Abstract
In this paper, some properties of the fractional-order four-dimensional (4D) hyperchaotic memristive system are analyzed by the phase diagram, Lyapunov exponent spectrum and bifurcation diagram according to the Adomian decomposition method. Based on the chaotic system, a color image encryption scheme is proposed through combining the DNA sequence operation. The algorithm simulation results and security feature analysis show that the encryption scheme has good encryption effect and high safety performance, which provides an experimental basis and theoretical guidance for the safe transmission of image information.
Highlights
Nowadays, digital image is an improtant carrier of information, because of the inherent performance of digital images, including bulk data capacity, high redundancy and extremely strong correlation in adjacent pixels, which make digital image processing a research hotspot
In order to evaluate the chaotic system for image encryption, the dynamic characteristics of the fractional-order 4D hyperchaotic memristive system by the phase diagram, Lyapunov exponent spectrum, and bifurcation diagram are analyzed according to Adomian decomposition method
The Lyapunov exponent spectrum and bifurcation diagram of the fractional-order 4D hyperchaotic memristive system are obtained as shown in Fig. 1b and c
Summary
Digital image is an improtant carrier of information, because of the inherent performance of digital images, including bulk data capacity, high redundancy and extremely strong correlation in adjacent pixels, which make digital image processing a research hotspot. Chaos is a random or uncertain movement in a particular system It has inherent properties of ergodicity, sensitivity of initial value and parameters, and complex dynamic characteristic [4, 5]. SaberiKamarposhti et al [27] proposed hybrid image encryption algorithm through DNA sequences and a logistic map. Li et al EURASIP Journal on Image and Video Processing (2019) 2019:22 character and high nonlinearity, and the encryption algorithm of fractional-order chaotic has higher security features [20, 28]. To improve the safety performance of image encryption algorithm, in this paper, a color image encryption using a fractional-order 4D hyperchaotic memristive system and DNA sequence operations is proposed.
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