Singular perturbation approach with Matsuoka oscillator and synchronization phenomena

Yasuomi D. Sato, Kazuki Nakada, Kiyotoshi Matsuoka

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

2 Citations (Scopus)

Abstract

We study the singular perturbation approach in a pair of Matsuoka nonlinear neural oscillators, which consist of membrane potential (v) and recovery (u) dynamics with a relaxation rate (P). This shows that the u-coupled system of the Matsuoka oscillators would be valid for the modeling of neural firings. The coupled integrate-and-fire model of the improved type with an impulse-like interval results from the u-coupled system, under taking the limit of P → ∞, without loss of any coupling properties. We simulate systematically synchronization of both the v-coupled and u-coupled systems. We also discuss potential capabilities of the u-coupled system of Matsuoka oscillators.

Original languageEnglish
Title of host publicationArtificial Neural Networks and Machine Learning, ICANN 2011 - 21st International Conference on Artificial Neural Networks, Proceedings
Pages269-276
Number of pages8
EditionPART 2
DOIs
Publication statusPublished - 2011 Jun 24
Event21st International Conference on Artificial Neural Networks, ICANN 2011 - Espoo, Finland
Duration: 2011 Jun 142011 Jun 17

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 2
Volume6792 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other21st International Conference on Artificial Neural Networks, ICANN 2011
CountryFinland
CityEspoo
Period11/6/1411/6/17

Keywords

  • Integrate-and-fire Oscillators
  • Matsuoka Oscillators
  • Singular Perturbation Approach

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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