Bias Control Of Hyperchaotic Mapping And Its Application In Image Encryptio

With the development of nonlinear dynamics theory,discrete chaotic dynamics has ushered in another research upsurge.In order to enhance the application effect of chaotic map in image encryption,it is often necessary to obtain time series with convenient control and high complexity.The special nonlinear feedback of memristor is easy to induce chaos,so it has become an important element in the construction of chaotic systems.This paper studies the modeling of hyperchaotic maps with high complexity,studies its offset-boosting and multistable properties,and further proves the special evolution law of hyperchaotic maps through numerical analysis and hardware experiments.The application in provides the basis.The main work of this paper includes:Firstly,based on the principle of offset-boosting construct an offset-boosting hyperchaotic map.Using the influence of the offset-boosting on the polarity of the map sequence,combined with the system parameters,the symmetric attractor is obtained.On this basis,the multistable characteristics of the map are further analyzed and experimentally verified based on STM32.Secondly,based on the special nonlinear relationship of discrete memristors,the offsetboosting memristive hyperchaotic map is constructed.The evolution law of the dynamic behavior when the parameters and the initial states are changed is analyzed,the special coexistence of chaos and hyperchaos is revealed,and the offset-boosting and amplitude control of the map is realized.Based on the nonlinear auto-regressive model with exogenous inputs(NARX)for neural network realizes the prediction of hyperchaotic map sequences.Thirdly,based on discrete hyperchaotic sequences and prediction data,a new image encryption system of double chaotic sequences is constructed.A new hybrid neural network is designed to predict the hyperchaotic map sequence.The original hyperchaotic sequence is used to encrypt the image,and the predicted sequence is used to decrypt the encrypted image.The FPGA circuit experiment proves the feasibility of the double chaotic sequence image encryption scheme.