Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses

Ping Hao; Ruixue Li; Yanqiu Che; Chunxiao Han

doi:10.1109/CCDC.2013.6561278

Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses

Ping Hao, Ruixue Li, Yanqiu Che, Chunxiao Han

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

Abstract

Excitatory chemical coupling connections are ubiquitous in neuronal system. In this paper, we investigate the effect of conduction time delays on synchronization properties of weakly coupled Morris-Lecar neuronal oscillators via excitatory chemical synapses. We first reduce the complex neuronal dynamics to a simple phase model by means of phase-model reduction method. Then we examine the roles of time delays extensively on the synchronization properties by bifurcation analysis and numerical simulation. Finally, we identify the existence and the stability of various phase-locked states, including in-phase, anti-phase and out-of-phase synchronization states.

Original language	English (US)
Title of host publication	2013 25th Chinese Control and Decision Conference, CCDC 2013
Pages	2076-2079
Number of pages	4
DOIs	https://doi.org/10.1109/CCDC.2013.6561278
State	Published - 2013
Event	2013 25th Chinese Control and Decision Conference, CCDC 2013 - Guiyang, China Duration: May 25 2013 → May 27 2013

Publication series

Name	2013 25th Chinese Control and Decision Conference, CCDC 2013

Other

Other	2013 25th Chinese Control and Decision Conference, CCDC 2013
Country/Territory	China
City	Guiyang
Period	5/25/13 → 5/27/13

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Access to Document

10.1109/CCDC.2013.6561278

Cite this

@inproceedings{79d64f712620495d84072f949458a78e,

title = "Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses",

abstract = "Excitatory chemical coupling connections are ubiquitous in neuronal system. In this paper, we investigate the effect of conduction time delays on synchronization properties of weakly coupled Morris-Lecar neuronal oscillators via excitatory chemical synapses. We first reduce the complex neuronal dynamics to a simple phase model by means of phase-model reduction method. Then we examine the roles of time delays extensively on the synchronization properties by bifurcation analysis and numerical simulation. Finally, we identify the existence and the stability of various phase-locked states, including in-phase, anti-phase and out-of-phase synchronization states.",

author = "Ping Hao and Ruixue Li and Yanqiu Che and Chunxiao Han",

year = "2013",

doi = "10.1109/CCDC.2013.6561278",

language = "English (US)",

isbn = "9781467355322",

series = "2013 25th Chinese Control and Decision Conference, CCDC 2013",

pages = "2076--2079",

booktitle = "2013 25th Chinese Control and Decision Conference, CCDC 2013",

note = "2013 25th Chinese Control and Decision Conference, CCDC 2013 ; Conference date: 25-05-2013 Through 27-05-2013",

}

Hao, P, Li, R, Che, Y & Han, C 2013, Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses. in 2013 25th Chinese Control and Decision Conference, CCDC 2013., 6561278, 2013 25th Chinese Control and Decision Conference, CCDC 2013, pp. 2076-2079, 2013 25th Chinese Control and Decision Conference, CCDC 2013, Guiyang, China, 5/25/13. https://doi.org/10.1109/CCDC.2013.6561278

Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses. / Hao, Ping; Li, Ruixue; Che, Yanqiu et al.
2013 25th Chinese Control and Decision Conference, CCDC 2013. 2013. p. 2076-2079 6561278 (2013 25th Chinese Control and Decision Conference, CCDC 2013).

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

TY - GEN

T1 - Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses

AU - Hao, Ping

AU - Li, Ruixue

AU - Che, Yanqiu

AU - Han, Chunxiao

PY - 2013

Y1 - 2013

N2 - Excitatory chemical coupling connections are ubiquitous in neuronal system. In this paper, we investigate the effect of conduction time delays on synchronization properties of weakly coupled Morris-Lecar neuronal oscillators via excitatory chemical synapses. We first reduce the complex neuronal dynamics to a simple phase model by means of phase-model reduction method. Then we examine the roles of time delays extensively on the synchronization properties by bifurcation analysis and numerical simulation. Finally, we identify the existence and the stability of various phase-locked states, including in-phase, anti-phase and out-of-phase synchronization states.

AB - Excitatory chemical coupling connections are ubiquitous in neuronal system. In this paper, we investigate the effect of conduction time delays on synchronization properties of weakly coupled Morris-Lecar neuronal oscillators via excitatory chemical synapses. We first reduce the complex neuronal dynamics to a simple phase model by means of phase-model reduction method. Then we examine the roles of time delays extensively on the synchronization properties by bifurcation analysis and numerical simulation. Finally, we identify the existence and the stability of various phase-locked states, including in-phase, anti-phase and out-of-phase synchronization states.

UR - http://www.scopus.com/inward/record.url?scp=84882756726&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84882756726&partnerID=8YFLogxK

U2 - 10.1109/CCDC.2013.6561278

DO - 10.1109/CCDC.2013.6561278

M3 - Conference contribution

AN - SCOPUS:84882756726

SN - 9781467355322

T3 - 2013 25th Chinese Control and Decision Conference, CCDC 2013

SP - 2076

EP - 2079

BT - 2013 25th Chinese Control and Decision Conference, CCDC 2013

T2 - 2013 25th Chinese Control and Decision Conference, CCDC 2013

Y2 - 25 May 2013 through 27 May 2013

ER -

Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses

Abstract

Publication series

Other

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this