A Study On Memristive Chaotic Systems With Application In Power Line Communication

The memristive chaotic circuit has many advantages,such as obvious nonlinear characteristics,rich dynamic behavior and various circuit structures.Concerning the high electromagnetic interference(EMI)and low communication security in power line communication,this paper studies the behavior of typical memristive chaotic systems and explores the possibility to apply memristive chaotic systems in power line communication(PLC).Firstly,in the light of the miniaturization and integration demand for chaotic circuits,memristive chaotic circuits based on bandpass filters and memristive hyperchaotic hidden systems are studied.Through mathematical modelings,simulations and experiments,the dynamic characteristics of these two memristive chaotic circuits are revealed.Consequently,this study could supply the reference significance for the control and integration of chaotic circuits.Secondly,the memristor-coupled circuit for simulating the synaptic crosstalk is designed,and with a group of differential equations,the model of the memristive Hopfield neural network(HNN)considering synaptic crosstalk is proposed.Subsequently,the boundedness of this system and the dynamic behaviors including the coexistence of asymmetric attractors,multi-stability behaviors and Feigenbaum trees are observed.The experimental results validate that the synaptic strength parameters of the HNN can impose a huge impact on the dynamic behaviors of neural networks.The crosstalk strength can also be used for chaotic circuit control.So to reveal the dynamic behaviors of memristive HNN can guide accurate simulation of the human brain functions.Thirdly,a chaotic frequency hopping spread spectrum(FHSS)technique,which can be applied to DC power line communication among parallel Buck converters,is studied.By introducing the chaotic signal modulation to control the drive signal of switches,the lengthy constant codes can be eliminated.Meanwhile,the power and signal synchronous transmission is implemented safely.Furthermore,by adopting band-pass filters to sift carrier signal,with threshold comparison as well as integration and dump approaches,the online demodulation of code signal can be realized.In addition,the mathematical mechanism of causing bit errors in this demodulated side and the feasibility of using chaotic code division multiple access(CDMA)in power bus are analyzed.Numerical simulations and experimental results show that this chaotic encryption and FSSS strategy based on the memristive Chua’s circuit successfully spreads the spectrum of carrier signals,and benefits the communication security and electromagnetic compatibility.There are 71 figures,8 tables and 101 references.