Transitions from bursting to spiking due to depolarizing current in the Chay neuronal model

Zhuoqin Yang; Qishao Lu

doi:10.1016/j.cnsns.2005.01.014

Transitions from bursting to spiking due to depolarizing current in the Chay neuronal model

Zhuoqin Yang
, Qishao Lu^*

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Distinct transitions of firing activities from bursting to spiking induced by the depolarizing current I are explored near the Hopf bifurcations in the Chay neuronal system. The period-1 "circle/homoclinic" bursting at one rest state makes a transition slowly to repetitive spiking with the parameter I increasing. However, the "Hopf/homoclinic" bursting via a "fold/homoclinic" hysteresis loop at another rest state may transit to continuous spiking abruptly by increasing I.

Original language	English
Pages (from-to)	357-365
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	12
Issue number	3
DOIs	https://doi.org/10.1016/j.cnsns.2005.01.014
State	Published - Jun 2007

Keywords

Bifurcation
Fast/slow dynamic analysis
Spiking
Ursting

Access to Document

10.1016/j.cnsns.2005.01.014

Cite this

@article{1d6c2eaa3fa44a8b92374c1f0ef0eb8b,

title = "Transitions from bursting to spiking due to depolarizing current in the Chay neuronal model",

abstract = "Distinct transitions of firing activities from bursting to spiking induced by the depolarizing current I are explored near the Hopf bifurcations in the Chay neuronal system. The period-1 {"}circle/homoclinic{"} bursting at one rest state makes a transition slowly to repetitive spiking with the parameter I increasing. However, the {"}Hopf/homoclinic{"} bursting via a {"}fold/homoclinic{"} hysteresis loop at another rest state may transit to continuous spiking abruptly by increasing I.",

keywords = "Bifurcation, Fast/slow dynamic analysis, Spiking, Ursting",

author = "Zhuoqin Yang and Qishao Lu",

year = "2007",

month = jun,

doi = "10.1016/j.cnsns.2005.01.014",

language = "英语",

volume = "12",

pages = "357--365",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Transitions from bursting to spiking due to depolarizing current in the Chay neuronal model

AU - Yang, Zhuoqin

AU - Lu, Qishao

PY - 2007/6

Y1 - 2007/6

N2 - Distinct transitions of firing activities from bursting to spiking induced by the depolarizing current I are explored near the Hopf bifurcations in the Chay neuronal system. The period-1 "circle/homoclinic" bursting at one rest state makes a transition slowly to repetitive spiking with the parameter I increasing. However, the "Hopf/homoclinic" bursting via a "fold/homoclinic" hysteresis loop at another rest state may transit to continuous spiking abruptly by increasing I.

AB - Distinct transitions of firing activities from bursting to spiking induced by the depolarizing current I are explored near the Hopf bifurcations in the Chay neuronal system. The period-1 "circle/homoclinic" bursting at one rest state makes a transition slowly to repetitive spiking with the parameter I increasing. However, the "Hopf/homoclinic" bursting via a "fold/homoclinic" hysteresis loop at another rest state may transit to continuous spiking abruptly by increasing I.

KW - Bifurcation

KW - Fast/slow dynamic analysis

KW - Spiking

KW - Ursting

UR - https://www.scopus.com/pages/publications/33750529195

U2 - 10.1016/j.cnsns.2005.01.014

DO - 10.1016/j.cnsns.2005.01.014

M3 - 文章

AN - SCOPUS:33750529195

SN - 1007-5704

VL - 12

SP - 357

EP - 365

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 3

ER -

Transitions from bursting to spiking due to depolarizing current in the Chay neuronal model

Abstract

Keywords

Access to Document

Other files and links

Cite this