A new locally active memristive synapse-coupled neuron model

In this paper, a new type of non-volatile locally active memristor with bi-stability is proposed by injecting appropriate voltage pulses to realize switching mechanism between two stable states. It found that the memristive parameters can affect local activity, which has been rarely reported, and phenomenon explained based on mathematical analyses numerical simulations. Then, coupled neuron model constructed using as connecting synapse. The parameter-associated dynamical behaviors are revealed bifurcation plots, phase plane portraits evolution maps. Moreover, disclosed attraction basins, periodic burster multi-scroll chaotic if multi-level pulse current used imitate periodical external stimulus neurons. Hamiltonian energy function calculated analyzed or without excitation. Finally, neuronal circuit designed implemented, mimic electrical activity neurons useful for physical applications. experimental results captured from analog consistent well simulation results.