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 proceedingConference 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 languageEnglish (US)
Title of host publication2013 25th Chinese Control and Decision Conference, CCDC 2013
Pages2076-2079
Number of pages4
DOIs
StatePublished - Aug 28 2013
Event2013 25th Chinese Control and Decision Conference, CCDC 2013 - Guiyang, China
Duration: May 25 2013May 27 2013

Publication series

Name2013 25th Chinese Control and Decision Conference, CCDC 2013

Other

Other2013 25th Chinese Control and Decision Conference, CCDC 2013
CountryChina
CityGuiyang
Period5/25/135/27/13

Fingerprint

Neurons
Synchronization
Time delay
Computer simulation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

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 (pp. 2076-2079). [6561278] (2013 25th Chinese Control and Decision Conference, CCDC 2013). https://doi.org/10.1109/CCDC.2013.6561278
Hao, Ping ; Li, Ruixue ; Che, Yanqiu ; Han, Chunxiao. / Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses. 2013 25th Chinese Control and Decision Conference, CCDC 2013. 2013. pp. 2076-2079 (2013 25th Chinese Control and Decision Conference, CCDC 2013).
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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",
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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; Han, Chunxiao.

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 proceedingConference contribution

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Hao P, Li R, Che Y, Han C. Effect of delay on the synchronization of weakly coupled neurons via excitatory chemical synapses. In 2013 25th Chinese Control and Decision Conference, CCDC 2013. 2013. p. 2076-2079. 6561278. (2013 25th Chinese Control and Decision Conference, CCDC 2013). https://doi.org/10.1109/CCDC.2013.6561278