Analytical approach to noise effects on synchronization in a system of coupled excitable elements

Keiji Okumura, Masatoshi Shiino

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

2 Citations (Scopus)

Abstract

We report relationships between the effects of noise and applied constant currents on the behavior of a system of excitable elements. The analytical approach based on the nonlinear Fokker-Planck equation of a mean-field model allows us to study the effects of noise without approximations only by dealing with deterministic nonlinear dynamics . We find the similarity, with respect to the occurrence of oscillations involving subcritical Hopf bifurcations, between the systems of an excitable element with applied constant currents and mean-field coupled excitable elements with noise.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages486-493
Number of pages8
Volume6443 LNCS
EditionPART 1
DOIs
Publication statusPublished - 2010
Externally publishedYes
Event17th International Conference on Neural Information Processing, ICONIP 2010 - Sydney, NSW
Duration: 2010 Nov 222010 Nov 25

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume6443 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other17th International Conference on Neural Information Processing, ICONIP 2010
CitySydney, NSW
Period10/11/2210/11/25

Fingerprint

Fokker Planck equation
Hopf bifurcation
Synchronization
Nonlinear Fokker-Planck Equations
Mean-field Model
Hopf Bifurcation
Mean Field
Nonlinear Dynamics
Oscillation
Approximation
Similarity
Relationships

Keywords

  • Bifurcations
  • Langevin equations
  • Mean-field model
  • Noise induced synchronization
  • Nonequilibrium phase transitions
  • Nonlinear Fokker-Planck equation
  • Stochastic limit cycle

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Okumura, K., & Shiino, M. (2010). Analytical approach to noise effects on synchronization in a system of coupled excitable elements. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (PART 1 ed., Vol. 6443 LNCS, pp. 486-493). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6443 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-17537-4_60

Analytical approach to noise effects on synchronization in a system of coupled excitable elements. / Okumura, Keiji; Shiino, Masatoshi.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 6443 LNCS PART 1. ed. 2010. p. 486-493 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6443 LNCS, No. PART 1).

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

Okumura, K & Shiino, M 2010, Analytical approach to noise effects on synchronization in a system of coupled excitable elements. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 edn, vol. 6443 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 6443 LNCS, pp. 486-493, 17th International Conference on Neural Information Processing, ICONIP 2010, Sydney, NSW, 10/11/22. https://doi.org/10.1007/978-3-642-17537-4_60
Okumura K, Shiino M. Analytical approach to noise effects on synchronization in a system of coupled excitable elements. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 ed. Vol. 6443 LNCS. 2010. p. 486-493. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1). https://doi.org/10.1007/978-3-642-17537-4_60
Okumura, Keiji ; Shiino, Masatoshi. / Analytical approach to noise effects on synchronization in a system of coupled excitable elements. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 6443 LNCS PART 1. ed. 2010. pp. 486-493 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).
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