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Understanding self-organized mechanism through construction of oscillator network with the given complex time evolution

Research Project

Project/Area Number 15K05221
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionOsaka Electro-Communication University

Principal Investigator

Tatsuo Yanagita  大阪電気通信大学, 工学部, 教授 (80242262)

Co-Investigator(Kenkyū-buntansha) 青柳 富誌生  京都大学, 情報学研究科, 教授 (90252486)
Research Collaborator Alexander Mikhailov  Fritz-Haber研究所
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsネットワーク型力学系 / マルコフ連鎖モンテカルロ法 / カオス / 力学系の設計 / 振動子集団 / 蔵本モデル / 分岐 / パワースペクトラム / カオス力学系 / 非線形数理学 / 同期
Outline of Final Research Achievements

The purposes of this research are the following: 1) developing the algorithm to design a functional dynamical system 2) through the designing process by the developed method, extracting the self-organized rule which emerges the given function.
We have developed the Markov chain Monte Carlo method to design the oscillator network which generates the given complex time signals. We considered the real-valued connection network, and adapted the staggered-step method for the Monte Carlo method. Through the method, we have design oscillator network which generates periodic, quasi-periodic and chaotic signals. We have shown that, by designing the real-valued connection network, even the network of 10 oscillators produces fruitful time evolutions including chaos. In fact, such network oscillator can produce time signal with white colored power spectrum. In technological point of view, such tunable network oscillator is useful as signal generator with given characteristics.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (27 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (3 results) Journal Article (9 results) (of which Peer Reviewed: 9 results,  Open Access: 4 results,  Acknowledgement Compliant: 3 results) Presentation (14 results) (of which Int'l Joint Research: 6 results,  Invited: 2 results) Book (1 results)

  • [Int'l Joint Research] Fritz-Haber-Institut(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Fritz Haber Institute(Germany)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Fritz Haber Institute(Germany)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Bayesian estimation of phase dynamics based on partially sampled spikes generated by realistic model neurons2018

    • Author(s)
      Kento Suzuki,Toshio Aoyagi,Katsunori Kitano
    • Journal Title

      Frontiers in Computational Neuroscience

      Volume: 11 Pages: 116-116

    • DOI

      10.3389/fncom.2017.00116

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A dynamical systems approach for estimating phase interactions between rhythms of different frequencies from experimental data2018

    • Author(s)
      Takayuki Onojima,Takahiro Goto,Hiroaki Mizuhara,Toshio Aoyagi
    • Journal Title

      PLOS Computational Biology

      Volume: 14 Issue: 1 Pages: e1005928-e1005928

    • DOI

      10.1371/journal.pcbi.1005928

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Design of Oscillator Networks for Generating Signal with Prescribed Statistical Property2017

    • Author(s)
      Tatsuo Yanagita
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 936 Pages: 012073-012073

    • DOI

      10.1088/1742-6596/936/1/012073

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 鎖状系のエネルギー分配と遅い緩和:Boltzmann-Jeans 則2017

    • Author(s)
      小西哲郎, 柳田達雄
    • Journal Title

      日本物理学会誌

      Volume: 72 Pages: 782-788

    • NAID

      130007431242

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems2017

    • Author(s)
      Kawamura Yoji、Shirasaka Sho、Yanagita Tatsuo、Nakao Hiroya
    • Journal Title

      Physical Review E

      Volume: 96 Issue: 1 Pages: 012224-012236

    • DOI

      10.1103/physreve.96.012224

    • NAID

      120006582616

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Slow relaxation of kinetic energy of a spring-chain model in solvent2016

    • Author(s)
      Tetsuro Konishi and Tatsuo Yanagita
    • Journal Title

      Journal of Statistical Mechanics

      Volume: 3 Issue: 3 Pages: 033201-033223

    • DOI

      10.1088/1742-5468/2016/03/033201

    • Related Report
      2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Nonstandard transitions in the Kuramoto model: a role of asymmetry in natural frequency distributions2016

    • Author(s)
      Yu Terada, Keigo Ito, Toshio Aoyagi and Yoshiyuki Y. Yamaguchi
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment: Theory and Experiment

