Bifurcation in mutually coupled three neurons with inhibitory synapses

Eri Ioka, Yasuyuki Matusya, Hiroyuki Kitajima

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate a system of mutually coupled three neurons in a line with the inhibitory synapses as a basic motif of complex networks. For class I and class II neurons, bifurcation structure is analyzed when we change the external DC current of a middle neuron. In both classes, the neurons have a wide parameter region in which stable 1:2 cluster synchronous firing is observed as the external DC current of a middle neuron becomes larger than that of outer neurons. For only class I neurons, we observe the stable non-in-phase synchronous firing between three neurons.

Original languageEnglish
Title of host publication2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
Pages612-615
Number of pages4
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event2011 20th European Conference on Circuit Theory and Design, ECCTD 2011 - Linkoping, Sweden
Duration: 2011 Aug 292011 Aug 31

Other

Other2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
CountrySweden
CityLinkoping
Period11/8/2911/8/31

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Neurons
Complex networks

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering

Cite this

Ioka, E., Matusya, Y., & Kitajima, H. (2011). Bifurcation in mutually coupled three neurons with inhibitory synapses. In 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011 (pp. 612-615). [6043617] https://doi.org/10.1109/ECCTD.2011.6043617

Bifurcation in mutually coupled three neurons with inhibitory synapses. / Ioka, Eri; Matusya, Yasuyuki; Kitajima, Hiroyuki.

2011 20th European Conference on Circuit Theory and Design, ECCTD 2011. 2011. p. 612-615 6043617.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ioka, E, Matusya, Y & Kitajima, H 2011, Bifurcation in mutually coupled three neurons with inhibitory synapses. in 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011., 6043617, pp. 612-615, 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011, Linkoping, Sweden, 11/8/29. https://doi.org/10.1109/ECCTD.2011.6043617
Ioka E, Matusya Y, Kitajima H. Bifurcation in mutually coupled three neurons with inhibitory synapses. In 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011. 2011. p. 612-615. 6043617 https://doi.org/10.1109/ECCTD.2011.6043617
Ioka, Eri ; Matusya, Yasuyuki ; Kitajima, Hiroyuki. / Bifurcation in mutually coupled three neurons with inhibitory synapses. 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011. 2011. pp. 612-615
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