant (MTR/000203/2018) from SERB, DST, Govt. of India.  ... 
arXiv:2203.02881v1 fatcat:abt35lynvrfbfmqq56fob2slru

An Image Encryption Scheme Synchronizing Optimized Chaotic Systems Implemented on Raspberry Pis

Omar Guillén-Fernández, Esteban Tlelo-Cuautle, Luis Gerardo de la Fraga, Yuma Sandoval-Ibarra, Jose-Cruz Nuñez-Perez
2022 Mathematics  
The image encryption system is tested by performing NIST, TestU01, NPCR, UACI and other statistical analyses.  ...  To provide privacy and security, the transmitter and receiver (among millions of devices) can be synchronized to have the same chaotic public key to encrypt and decrypt data.  ...  in original and encrypted Lena images using Chen system.  ... 
doi:10.3390/math10111907 fatcat:zrvj5jsof5bnbkg52262vacv7q

A New Color Image Encryption Scheme Using CML and a Fractional-Order Chaotic System

Xiangjun Wu, Yang Li, Jürgen Kurths, Helmut Ahammer
2015 PLoS ONE  
In this paper, a novel color image encryption algorithm by using coupled-map lattices (CML) and a fractional-order chaotic system is proposed to enhance the security and robustness of the encryption algorithms  ...  In order to generate initial conditions and parameters of two chaotic systems, a 280-bit long external secret key is employed.  ...  Acknowledgments The authors would like to thank the anonymous reviewers and the editor for their helpful comments. Author Contributions  ... 
doi:10.1371/journal.pone.0119660 pmid:25826602 pmcid:PMC4380443 fatcat:veaxa27fu5fyhjloohebuj4iia

An Image Compression and Encryption Algorithm based on the Fractional-order Simplest Chaotic Circuit

Haiying Hu, Yinghong Cao, Ji Xu, Chenguang Ma, Huizhen Yan
2021 IEEE Access  
Based on compressive sensing and fractional-order simplest memristive chaotic system, this paper proposes an image compression and encryption scheme.  ...  INDEX TERMS Image encryption, compressive sensing (CS), fractional-order simplest memristive chaotic system.  ...  Hence, it is difficult to achieve in practical applications. A symmetric digital image encryption scheme based on an improper fractional-order chaotic system was proposed by Zhao, et al. [42] .  ... 
doi:10.1109/access.2021.3054842 fatcat:cn75qsyjwzf37jt5l2g4rjqr54

Integrated Time-Fractional Diffusion Processes for Fractional-Order Chaos-Based Image Encryption

Fudong Ge, Zufa Qin, YangQuan Chen
2021 Sensors  
The purpose of this paper is to explore a novel image encryption algorithm that is developed by combining the fractional-order Chua's system and the 1D time-fractional diffusion system of order α∈(0,1]  ...  To this end, we first discuss basic properties of the fractional-order Chua's system and the 1D time-fractional diffusion system.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/s21206838 pmid:34696050 pmcid:PMC8537591 fatcat:6jm7akxkh5g3hmonvwvidquope

Image Compression and Encryption Scheme Based on Compressive Sensing and Fourier Transform

Miao Zhang, Xiao-Jun Tong, Jie Liu, Zhu Wang, Jinlong Liu, Baolong Liu, Jing Ma
2020 IEEE Access  
In order to avoid the security limitations of revealing the energy information of the plaintext from ciphertext and reusing of measurement matrix to improve security, chaos system and two-dimensional fractional  ...  INDEX TERMS Image compression and image encryption, compressive sensing, fractional Fourier transform, chaotic map. 40838 This work is licensed under a Creative Commons Attribution 4.0 License.  ...  Fractional Fourier transform (FRT) is an extension of the order of traditional Fourier transform (FT), and is widely used in image encryption fields.  ... 
doi:10.1109/access.2020.2976798 fatcat:ldjbq4brsfay3f4zo3czwlmtbu

Fractional Calculus In Image Processing: A Review [article]

Qi Yang, Dali Chen, Tiebiao Zhao, YangQuan Chen
2016 arXiv   pre-print
Over the last decade, it has been demonstrated that many systems in science and engineering can be modeled more accurately by fractional-order than integer-order derivatives, and many methods are developed  ...  to solve the problem of fractional systems.  ...  L2014082 and China Scholarship Council.  ... 
arXiv:1608.03240v1 fatcat:jhjk7h7c5zhabfobmbqak5r3qu

Robust Multi-Mode Synchronization of Chaotic Fractional Order Systems in the Presence of Disturbance, Time Delay and Uncertainty with Application in Secure Communications

Ali Akbar Kekha Javan, Assef Zare, Roohallah Alizadehsani, Saeed Balochian
2022 Big Data and Cognitive Computing  
Subsequently, the presented method was applied to fractional-order Chen systems and was encrypted using the chaotic masking of different benchmark images.  ...  This paper investigates the robust adaptive synchronization of multi-mode fractional-order chaotic systems (MMFOCS).  ...  Informed Consent Statement: Not applicable. Data Availability Statement: Not applicable. Conflicts of Interest: The authors declare no conflict of interest  ... 
doi:10.3390/bdcc6020051 fatcat:tpayq42hcbdfbetzwmn3jnikzu

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors II

Christos K. Volos, Sajad Jafari, Jesus M. Munoz-Pacheco, Jacques Kengne, Karthikeyan Rajagopal
2020 Entropy  
According to the pioneering work of Leonov and Kuznetsov [...]  ...  Acknowledgments: We express our deep gratitude to the authors and reviewers of the above contributions, and we thank the journal Entropy and MDPI for their continuous support and encouragement in putting  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/e22121428 pmid:33352853 fatcat:ppugmgdd6na6nomqsfzqe5mnpu
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