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Synchronization of spatially distributed oscillators

Research Project

Project/Area Number 24651184
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Social systems engineering/Safety system
Research InstitutionTokyo Institute of Technology

Principal Investigator

TANAKA Takuma  東京工業大学, 総合理工学研究科(研究院), 助教 (40526224)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords位相振動子 / 力学系 / 集団運動 / 非線形振動子 / 蔵本モデル / 通信 / 同期 / 反応拡散系 / クロック同期
Outline of Final Research Achievements

Although I initially investigated a method to synchronize spatially distributed oscillators, it was found to be difficult to implement this method in real systems. Thus, I next attempted to develop an analytically tractable model of mutually interacting particles. The model consists of mutually interacting particles on an M-dimensional unit sphere. Particles rotate on the sphere when no force is exerted on them and are attracted to each other. I found that the motion of the center of mass of an infinite number of particles can be described by an M-dimensional ordinary differential equation even if particles have different speeds of rotation.

Report

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

    (5 results)

All 2015 2014 2013 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Acknowledgement Compliant: 2 results) Presentation (1 results) Remarks (1 results)

  • [Journal Article] Invariant Multiparameter Sensitivity to Characterize Dynamical Systems on Complex Networks2015

    • Author(s)
      Kenzaburo Fujiwara, Takuma Tanaka, and Kiyohiko Nakamura
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 84 Issue: 2 Pages: 024002-024002

    • DOI

      10.7566/jpsj.84.024002

    • NAID

      40020360630

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Invariant Multiparameter Sensitivity of Oscillator Network2014

    • Author(s)
      Kenzaburo Fujiwara, Takuma Tanaka, and Kiyohiko Nakamura
    • Journal Title

      ICONIP 2014, Part I, LNCS

      Volume: 8834 Pages: 183-190

    • DOI

      10.1007/978-3-319-12637-1_23

    • ISBN
      9783319126364, 9783319126371
    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Solvable model of the collective motion of heterogeneous particles interacting on a sphere2014

    • Author(s)
      Takuma Tanaka
    • Journal Title

      New Journal of Physics

      Volume: 16 Issue: 2 Pages: 23016-23016

    • DOI

      10.1088/1367-2630/16/2/023016

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 球面上で相互作用する粒子の集団運動2013

    • Author(s)
      田中琢真
    • Organizer
      日本物理学会
    • Place of Presentation
      徳島大学
    • Related Report
      2013 Research-status Report
  • [Remarks] 研究紹介

    • URL

      http://www.brn.dis.titech.ac.jp/~ttakuma/research.html

    • Related Report
      2012 Research-status Report

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

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