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Mathematical Research on Dynamical Robustness of Complex Networks

Research Project

Project/Area Number 24700222
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Sensitivity informatics/Soft computing
Research InstitutionThe University of Tokyo

Principal Investigator

TANAKA Gouhei  東京大学, 工学(系)研究科(研究院), 特任准教授 (90444075)

Project Period (FY) 2012-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords複雑ネットワーク / ロバスト性 / 振動子 / 相転移 / 分岐現象 / 同期現象 / 生体網 / 感染症伝播 / ネットワーク / 非線形力学 / 振動現象 / 感染症 / 頑健性 / ダイナミクス
Research Abstract

Power networks, the Internet, biological networks, human contact networks are regarded as complex networks. In order to consider preventive measures for a breakdown of network functions, it is important to understand how the complex networks are robust against the failure of network elements. In this research, we have focused on the network function maintained by dynamical behavior on the network. We have developed the theoretical framework for network robustness analysis and performed applications. In particular, we have shown that the elements which have a small number of interactions can be important rather than hub elements in heterogeneously coupled oscillator networks. Further, we applied our method to the analysis of biological networks with complex structure and epidemic spreading in heterogeneously connected patches.

Report

(3 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • Research Products

    (33 results)

All 2014 2013 2012 Other

All Journal Article (3 results) (of which Peer Reviewed: 1 results) Presentation (27 results) (of which Invited: 5 results) Remarks (1 results) Patent(Industrial Property Rights) (2 results)

  • [Journal Article] Dynamical robustness of coupled heterogeneous oscillators2014

    • Author(s)
      Gouhei Tanaka, Kai Morino, Kazuyuki Aihara
    • Journal Title

      Physical Review E

      Volume: Vol. 89, Issue 5, 052906 Issue: 5

    • DOI

      10.1103/physreve.89.052906

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Efficient recovery of dynamic behavior in coupled oscillator networks2013

    • Author(s)
      Kai Morino, Gouhei Tanaka, Kazuyuki Aihara
    • Journal Title

      Physical Review E

      Volume: Vol. 88 Issue: 3 Pages: 32909-32909

    • DOI

      10.1103/physreve.88.032909

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Journal Article] Dynamical robustness in complex networks : the crucial role of low-degree nodes2012

    • Author(s)
      Gouhei Tanaka, Kai Morino, Kazuyuki Aihara
    • Journal Title

      Scientific Reports

      Volume: Vol. 2 Issue: 1 Pages: 232-232

    • DOI

      10.1038/srep00232

    • Related Report
      2013 Final Research Report
  • [Presentation] Dynamical Robustness of Complex Oscillator Networks2014

    • Author(s)
      Gouhei Tanaka, Kai Morino, Kazuyuki Aihara
    • Organizer
      The 33rd Dynamics Days Europe
    • Place of Presentation
      Madrid (Spain)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 感染症流行モデルにおけるワクチン配分問題と最適制御2014

    • Author(s)
      田中剛平
    • Organizer
      計測自動制御学会 第1回制御部門マルチシンポジウム
    • Place of Presentation
      電気通信大学 (東京都)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Failure recovery in complex networks composed of active and inactive oscillators2013

    • Author(s)
      Kai Morino, Gouhei Tanaka, Kazuyuki Aihara
    • Organizer
      Network Frontier Workshop 2013
    • Place of Presentation
      エバンストン(USA)
    • Year and Date
      2013-12-06
    • Related Report
      2013 Final Research Report
  • [Presentation] Epidemic spreading in metapopulation networks with heterogeneous infection risks2013

    • Author(s)
      Gouhei Tanaka, Chiyori Urabe, Kazuyuki Aihara
    • Organizer
      EPIDEMICS 4
    • Place of Presentation
      アムステルダム(オランダ)
    • Year and Date
      2013-11-21
    • Related Report
      2013 Final Research Report
  • [Presentation] Epidemic spreading in metapopulation networks and its control2013

    • Author(s)
      Gouhei Tanaka
    • Organizer
      The 3^<rd> International Symposium on Innovative Mathematical Modelling
    • Place of Presentation
      東京
    • Year and Date
      2013-11-14
    • Related Report
      2013 Final Research Report
  • [Presentation] メタポピュレーションネットワークモデルに基づく感染症対策戦略の有効性の評価2013

