A New Hyperchaotic 4D-FDHNN System with Four Positive Lyapunov Exponents and Its Application in Image Encryption |
| |
| Authors: | Zefei Liu Jinqing Li Xiaoqiang Di |
| |
| Institution: | 1.School of Computer Science and Technology, Changchun University of Science and Technology, Changchun 130022, China; (Z.L.); (X.D.);2.Jilin Province Key Laboratory of Network and Information Security, Changchun 130033, China;3.Information Center, Changchun University of Science and Technology, Changchun 130022, China |
| |
| Abstract: | In this paper, a hyperchaotic four-dimensional fractional discrete Hopfield neural network system (4D-FDHNN) with four positive Lyapunov exponents is proposed. Firstly, the chaotic dynamics’ characteristics of the system are verified by analyzing and comparing the iterative trajectory diagram, phase diagram, attractor diagram, 0-1 test, sample entropy, and Lyapunov exponent. Furthermore, a novel image encryption scheme is designed to use the chaotic system as a pseudo-random number generator. In the scenario, the confusion phase using the fractal idea proposes a fractal-like model scrambling method, effectively enhancing the complexity and security of the confusion. For the advanced diffusion phase, we proposed a kind of Hilbert dynamic random diffusion method, synchronously changing the size and location of the pixel values, which improves the efficiency of the encryption algorithm. Finally, simulation results and security analysis experiments show that the proposed encryption algorithm has good efficiency and high security, and can resist common types of attacks. |
| |
| Keywords: | 4D-FDHNN dynamic analysis fractal-like scrambling Hilbert curve dynamic random diffusion image encryption |
|
|
