Abstract: The memristor as the fourth fundamental circuit component included along with the resistor, capacitor and inductor could simulate the storage memory function of brain neural network. A traditional three-dimensional CNN was designed, and the output function was implemented with the nonlinear characteristics of a flux-controlled memristor. The conventional electronic devices in Multisim were utilized to simulate flux-controlled memristor which simplified the output function part of the circuits. To compare with the CNN system which has chaotic behaviors, the circuits of novel memristive cellular neural network not only can show a chaos attractors phenomenon, but also the inner magnetic energy of memristor is changed with state of CNN to achieve the equivalent values of output function. Numerical calculation and circuit simulation results verify its chaotic characteristics and feasibility, and can be applied in synchronization communication, image encryption and speech signal processing, et al.

Key words: cellular neural network, memristor, chaotic, piecewise-linear, circuit simulation, secure communication