Effects of Time Delay on Bifurcation and Synchronization of Flux-Coupled and Chemically Coupled Neurons

ZHANG Jie; LI Xinying; YANG Zongkai; DA Hu

doi:10.21656/1000-0887.420381

Volume 43 Issue 12

Dec. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(12): 1336-1346

ZHANG Jie, LI Xinying, YANG Zongkai, DA Hu. Effects of Time Delay on Bifurcation and Synchronization of Flux-Coupled and Chemically Coupled Neurons[J]. Applied Mathematics and Mechanics, 2022, 43(12): 1336-1346. doi: 10.21656/1000-0887.420381

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Effects of Time Delay on Bifurcation and Synchronization of Flux-Coupled and Chemically Coupled Neurons

doi: 10.21656/1000-0887.420381

ZHANG Jie^1
,,
LI Xinying^{2
,
,},
YANG Zongkai²,
DA Hu³

1.
School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China
2.
School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China
3.
Gansu Computation Center, Lanzhou 730046, P.R.China

Received Date: 2021-12-07
Rev Recd Date: 2022-02-04

Available Online: 2022-11-28

Publish Date: 2022-12-01

Abstract

Abstract

Based on the chemical synaptic coupled neuron model, the differences and types of synchronization under inhibitory and excitatory conditions were discussed. According to the effect of the magnetic flow coupling on neuron discharge, the discharge states, bifurcation types and synchronization of the Morris-Lecar (ML) neuron models with time delay, magnetic flux coupling and chemical coupling, were analyzed. The results show that, the ML neuronal systems with magnetic flow coupling and chemical coupling can produce rich inverse periodic bifurcation or incremental periodic bifurcation behaviors under different parameters. The introduction of time delay, although can increase the periodicity of the system, will also break the system synchronization. Conversely, an appropriate coupling strength can enhance synchronization.
- time delay,
- flux-coupled,
- bifurcation,
- synchronization

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References(16)

References

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