Model studies on time-scaled phase response curves and synchronization transition

Authors:
Yasuomi D. Sato;Keiji Okumura;Masatoshi Shiino
Affiliations:
Department of Brain Science and Engineering, Graduate School of Life Science and Systems Engineering, Kyushu Institute of Technology, Kitakyushu, Japan and Frankfurt Institute for Advanced Studies ...;Department of Physics, Faculty of Science, Tokyo Institute of Technology, Tokyo, Japan;Department of Physics, Faculty of Science, Tokyo Institute of Technology, Tokyo, Japan
Venue:
ICONIP'10 Proceedings of the 17th international conference on Neural information processing: theory and algorithms - Volume Part I
Year:
2010

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Abstract

We studied possibilities of classification of single spike neuron models by their intrinsic timescale parameters, because little is known about changes of timescale on spiking dynamics, and its influence on other spike properties and network dynamics such as synchronization. Using both FitzHugh-Nagumo (FHN) type and Terman-Wang (TW) type of theoretically tractable models, analysis of the phase response curve (PRC) found common and unique dynamic characteristics with respect to two parameters of timescale and injected current amplitude in the models. Also, a scheme of synchronization transition in the identical pair systems, in which two identical models mutually interact through the same model of synaptic response, was systematically explained by controlling these parameters. Then we found their common and unique synchronous behaviors.