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Co-evolution of a network and the dynamical processes occurring on it

Research Project

Project/Area Number 24740266
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKagawa University

Principal Investigator

Aoki Takaaki  香川大学, 教育学部, 准教授 (30553284)

Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsネットワーク科学 / Adaptive network / complex network / adaptive network / complex nework / temporal network / 複雑ネットワーク / ネットワークの力学モデル / 自己組織化 / ネットワークの動的構造 / 反応拡散系 / ネットワーク / 複雑系
Outline of Final Research Achievements

Real-world networks are not static, but continuously change to meet the evolving needs of society. To know where the networks will change, we need to understand the nature of changing networks, in which the reformation of the networks and the dynamical processes occurring on the network are interdependent. To understand the mechanisms governing such dynamical organization, we proposed a simple model of co-evolving network dynamics, combining the dynamics of random walkers and the dynamics of the weighted network. We found that under suitable conditions, the density of walkers and the link weights converge to stationary power-law distributions at the macroscopic level, but they continue to change with time at the microscopic level, even though the dynamics of the proposed model is completely deterministic. We numerically and theoretically analyzed the equilibrium states from perspective of the dynamical system and found that the system has multi-stability including chaotic states.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (51 results)

All 2016 2015 2014 2013 2012 Other

All Int'l Joint Research (2 results) Journal Article (8 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 7 results,  Open Access: 2 results,  Acknowledgement Compliant: 5 results) Presentation (38 results) (of which Int'l Joint Research: 10 results,  Invited: 13 results) Remarks (3 results)

  • [Int'l Joint Research] University of Naples Federico II/University of Bristol(イタリア,イギリス)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] University of Namur/University of Bristol(ベルギー,イギリス)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Temporal and structural heterogeneities emerging in adaptive temporal networks2016

    • Author(s)
      Takaaki Aoki, Luis E. C. Rocha, and Thilo Gross
    • Journal Title

      Physical Review E

      Volume: 93 Issue: 4

    • DOI

      10.1103/physreve.93.040301

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Heterogeneity induces emergent functional networks for synchronization2015

    • Author(s)
      Francesco Scafuti, Takaaki Aoki, and Mario di Bernardo
    • Journal Title

      Physical Review E

      Volume: 91 Issue: 6 Pages: 062913-062913

    • DOI

      10.1103/physreve.91.062913

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Self-organization of complex networks as a dynamical system2015

    • Author(s)
      Takaaki AOKI, Koichiro YAWATA and Toshio AOYAGI
    • Journal Title

      Physical Review E

      Volume: 91 Issue: 1 Pages: 012908-012908

    • DOI

      10.1103/physreve.91.012908

    • NAID

      120005672538

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Hodge-Kodaira Decomposition of Evolving Neural Networks2015

    • Author(s)
      Keiji Miura, Takaaki Aoki
    • Journal Title

      Neural Networks

      Volume: 62 Pages: 20-24

    • DOI

      10.1016/j.neunet.2014.05.021

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Self-organization of a recurrent network under ongoing synaptic plasticity2015

    • Author(s)
      Takaaki AOKI
    • Journal Title

      Neural Networks

      Volume: 62 Pages: 11-19

    • DOI

      10.1016/j.neunet.2014.05.024

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Organization of Adaptive Networks as a Dynamical System2014

    • Author(s)
      青木高明
    • Journal Title

      The Brain & Neural Networks

      Volume: 21 Issue: 4 Pages: 155-161

    • DOI

      10.3902/jnns.21.155

    • NAID

      130004849852

    • ISSN
      1340-766X, 1883-0455
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] トラフィックダイナミクスに基づくネットワーク自己組織化2013

    • Author(s)
      青木高明
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: 113 Pages: 143-146

    • Related Report
      2013 Research-status Report
  • [Journal Article] Scale-Free Structures Emerging from Co-evolution of a Network and the Distribution of a Diffusive Resource on it2012

