Hyperchaotic Control CNN And Its Application In Secure Communication

Cellular neural network is a flexibly implemented network model, it has locality of theconnections between the processing unit, strong real-time and continuous processing capabilitiesand its output is piecewise linear dynamics properties. In particular, because it is easy to form achaotic system, even the third-dimensional CNN easier to produce hyperchaotic behavior, thusCNN hyperchaotic synchronization in secure communication system presents its potentialapplication value.This thesis mainly in-depth research and discussion about the synchronization method forCNN hyperchaotic system, as well as the hyperchaotic synchronization technology’s applicationin secure communication, The main research work in full text include:(1) To study the synchronization for nondimensional and heterogeneous betweenfive-dimensional Cellular Neural Network and fourth-dimensional Rossler.In order to further study the hyperchaotic synchronization with different structure, weresearch a synchronization method of the different dimension and different structurehyperchaotic system, which need only one controller. About the synchronization method, to thefirst, structure the simple Lyapunov functions relative to the systems of equations throughstep-by-step, and then analysis it based on Lyapunov stability theory, finally, we reconstruct thestate of the drive system and the response system, the new error system can reach to stability.Through analysis the stability of the error system, we summed up this synchronization method ofdifferent dimensional and different structure hyperchaotic system is fast and efficient.(2) To construct the linearization and multiple synchronization for fourth-dimensional CNNhyperchaotic system.Consider the linear stability of the synchronization error system, appropriately demolish thefourth-dimensional CNN hyperchaotic system into two parts of linear and non-linear. In the caseof meeting the conditions of all the eigenvalues for Jacobian matrix are negative, we gain the newdynamics system as the response system. However the Jacobian matrix that can meet thisconditions are multi-valued, corresponding response systems with the same one drive system isvarious. In other words, the method of synchronization for the fourth-dimensional CNNhyperchaotic system is diversity. Finally, through the analysis of relationship between thedifferent eigenvalues of Jacobian matrix and the change initial value, we obtained the change lawof the system error.(3) To achieve the multiple synchronization for fourth-order CNN hyperchaotic systemsimulation.Taken with the same fourth-order CNN hyperchaotic system as the drive system, in the case of meeting the condition of all the Jacobian matrix eigenvalue are negative, we construct fourdifferent response to synchronize with the drive system at the receiving end. And we combinedwith the two communication method both chaotic masking and chaotic modulation, respectivelyto apply the multiple synchronization method of the CNN hyperchaotic system into the signaloccult, the text scrambling, image encryption and secure transmission of voice signals, and to usesimulation to achieve, all the application achieved complete extraction of the signal.Hyperchaotic system has more complex dynamical properties relative to the general chaoticsystems, its application in secure transmission in communication systems has higherconfidentiality and reliability. In this thesis, the synchronization method of nondimensional andheterogeneous hyperchaotic system and multiple synchronization method of CNN hyperchaoticsystem provide the reference theoretical basis for hyperchaotic system’s application in the securecommunication system, and have some practical value.