Abstract

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Title:: Clustering and synchronous transition in a Chay neuron model under electromagnetic induction

Author(s):: MA Juanjuan1; LI Xinying2; YANG Zongkai2; DA Hu3; 1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China 2. School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China 3. Gansu Computation Center, Lanzhou 730046, China

Keywords:: Keywords: cluster type fast-slow dynamics similarity function two-parameter analysis synchronous

Abstract:: On the basis of the firing behaviors of neurons, the clustering of a single Chay neuron under electromagnetic effect is studied by fast-slow dynamics analysis. Based on the number of Hopf bifurcation points on the branches of fast subsystem bifurcation curve and the stable limit cycle of excited state, the clustering types and dynamic behaviors are investigated. Then, a coupled neuron model is established by chemical synaptic coupling under electromagnetic induction. The single- and two-parameter bifurcation diagrams of the coupled system which are obtained by numerical simulation are used for analyzing the firing behaviors of neurons and bifurcation phenomena. Finally, under the combined effect of electromagnetic effect and chemical synaptic coupling, the synchronous change and transition process of the coupled system are quantified. The changes in the dynamic properties of clusters under electromagnetic induction provide means and basis for the analysis of electrophysiological neurons and the pathological study of cell discharge, which not only plays an important role in the basic activities of organisms, such as biological information transmission and coding, but also can be used to explain some basic functions of the brain.