    • Author(s)
      T. Aoki, T. Aoyagi
    • Journal Title

      Physical review letters

      Volume: Vol.109(20) Issue: 20 Pages: 208702-208702

    • DOI

      10.1103/physrevlett.109.208702

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Self-Organization of Temporal Network2015

    • Author(s)
      Takaaki Aoki, Luis E C Rocha, Thilo Gross
    • Organizer
      International Symposium on Nonlinear Theory and its Applications (NOLTA2015)
    • Place of Presentation
      HongKong, China
    • Year and Date
      2015-12-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A model of adaptive temporal networks2015

    • Author(s)
      Takaaki Aoki
    • Organizer
      The 3rd East Asia Joint Seminar on Statistical Physics
    • Place of Presentation
      Korea Institute of Advanced Study (KIAS), Seoul, Korea
    • Year and Date
      2015-10-15
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hodge-Kodaira Decomposition of Evolving Neural Networks2015

    • Author(s)
      Keiji Miura and Takaaki Aoki
    • Organizer
      The 4th IFAC Conference on Analysis and Control of Chaotic Systems
    • Place of Presentation
      Tokyo Metropolitan Univ. , Tokyo
    • Year and Date
      2015-08-28
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Network organization as a dynamical system2015

    • Author(s)
      Takaaki Aoki
    • Organizer
      The 4th IFAC Conference on Analysis and Control of Chaotic Systems
    • Place of Presentation
      Tokyo Metropolitan Univ. , Tokyo
    • Year and Date
      2015-08-28
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An evolutionary strategy for network control and synchronization with application to neural systems2015

    • Author(s)
      rancesco Scafuti, Takaaki Aoki, and Mario di Bernardo
    • Organizer
      The 4th IFAC Conference on Analysis and Control of Chaotic Systems
    • Place of Presentation
      Tokyo Metropolitan Univ. , Tokyo
    • Year and Date
      2015-08-28
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Scaling of Hodge-Kodaira decomposition distinguishes learning rules of neural networks2015

    • Author(s)
      Keiji Miura and Takaaki Aoki
    • Organizer
      The 8th International congress on Industrial and Applied mathematics
    • Place of Presentation
      China National Convention Center, Beijing, China
    • Year and Date
      2015-08-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Network organization as a dynamical system2015

    • Author(s)
      Takaaki Aoki
    • Organizer
      The 8th International congress on Industrial and Applied mathematics
    • Place of Presentation
      China National Convention Center, Beijing, China
    • Year and Date
      2015-08-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Evolution of heterogeneous networks of oscillators for network control and synchronization2015

    • Author(s)
      Takaaki Aoki, Francesco Scafuti, Mario di Bernardo
    • Organizer
      Dynamics of Coupled Oscillators: 40 years of the Kuramoto Model
    • Place of Presentation
      Max Planck Institute for the Physics of Complex Systems, Dresden, Germany
    • Year and Date
      2015-07-28
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Two kinds of heterogeneities emerging in adaptive temporal networks2015

    • Author(s)
      Takaaki Aoki, Luis E. C. Rocha, and Thilo Gross
    • Organizer
      Netsci 2015 (International school and conference on network science)
    • Place of Presentation
      World Trade Center, Zaragoza, Spain
    • Year and Date
      2015-06-04
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Heterogeneities in temporal networks emerging from adaptive social interactions2015

    • Author(s)
      Takaaki Aoki, Luis E. C. Rocha, and Thilo Gross
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort, Snowbird, USA
    • Year and Date
      2015-05-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 適応的テンポラルネットワークモデルによるバースト現象の説明2015

    • Author(s)
      青木高明
    • Organizer
      日本物理学会 第70回年次大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-03-21
    • Related Report
      2014 Research-status Report
  • [Presentation] 適応的テンポラルネットワークモデルによるバースト現象の説明2015

    • Author(s)
      青木高明
    • Organizer
      北陸応用数理研究会2015
    • Place of Presentation
      金沢大学サテライトプラザ
    • Year and Date
      2015-02-21
    • Related Report
      2014 Research-status Report
  • [Presentation] Hodge-Kodaira Decomposition of Evolving Neural Networks2015

