How noise transforms spiking into bursting in a neuron model having the Lukyanov–Shilnikov bifurcation-Reference-Cited by-同舟云学术

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How noise transforms spiking into bursting in a neuron model having the Lukyanov–Shilnikov bifurcation

Published:2023-04 Issue: Volume:118 Page:106992
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Slepukhina Evdokiia^ORCID,Bashkirtseva Irina,Ryashko Lev,Kügler Philipp

Funder

Russian Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference54 articles.

1. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields;Guckenheimer,1983

2. Dynamic models in biology;Ellner,2006

3. Nonlinear dynamics of interacting populations;Bazykin,1998

4. Dynamical systems in neuroscience: The geometry of excitability and bursting;Izhikevich,2007

5. Computational approaches to cellular rhythms;Goldbeter;Nature,2002

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Firing activities of hippocampal CA1 neuron model under electromagnetic stimulation;Nonlinear Dynamics;2024-04-25

2. Generation of stochastic mixed-mode oscillations in a pair of VDP oscillators with direct-indirect coupling;Mathematical Biosciences and Engineering;2023

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