Negative phase and leader switching in non-weakly coupled two-cell inhibitory networks

Victor Matveev; Myongkeun Oh

doi:10.1142/9789812835291_0023

Negative phase and leader switching in non-weakly coupled two-cell inhibitory networks

Victor Matveev, Myongkeun Oh

Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We examine the dynamics of a non-weakly coupled inhibitory network of two identical Morris-Lecar model neurons with type-I excitability, which was recently shown to exhibit stable alternating-order activity, whereby the spiking order of the two cells changes in each cycle of the oscillation. We provide an intuitive geometric description of such leader switching and demonstrate that the concept of negative phase allows to analyze the existence and stability of such alternating-order dynamics.

Original language	English (US)
Title of host publication	Frontiers of Applied and Computational Mathematics
Subtitle of host publication	New Jersey Institute of Technology, USA, 19 - 21 May 2008
Publisher	World Scientific Publishing Co.
Pages	213-221
Number of pages	9
ISBN (Electronic)	9789812835291
ISBN (Print)	9789812835284
DOIs	https://doi.org/10.1142/9789812835291_0023
State	Published - Jan 1 2008

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

Keywords

Inhibitory network
Leader switching
Non-weakly coupled oscillators
Synchronization

Access to Document

10.1142/9789812835291_0023

Cite this

@inbook{302007d070d345fb9260d489786d4035,

title = "Negative phase and leader switching in non-weakly coupled two-cell inhibitory networks",

abstract = "We examine the dynamics of a non-weakly coupled inhibitory network of two identical Morris-Lecar model neurons with type-I excitability, which was recently shown to exhibit stable alternating-order activity, whereby the spiking order of the two cells changes in each cycle of the oscillation. We provide an intuitive geometric description of such leader switching and demonstrate that the concept of negative phase allows to analyze the existence and stability of such alternating-order dynamics.",

keywords = "Inhibitory network, Leader switching, Non-weakly coupled oscillators, Synchronization",

author = "Victor Matveev and Myongkeun Oh",

year = "2008",

month = jan,

day = "1",

doi = "10.1142/9789812835291_0023",

language = "English (US)",

isbn = "9789812835284",

pages = "213--221",

booktitle = "Frontiers of Applied and Computational Mathematics",

publisher = "World Scientific Publishing Co.",

address = "United States",

}

TY - CHAP

T1 - Negative phase and leader switching in non-weakly coupled two-cell inhibitory networks

AU - Matveev, Victor

AU - Oh, Myongkeun

PY - 2008/1/1

Y1 - 2008/1/1

N2 - We examine the dynamics of a non-weakly coupled inhibitory network of two identical Morris-Lecar model neurons with type-I excitability, which was recently shown to exhibit stable alternating-order activity, whereby the spiking order of the two cells changes in each cycle of the oscillation. We provide an intuitive geometric description of such leader switching and demonstrate that the concept of negative phase allows to analyze the existence and stability of such alternating-order dynamics.

AB - We examine the dynamics of a non-weakly coupled inhibitory network of two identical Morris-Lecar model neurons with type-I excitability, which was recently shown to exhibit stable alternating-order activity, whereby the spiking order of the two cells changes in each cycle of the oscillation. We provide an intuitive geometric description of such leader switching and demonstrate that the concept of negative phase allows to analyze the existence and stability of such alternating-order dynamics.

KW - Inhibitory network

KW - Leader switching

KW - Non-weakly coupled oscillators

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=84969638247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84969638247&partnerID=8YFLogxK

U2 - 10.1142/9789812835291_0023

DO - 10.1142/9789812835291_0023

M3 - Chapter

AN - SCOPUS:84969638247

SN - 9789812835284

SP - 213

EP - 221

BT - Frontiers of Applied and Computational Mathematics

PB - World Scientific Publishing Co.

ER -

Negative phase and leader switching in non-weakly coupled two-cell inhibitory networks

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this