    • Author(s)
      Keiji Miura, Takaaki Aoki
    • Organizer
      International Workshop on "Topics in Differential Geometry and its Discretizations"
    • Place of Presentation
      Tohoku University, Sendai, Japan
    • Year and Date
      2015-01-18
    • Related Report
      2014 Research-status Report
  • [Presentation] 時間発展するネットワークのHodge-小平分解による構造解析2014

    • Author(s)
      三浦佳二, 青木高明
    • Organizer
      2014年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学瀬田キャンパス
    • Year and Date
      2014-12-18
    • Related Report
      2014 Research-status Report
  • [Presentation] Organization of adaptive networks as a dynamical system2014

    • Author(s)
      Takaaki Aoki
    • Organizer
      NetCon@ECCS'14
    • Place of Presentation
      Lucca, Italy
    • Year and Date
      2014-09-25
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Heterogenous cluster formation in the activity-dependent time-varying network2014

    • Author(s)
      Takaaki Aoki
    • Organizer
      International Symposium on Nonlinear Theory and its Applications(NOLTA) 2014
    • Place of Presentation
      Luzern, Switzerland
    • Year and Date
      2014-09-18
    • Related Report
      2014 Research-status Report
  • [Presentation] テンポラルネットワークにおけるリソース拡散とその共変化過程2014

    • Author(s)
      Takaaki Aoki
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] ネットワーク上の資源拡散に伴ってスケールフリー構造が形成される力学モデル2014

    • Author(s)
      小松啓太, 青木高明, 根本幸児
    • Organizer
      日本物理学会秋季大会
    • Place of Presentation
      中部大学
    • Year and Date
      2014-09-08
    • Related Report
      2014 Research-status Report
  • [Presentation] Adaptive networksに基づくネットワーク構造の自己組織化2014

    • Author(s)
      青木高明
    • Organizer
      COMPLEX NETWORKS SUMMER SCHOOL 2014
    • Place of Presentation
      Tohoku University
    • Year and Date
      2014-08-20
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] The co-evolving dynamics of the temporally changing network and the diffusion dynamics of a resource2014

    • Author(s)
      Koichiro Yawata, Takaaki Aoki, Toshio Aoyagi
    • Organizer
      Joint Annual Meeting of the Japanese Society for Mathematical Biology and the Society for Mathematical Biology
    • Place of Presentation
      Osaka International Convention Center
    • Year and Date
      2014-07-29
    • Related Report
      2014 Research-status Report
  • [Presentation] Adaptive network of coupled phase oscillators by synaptic plasticity2014

    • Author(s)
      Takaaki Aoki
    • Organizer
      Bristol-Kyoto workshop on stability and control of bi-pedal locamotion
    • Place of Presentation
      University of Bristol
    • Year and Date
      2014-07-08
    • Related Report
      2014 Research-status Report
  • [Presentation] Dynamic Network Organization Based on Co-Evolving Dynamics Between Resources on Nodes and Weighted Connections2014

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Organizer
      NetSci 2014
    • Place of Presentation
      Berkeley, California
    • Year and Date
      2014-06-05
    • Related Report
      2014 Research-status Report
  • [Presentation] 動的に変化するネットワークにおける平衡状態の安定性2014

    • Author(s)
      青木高明,八幡晃一郎,青柳富誌生
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学 湘南キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Organization of complex networks as a dynamical system2014

    • Author(s)
      Takaaki Aoki
    • Organizer
      RIMS Conference on New Directions in Applied Dynamical Systems & The 6th CREST-SBM International Conference
    • Place of Presentation
      Kyoto University
    • Related Report
      2013 Research-status Report
  • [Presentation] Self-Organized Network Structure Emerging from Co-Evolving Dynamics Between Resources on Nodes and Weighted Connections2013

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Organizer
      Network Frontier Workshop 2013
    • Place of Presentation
      Northwestern University Evanston, IL
    • Related Report
      2013 Research-status Report
  • [Presentation] トラフィックダイナミクスに基づくネットワーク自己組織化2013

