Thermal effects on phase response curves and synchronization transition

Yasuomi D. Sato, Keiji Okumura, Akihisa Ichiki, Masatoshi Shiino

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

5 Citations (Scopus)

Abstract

We study temperature modulated synchronization phenomena in the Morris-Lecar (ML) models with synaptic couplings. Little has been known about the thermal effects on synchronization in a real nervous system. Dynamical mechanisms on such synchronization are investigated by linear stability analysis with phase descriptions for the ML type, in order to understand the effects of temperature on the phase response curve (PRC). We find two types of PRC shape modulation induced by changes in temperature that depend on an injected current amplitude: (1) the PRC shape switch between the type-I and type-II, and (2) the almost unchanged appearance of a type-II PRC. A large variety of synchronization is demonstrated with these changes in the PRC shapes.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages287-296
Number of pages10
Volume6675 LNCS
EditionPART 1
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event8th International Symposium on Neural Networks, ISNN 2011 - Guilin
Duration: 2011 May 292011 Jun 1

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume6675 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other8th International Symposium on Neural Networks, ISNN 2011
CityGuilin
Period11/5/2911/6/1

Keywords

  • a phase reduction method
  • phase response curves
  • synchronization transition
  • Temperature modulation

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

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  • Cite this

    Sato, Y. D., Okumura, K., Ichiki, A., & Shiino, M. (2011). Thermal effects on phase response curves and synchronization transition. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (PART 1 ed., Vol. 6675 LNCS, pp. 287-296). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6675 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-21105-8_34