### 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 |
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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 |

巻 | 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 22 → 2010 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 |

巻 | 6443 LNCS |

ISSN（印刷物） | 03029743 |

ISSN（電子版） | 16113349 |

### Other

Other | 17th International Conference on Neural Information Processing, ICONIP 2010 |
---|---|

市 | Sydney, NSW |

期間 | 10/11/22 → 10/11/25 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### これを引用

*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.

研究成果: Conference contribution

*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

}

TY - GEN

T1 - Analytical approach to noise effects on synchronization in a system of coupled excitable elements

AU - Okumura, Keiji

AU - Shiino, Masatoshi

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Bifurcations

KW - Langevin equations

KW - Mean-field model

KW - Noise induced synchronization

KW - Nonequilibrium phase transitions

KW - Nonlinear Fokker-Planck equation

KW - Stochastic limit cycle

UR - http://www.scopus.com/inward/record.url?scp=78650182233&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650182233&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-17537-4_60

DO - 10.1007/978-3-642-17537-4_60

M3 - Conference contribution

AN - SCOPUS:78650182233

SN - 3642175368

SN - 9783642175367

VL - 6443 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 486

EP - 493

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ER -