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