    • Author(s)
      田中剛平,占部千由,合原一幸
    • Organizer
      文科省ワークショップ
    • Place of Presentation
      東京
    • Year and Date
      2013-10-23
    • Related Report
      2013 Final Research Report
  • [Presentation] 意見形成モデルにおける一極集中現象と中立者の影響2013

    • Author(s)
      竹内大樹,田中剛平,藤江遼,合原一幸,鈴木秀幸
    • Organizer
      日本数理生物学会第23回年会
    • Place of Presentation
      静岡
    • Year and Date
      2013-09-12
    • Related Report
      2013 Final Research Report
  • [Presentation] Dynamical Robustness of Complex Oscillator Networks2013

    • Author(s)
      Gouhei Tanaka, Kai Morino, Kazuyuki Aihara
    • Organizer
      The 33^<rd> Dynamics Days Europe
    • Place of Presentation
      マドリード(スペイン)
    • Year and Date
      2013-06-03
    • Related Report
      2013 Final Research Report
  • [Presentation] Effect of assortativity on dynamical robustness of oscillator networks2013

    • Author(s)
      Takeyuki Sasai, Kai Morino, Gouhei Tanaka, Kazuyuki Aihara
    • Organizer
      JSPS Core-to-Core Program and Specially Promoted Research Joint Symposium
    • Place of Presentation
      東京
    • Year and Date
      2013-03-27
    • Related Report
      2013 Final Research Report
  • [Presentation] Failure recovery in complex networks composed of active and inactive oscillators2013

    • Author(s)
      Kai Morino, Gouhei Tanaka, Kazuyuki Aihara
    • Organizer
      Network Frontier Workshop 2013
    • Place of Presentation
      Northwestern University (Evanston, USA)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Epidemic spreading in metapopulation networks with heterogeneous infection risks2013

    • Author(s)
      Gouhei Tanaka, Chiyori Urabe, Kazuyuki Aihara
    • Organizer
      Epidemics 4
    • Place of Presentation
      Amsterdam (Netherlands)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Epidemic Spreading in Metapopulation Networks and its Control: Theory and Applications2013

    • Author(s)
      Gouhei Tanaka
    • Organizer
      The 3rd International Symposium on Innovative Mathematical Modelling
    • Place of Presentation
      東京大学 (東京都)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Effective strategy to recover global oscillation in damaged oscillator networks2013

    • Author(s)
      Kai Morino, Gouhei Tanaka, Kazuyuki Aihara
    • Organizer
      The 3rd International Symposium on Innovative Mathematical Modelling
    • Place of Presentation
      東京大学 (東京都)
    • Related Report
      2013 Annual Research Report
  • [Presentation] メタポピュレーションネットワークモデルに基づく感染症対策戦略の有効性の評価2013

    • Author(s)
      田中剛平、占部千由、合原一幸
    • Organizer
      文科省ワークショップ「感染症流行モデリング:理論、実践とシミュレーションのギャップを埋める」
    • Place of Presentation
      東京大学 (東京都)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Effect of Assortativity on Dynamical Robustness of Oscillator Networks2013

    • Author(s)
      Takeyuki Sasai, Kai Morino, Gouhei Tanaka, Kazuyuki Aihara
    • Organizer
      JSPS Core-to-Core Program and Specially Promoted Research Joint Symposium
    • Place of Presentation
      Tokyo
    • Related Report
      2012 Research-status Report
  • [Presentation] 生命ネットワークにおける動的ロバスト性の数理的解析2012

    • Author(s)
      田中剛平,森野佳生,合原一幸
    • Organizer
      日本生物物理学会第50回年会
    • Place of Presentation
      名古屋
    • Year and Date
      2012-09-22
    • Related Report
      2013 Final Research Report
  • [Presentation] Robustness and fragility of dynamics on complex networks2012

    • Author(s)
      Gouhei Tanaka
    • Organizer
      International Conference on Towards Mathematical Foundations of Complex Networks Theory
    • Place of Presentation
      京都
    • Year and Date
      2012-09-16
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Spreading in heterogeneous metapopulation networks composed of high-risk and low-risk patches2012

