A four-dimensional memristor-coupled neural network chaotic dynamical system based on multi-level logic pulse stimulation

Abstract In this paper, we propose a chaotic dynamics system based on a three-neuron cosine magnetically controlled memristor synapse-coupled Hopfield neural network. The system consists of a line equilibrium set composed of an infinite number of points, these points in the equilibrium set are dictated by the coupling strength, and when the coupling strength reaches 3, the line equilibrium set is composed of an infinite number of stability points and the index-2 saddle-foci. Numerical analysis of the bifurcation diagram, Lyapunov exponents and phase plots, reveals that there are attractors with different orbits in the system with the change in coupling strength. Moreover, after multilevel-logic pulse is added, the neural network has the capability to generate and control intricate multi-scroll attractors according to different system parameter values. The analog circuit of the four-dimensional magnetically controlled memristor synapse-coupled Hopfield neural network was designed, and the correctness of the numerical simulation was verified via PSIM circuit simulation software.