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

Keiji Okumura, Masatoshi Shiino

研究成果: Conference contribution

2 引用 (Scopus)

抄録

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.

元の言語English
ホスト出版物のタイトルLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ページ486-493
ページ数8
6443 LNCS
エディションPART 1
DOI
出版物ステータスPublished - 2010
外部発表Yes
イベント17th International Conference on Neural Information Processing, ICONIP 2010 - Sydney, NSW
継続期間: 2010 11 222010 11 25

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
番号PART 1
6443 LNCS
ISSN(印刷物)03029743
ISSN(電子版)16113349

Other

Other17th International Conference on Neural Information Processing, ICONIP 2010
Sydney, NSW
期間10/11/2210/11/25

Fingerprint

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

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

これを引用

Okumura, K., & Shiino, M. (2010). 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) (PART 1 版, 巻 6443 LNCS, pp. 486-493). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 6443 LNCS, 番号 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). 巻 6443 LNCS PART 1. 編 2010. p. 486-493 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻 6443 LNCS, 番号 PART 1).

研究成果: Conference contribution

Okumura, K & Shiino, M 2010, 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). PART 1 Edn, 巻. 6443 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 番号 PART 1, 巻. 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. : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 版 巻 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). 巻 6443 LNCS PART 1. 版 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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