    • Author(s)
      Gouhei Tanaka, Chiyori, Urabe, Kazuyuki Aihara
    • Organizer
      Workshop of Epidemics on Networks : Current Trends and Challenges
    • Place of Presentation
      ジローナ(スペイン)
    • Year and Date
      2012-09-06
    • Related Report
      2013 Final Research Report
  • [Presentation] Towards Understanding Robustness of Dynamics and Function in Neural Networks2012

    • Author(s)
      Gouhei Tanaka
    • Organizer
      The 2nd International Workshop on Brain Inspired Computing
    • Place of Presentation
      筑波
    • Year and Date
      2012-06-04
    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Invited
  • [Presentation] Phase Transitions in Complex Networks Composed of Excitable and Oscillatory Elements2012

    • Author(s)
      Kai Morino, Gouhei Tanaka, Kazuyuki Aihara
    • Organizer
      The 2nd International Symposium on Innovative Mathematical Modelling
    • Place of Presentation
      Tokyo
    • Related Report
      2012 Research-status Report
  • [Presentation] Dynamical robustness in synaptically coupled neuronal networks2012

    • Author(s)
      Gouhei Tanaka, Kai Morino, Kazuyuki Aihara
    • Organizer
      International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Mallorca (Spain)
    • Related Report
      2012 Research-status Report
  • [Presentation] Robustness and fragility of dynamics on complex networks2012

    • Author(s)
      Gouhei Tanaka
    • Organizer
      International Conference on Towards Mathematical Foundations of Complex Network Theory
    • Place of Presentation
      Kyoto
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Clustering in complex networks of coupled excitable and oscillatory phase oscillators2012

    • Author(s)
      Kai Morino, Gouhei Tanaka, Kazuyuki Aihara
    • Organizer
      International Conference on Towards Mathematical Foundations of Complex Network Theory
    • Place of Presentation
      Kyoto
    • Related Report
      2012 Research-status Report
  • [Presentation] Epidemic Spreading in Heterogeneous Metapopulation Networks Composed of High-risk and Low-risk Patches2012

    • Author(s)
      Gouhei Tanaka, Chiyori Urabe, Kazuyuki Aihara
    • Organizer
      Workshop of Epidemics on Networks: Current Trends and Challenges
    • Place of Presentation
      Girona (Spain)
    • Related Report
      2012 Research-status Report
  • [Presentation] Dynamical Robustness in Complex Networks of Heterogeneous Oscillators2012

    • Author(s)
      Gouhei Tanaka, Kai Morino, Kazuyuki Aihara
    • Organizer
      The 2nd International Symposium on Innovative Mathematical Modelling
    • Place of Presentation
      Tokyo
    • Related Report
      2012 Research-status Report
  • [Presentation] 生命ネットワークにおける動的ロバスト性の数理的解析2012

    • Author(s)
      田中剛平, 森野佳生, 合原一幸
    • Organizer
      日本生物物理学会第50回年会
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 環境不均一性を考慮したメタポピュレーションネットワークにおける感染症伝播2012

    • Author(s)
      田中剛平, 占部千由, 合原一幸
    • Organizer
      日本数理生物学会第22回大会
    • Place of Presentation
      岡山大学
    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

      http://www.sat.t.u-tokyo.ac.jp/~gouhei/

    • Related Report
      2013 Final Research Report
  • [Patent(Industrial Property Rights)] 感染症対策プログラム、感染症対策装置および感染症対策方法2013

    • Inventor(s)
      合原一幸,田 中剛平,占部千由
    • Industrial Property Rights Holder
      合原一幸,田 中剛平,占部千由
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2013-169914
    • Filing Date
      2013-08-19
    • Related Report
      2013 Final Research Report
  • [Patent(Industrial Property Rights)] 感染症対策プログラム、感染症対策装置および感染症対策方法2013

    • Inventor(s)
      合原一幸、田中剛平、占部千由
    • Industrial Property Rights Holder
      合原一幸、田中剛平、占部千由
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2013-169914
    • Filing Date
      2013-08-19
    • Related Report
      2013 Annual Research Report

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Published: 2013-05-31   Modified: 2019-07-29  

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