Work

A cubic-quadratic phenomenological model explains the spiking, chaotic and bursting behaviors of neuron

Year: 2025

Type: article

Abstract: In this manuscript, we present a two-dimensional phenomenological spiking neuron model. By analyzing the bifurcation diagram and phase portraits of the two-dimensional model, Andronov-Hopf bifurcation, saddle-point bifurcation and saddle-point on invariant circle bifurcation are discussed in detail. Based on the above analysis, a periodic input current is designed to simulate the basic firing mode of a single neuron. With the change of the input current frequency, the model can reproduce rich dynamical behaviors such as spike, bursts, and chaos.

Source: Scientific Reports

DOI: 10.1038/s41598-025-98381-6

Authors: Shuihan Qiu, Yeyuge Chen, Zengru Di

Institutions: Jiangsu University of Science and Technology, Beijing Normal University, Beijing Normal University, Zhuhai

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,690

OpenAlex ID: W4409800116