Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption

AbstractIn this paper, a novel image encryption algorithm based on the Once Forward Long Short Term Memory Structure (OF-LSTMS) and the Two-Dimensional Coupled Map Lattice (2DCML) fractional-order chaotic system is proposed. The original image is divided into several image blocks, each of which is input into the OF-LSTMS as a pixel sub-sequence. According to the chaotic sequences generated by the 2DCML fractional-order chaotic system, the parameters of the input gate, output gate and memory unit of the OF-LSTMS are initialized, and the pixel positions are changed at the same time of changing the pixel values, achieving the synchronization of permutation and diffusion operations, which greatly improves the efficiency of image encryption and reduces the time consumption. In addition the 2DCML fractional-order chaotic system has better chaotic ergodicity and the values of chaotic sequences are larger than the traditional chaotic system. Therefore, it is very suitable to image encryption. Many simulation results show that the proposed scheme has higher security and efficiency comparing with previous schemes.

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Double color image encryption based on fractional order discrete improved Henon map and Rubik’s cube transform

Signal Processing Image Communication ◽

10.1016/j.image.2021.116363 ◽

2021 ◽

pp. 116363

Author(s):

Liping Chen ◽

Yin Hao ◽

Liguo Yuan ◽

J.A. Tenreiro Machado ◽

Ranchao Wu ◽

...

Keyword(s):

Image Encryption ◽

Fractional Order ◽

Color Image ◽

Hénon Map ◽

Color Image Encryption ◽

Henon Map ◽

Rubik's Cube ◽

Rubik’S Cube

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Colour image encryption based on multiple fractional order chaotic systems

Proceedings of The 2014 International Conference on Control, Instrumentation, Energy and Communication (CIEC) ◽

10.1109/ciec.2014.6959156 ◽

2014 ◽

Cited By ~ 4

Author(s):

Tanmoy Dasgupta ◽

Pritam Paral ◽

Samar Bhattacharya

Keyword(s):

Image Encryption ◽

Fractional Order ◽

Chaotic Systems ◽

Colour Image

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

Sensors ◽

10.3390/s21206838 ◽

2021 ◽

Vol 21 (20) ◽

pp. 6838

Author(s):

Fudong Ge ◽

Zufa Qin ◽

YangQuan Chen

Keyword(s):

Boundary Conditions ◽

Image Encryption ◽

Fractional Order ◽

Diffusion Processes ◽

Fractional Diffusion ◽

Spatiotemporal Chaos ◽

Diffusion System ◽

Encryption Algorithm ◽

Secret Key ◽

Image Encryption Algorithm

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. After these, a new spatiotemporal chaos-based cryptosystem is proposed by designing the chaotic sequence of the fractional-order Chua’s system as the initial condition and the boundary conditions of the studied time-fractional diffusion system. It is shown that the proposed image encryption algorithm can gain excellent encryption performance with the properties of larger secret key space, higher sensitivity to initial-boundary conditions, better random-like sequence and faster encryption speed. Efficiency and reliability of the given encryption algorithm are finally illustrated by a computer experiment with detailed security analysis.

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