Synchronous control of memristive hindmarsh-rose neuron models with extreme multistability

In this paper, the circuit simulation is achieved by the established Hindmarsh-Rose (HR) neuron model and the system is applied in projection synchronization. The chaotic behaviors of the neural network model are analyzed using bifurcation diagrams, Lyapunov exponents spectra, phase diagrams and time series diagrams. The dynamics analysis of the neuron model shows a variety of firing behaviors and extreme multistability behavior. The model is then simulated through circuit multisim to demonstrate the possibility in a physical sense. Finally, synchronization is induced to the memristive neural system through projection control, and the experimental results show that the model embodies a good synchronization effect in the process of projection synchronization, which helps to improve the security of signal transmission and the confidentiality of the system, and lays the foundation for the secure communication afterwards.