关键词: 奇异态, FHN神经元模型, 光敏神经元, 同步

Abstract: On the basis of the FitzHugh-Nagumo(FHN) neuron model containing phototubes, we connected the inductors in series with phototubes to construct a photosensitive neuron model. Firstly, we plotted the time-space diagram and membrane potential phase diagram of the network under different coupling strengths by numerical simulation. Secondly, we changed the amplitude of the external excitation source of the neuron and the output voltage amplitude of the phototube separately, and calculated the order parameter SI under the corresponding parameters. Finally, the values of the amplitude of the external excitation source and the output voltage amplitude of the phototube for each neuron were randomly selected from a normal distribution, we constructed a non-all-identical neural network, changed the coupling strength and the standard deviation of the normal distribution, and calculated the corresponding order parameter SI. The results show that, when the coupling strength increases within a certain parameter range, the network can transition from asynchronous to chimera state, and ultimately achieving synchronous. The appropriate value of amplitude can expand the coupling strength interval corresponding to chimera state. In the non-all-identical neuron network, the coupling strength interval corresponding to the chimera state is positively correlated with the value of the standard deviation.

Key words: chimera state, FHN neuron model, photosensitive neuron, synchronization