Abstract
Image encryption is a confidential strategy to keep the information in digital images from being leaked. Due to excellent chaotic dynamic behavior, self-feedbacked Hopfield networks have been used to design image ciphers. However, Self-feedbacked Hopfield networks have complex structures, large computational amount and fixed parameters; these properties limit the application of them. In this paper, a single neuronal dynamical system in self-feedbacked Hopfield network is unveiled. The discrete form of single neuronal dynamical system is derived from a self-feedbacked Hopfield network. Chaotic performance evaluation indicates that the system has good complexity, high sensitivity, and a large chaotic parameter range. The system is also incorporated into a framework to improve its chaotic performance. The result shows the system is well adapted to this type of framework, which means that there is a lot of room for improvement in the system. To investigate its applications in image encryption, an image encryption scheme is then designed. Simulation results and security analysis indicate that the proposed scheme is highly resistant to various attacks and competitive with some exiting schemes.
Highlights
Neural networks and neuro-dynamics expand to different application areas including signal processing, information security, encryption and associative memory [1,2,3,4,5,6]
The self-feedbacked Hopfield network has been widely used in optimization problems and image encryption [17,18,19,20,21,22,23,24]
We found that the single neuron of the self-feedbacked Hopfield network showed complex dynamic behavior
Summary
Neural networks and neuro-dynamics expand to different application areas including signal processing, information security, encryption and associative memory [1,2,3,4,5,6]. We found that the single neuron of the self-feedbacked Hopfield network showed complex dynamic behavior. Self-feedbacked Hopfield networks that were used to generate chaos phenomena have complex structures, a large computational amount and fixed parameters [16,18,19,20,21,22]. The single neuronal dynamical system in a self-feedbacked Hopfield network has sufficient parameters and excellent chaotic properties. The single neuronal dynamical system in self-feedbacked Hopfield network is applicable to existing frameworks, and it can achieve a positive effect. The discrete form of single neuronal dynamical system (SNDS) is derived from the self-feedbacked Hopfield network.
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