      Volume: 13403 Issue: 1 Pages: 13403-13403

    • DOI

      10.1088/1742-5468/aa53f6

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Dynamics of two populations of phase oscilltors with different frequency distributions2016

    • Author(s)
      Yu Terada and Toshio Aoyagi
    • Journal Title

      Physical Review E

      Volume: 94 Issue: 1 Pages: 012213-012213

    • DOI

      10.1103/physreve.94.012213

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Learning in neural networks based on a generalized fluctuation theorem2015

    • Author(s)
      Takashi Hayakawa and Toshio Aoyagi
    • Journal Title

      Physical Review E

      Volume: 92 Issue: 5 Pages: 052710-052721

    • DOI

      10.1103/physreve.92.052710

    • NAID

      120005818282

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] 擬似的に束縛された鎖状系の緩和現象2018

    • Author(s)
      柳田達雄,小西哲郎
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] カオス遍歴時系列データの主成分分析2018

    • Author(s)
      荒井貴光, 青柳富誌生
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 束縛系鎖モデルの局所運動のデザイン2017

    • Author(s)
      柳田達雄,小西哲郎
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Design of Oscillator Networks for Generating Signal with Prescribed Statistical Property2017

    • Author(s)
      Tatsuo Yanagita
    • Organizer
      6th International Conference on Mathematical Modeling in Physical Sciences
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 財の交換モデルにみられる富の分布について2017

    • Author(s)
      柳田達雄
    • Organizer
      マクロ経済動学の非線形数理,京都大学数理解析研究所
    • Related Report
      2017 Annual Research Report
  • [Presentation] 振動子系における相互作用の有無が位相応答曲線の推定に与える影響について2017

    • Author(s)
      枡井啓貴, 青柳富誌生
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Emergence of locally energetic motion in chain-type systems2016

    • Author(s)
      Tatsuo Yanagita and Teturo Konishi
    • Organizer
      Dynamics Days Asia Pacific 9
    • Place of Presentation
      Hong Kong University of Science and Technology
    • Year and Date
      2016-12-14
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Energy concentration and its relaxation to equilibrium in chain-type Hamiltonian systems2016

    • Author(s)
      Tatsuo Yanagita and Tetsuro Konishi
    • Organizer
      Interdisciplinary Applications of Nonlinear Science
    • Place of Presentation
      Kagoshima University
    • Year and Date
      2016-11-03
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Analysis of coupled phase oscillators with bimodal natural frequency distributions2016

    • Author(s)
      Yu Terada, Keigo Ito, Yoshiyuki Y. Yamaguchi and Toshio Aoyagi
    • Organizer
      Interdisciplinary Applications of Nonlinear Science
    • Place of Presentation
      Kagoshima University
    • Year and Date
      2016-11-03
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 二部グラフ構造を持つ位相振動子型連想記憶モデル2016

    • Author(s)
      荒井貴光, 青柳富誌生
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学角間キャンパス
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] 衝突に起因する鎖状分子の運動2016

    • Author(s)
      柳田達雄,小西哲郎
    • Organizer
      日本物理学会 第71回年次大会
    • Place of Presentation
      東北学院大学(宮城県,仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] 位相記述が破綻する摂動強度を予測するための基盤的方法2016

    • Author(s)
      今井貴史, 青柳富誌生
    • Organizer
      第71回年次大会
    • Place of Presentation
      東北学院大学(宮城県,仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Design of oscillator networks, synchronization and chaos2016

    • Author(s)
      Tatsuo Yanagita
    • Organizer
      International Workshop New Frontiers in Nonlinear Sciences
    • Place of Presentation
      Hotel KANRONOMORI, Niseko, JAPAN
    • Year and Date
      2016-03-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Applications of Extended Ensemble Monte Carlo for Dynamical Systems2015

    • Author(s)
      Tatsuo Yanagita
    • Organizer
      XXXV Dynamics Days Europe
    • Place of Presentation
      University of Exeter, England
    • Year and Date
      2015-09-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Book] 地形現象のモデリング;第2章「河川~流路形成の計算機実験」2017

    • Author(s)
      柳田達雄
    • Total Pages
      288
    • Publisher
      名古屋大学出版会
    • ISBN
      9784815808877
    • Related Report
      2017 Annual Research Report

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Published: 2015-04-16   Modified: 2022-08-05  

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