    • Author(s)
      青木高明
    • Organizer
      電子情報通信学会 非線形問題研究会
    • Place of Presentation
      サンポートホール高松
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 動的に変化するネットワーク上における資源拡散系のべき分布の発生とミクロの非定常性2013

    • Author(s)
      八幡晃一郎,青木高明, 青柳富誌生
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Research-status Report
  • [Presentation] ネットワーク上のリソース分布と構造との相互作用系における平衡状態の解析2013

    • Author(s)
      青木高明, 八幡晃一郎, 青柳富誌生
    • Organizer
      静岡大学浜松キャンパス
    • Place of Presentation
      静岡大学浜松キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Equilibrium state of an adaptive network depending on diffusion dynamics of a resource2013

    • Author(s)
      Takaaki Aoki, Koichiro Yawata, Toshio Aoyagi
    • Organizer
      International Workshop on Phase Transition, Critical Phenomena and Related Topics in Complex Networks
    • Place of Presentation
      Hokkaido University
    • Related Report
      2013 Research-status Report
  • [Presentation] ネットワーク上の反応拡散系とネットワーク形成の相互作用2013

    • Author(s)
      青木高明
    • Organizer
      2013年度第1回電子情報通信学会複雑コミュニケーションサイエンス時限研究会
    • Place of Presentation
      立命館大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Self-Organized Network Structure by Co-Evolving Dynamics Between Reaction-Diffusive Resources on Nodes and Weighted Connections2013

    • Author(s)
      Takaaki Aoki and Toshio Aoyagi
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird Ski and Summer Resort, Snowbird
    • Related Report
      2013 Research-status Report
  • [Presentation] 動的なネットワーク上の反応拡散系におけるミクロな非定常性2013

    • Author(s)
      八幡晃一郎, 青木高明,青柳富誌生
    • Organizer
      日本物理学会 第68回年次大会
    • Place of Presentation
      広島大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 変化するネットワーク上の結合力学系のダイナミクス,2012

    • Author(s)
      青柳富誌生, 青木高明
    • Organizer
      第50回自律分散システム部会研究会
    • Place of Presentation
      京都大学吉田キャンパス 百周年時計台記念館
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] ネットワークとしてのシナプス可塑性の解明 : 結合振動子系からのアプローチ2012

    • Author(s)
      青木高明
    • Organizer
      第5回生命科学者のための使える数学セミナー
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] ネットワークとしてのシナプス可塑性の解明 : 結合振動子系からのアプローチ2012

    • Author(s)
      青木高明
    • Organizer
      東工大脳研究会講演会
    • Place of Presentation
      東工大
    • Related Report
      2012 Research-status Report
  • [Presentation] 反応拡散系ダイナミクスに基づくネットワーク構造の形成過程2012

    • Author(s)
      青木高明
    • Organizer
      CMRU研究会"ネットワーク科学の数理と展開"
    • Place of Presentation
      東北大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 反応拡散系ダイナミクスに基づくネットワーク構造の形成過程2012

    • Author(s)
      青木高明,青柳富誌生
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Co-evolving Network Dynamics between Reaction-Diffusive Resources on Nodes and Weighted Connections2012

    • Author(s)
      Takaaki Aoki, Toshio Aoyagi
    • Organizer
      2012 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Palma, Majorca, Spain
    • Related Report
      2012 Research-status Report
  • [Remarks] Adaptive network: ネットワーク構造とダイナミクスとの相互作用

    • URL

      http://www.ed.kagawa-u.ac.jp/~aoki/Research.htm

    • Related Report
      2015 Annual Research Report 2014 Research-status Report
  • [Remarks] Adaptive network: ネットワーク構造とダイナミクスとの相互作用

    • URL

      http://www.ed.kagawa-u.ac.jp/~aoki/Research.htm

    • Related Report
      2013 Research-status Report
  • [Remarks] 研究論文(1)について,編集者が作成した紹介文

    • URL

      http://physics.aps.org/synopsis-for/10.1103/PhysRevLett.109.208702

    • Related Report
      2012 Research-status Report

URL: 

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

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