A phase reduction method for weakly coupled stochastic oscillator systems

Akihisa Ichiki, Yasuomi Sato

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

Abstract

We progressively propose a generalized phase reduction method for a stochastic system of weakly coupled oscillators, regardless of the noise intensity, and analyze dynamical behavior in such a system. This is because noise effects on a phase space were so far described for an uncoupled single stochastic oscillator, subjected only to weak noise. Our method is established with definition of "a phase of the distribution of state variables," rather than by defining distributions on a phase space. The stochastic system of weakly coupled oscillators can then be reduced straightforward to one dimensional phase dynamics. It is also confirmed that our method can be applied into the deterministic system without any noise intensity.

Original languageEnglish
Title of host publicationAdvances in Neural Networks - 8th International Symposium on Neural Networks, ISNN 2011
Pages251-259
Number of pages9
EditionPART 1
DOIs
Publication statusPublished - 2011 Jun 6
Event8th International Symposium on Neural Networks, ISNN 2011 - Guilin, China
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)0302-9743
ISSN (Electronic)1611-3349

Other

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

Keywords

  • a phase reduction method
  • noise independence
  • stochastic oscillators
  • weakly couplings

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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