Presentation 2008-06-27
Bifurcation in Neurons Driven by Synaptic Currents with Multiple Frequencies
Eri IOKA, Hiroyuki KITAJIMA,
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Abstract(in English) In our previous study, we considered a model of unidirectionally coupled driven and driving neurons, and obtained that the neurons are synchronized in low and high firing frequency by the inhibitory and excitatory coupling, respectively. In this study, we add the third neuron unidirectionally connected to the above two neurons. This neuron drives other neurons. We study synchronization observed in a system of multiple driving and driven neurons. However, generically, it is difficult to analyze synchronization of the neurons driven by external forces with the multiple frequencies, because the Poincare mapping cannot be defined. In our model, we fluctuate the firing frequency of the neurons by changing the value of external DC current for driving neurons. As a result, this system behaves like a forced system in which external forces' frequencies are different. When the synapse is inhibitory, the neurons have a wide parameter region in which stable synchronous firing is observed as the external DC currents of the driving neuron becomes small.
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Keyword(in English) Synchronization / class II neurons / chemical synapses / driven and driving neurons
Paper # NLP2008-15
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Conference Information
Committee NLP
Conference Date 2008/6/20(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Bifurcation in Neurons Driven by Synaptic Currents with Multiple Frequencies
Sub Title (in English)
Keyword(1) Synchronization
Keyword(2) class II neurons
Keyword(3) chemical synapses
Keyword(4) driven and driving neurons
1st Author's Name Eri IOKA
1st Author's Affiliation Faculty of Engineering, Kagawa University()
2nd Author's Name Hiroyuki KITAJIMA
2nd Author's Affiliation Faculty of Engineering, Kagawa University
Date 2008-06-27
Paper # NLP2008-15
Volume (vol) vol.108
Number (no) 103
Page pp.pp.-
#Pages 4
Date of Issue