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Realization of True Orbit Computation Using Integer Arithmetic

Research Project

Project/Area Number 21700256
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Sensitivity informatics/Soft computing
Research InstitutionFuture University-Hakodate

Principal Investigator

SAITO Asaki  Future University-Hakodate, システム情報科学部, 准教授 (60344040)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsカオス / シミュレーション
Research Abstract

Computer simulation is not only indispensable for the development of modern science, but also widely used in many areas, for example, for developing industrial products, forecasting weather as well as predicting natural disasters. In this study, we developed a new method that allows us to perform accurate simulations. The novelty of this method is that it incorporates integer arithmetic, to avoid numerical errors. Moreover, we applied this method to simulations of simple physical systems, and verified the validity of the method.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (13 results)

All 2011 2010 2009 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (11 results)

  • [Journal Article] Dynamical Singularities in Adaptive Delayed-Feedback Control

    • Author(s)
      Asaki Saito, Keiji Konishi
    • Journal Title

      Physical Review E (掲載決定)

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamical Singularities in Adaptive Delayed-Feedback Control

    • Author(s)
      Asaki Saito, Keiji Konishi
    • Journal Title

      Physical Review E

      Volume: (accepted)

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 離散時間力学系の真軌道生成2011

    • Author(s)
      斉藤朝輝
    • Organizer
      CC-Seminar2010
    • Place of Presentation
      京都産業大学(京都府)
    • Year and Date
      2011-03-04
    • Related Report
      2010 Final Research Report
  • [Presentation] 離散時間力学系の真軌道生成2011

    • Author(s)
      斉藤朝輝
    • Organizer
      CC-Seminar 2010
    • Place of Presentation
      京都産業大学(京都府)
    • Year and Date
      2011-03-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] 真軌道生成法のNoise-Induced Order現象への応用2011

    • Author(s)
      斉藤朝輝
    • Organizer
      Workshop数論とエルゴード理論
    • Place of Presentation
      金沢大学(石川県)
    • Year and Date
      2011-02-19
    • Related Report
      2010 Final Research Report
  • [Presentation] 真軌道生成法のNoise-Induced Order現象への応用2011

    • Author(s)
      斉藤朝輝
    • Organizer
      Workshop「数論とエルゴード理論」
    • Place of Presentation
      金沢大学(石川県)
    • Year and Date
      2011-02-19
    • Related Report
      2010 Annual Research Report
  • [Presentation] True Orbit Computation Using Integer Arithmetic2011

    • Author(s)
      Asaki Saito, Shunji Ito
    • Organizer
      International Conference "Far-From-Equilibrium Dynamics 2011"
    • Place of Presentation
      京都大学(京都府)
    • Year and Date
      2011-01-06
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 真軌道生成法のNoise-Induced Order現象への応用2010

    • Author(s)
      斉藤朝輝
    • Organizer
      Kagoshima Workshop on Nonlinear & Nonequilibrium Dynamics
    • Place of Presentation
      鹿児島大学(鹿児島県)
    • Year and Date
      2010-10-17
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 整数演算に基づくカオス写像の真軌道生成2010

    • Author(s)
      斉藤朝輝、伊藤俊次
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学(大阪府)
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Realization of True Orbit Simulation Using Integer Arithmetic2010

    • Author(s)
      Asaki Saito, Shunji Ito
    • Organizer
      International Workshop "Emerging Topics in Nonlinear Science"
    • Place of Presentation
      Schloss Goldrain, Italy
    • Year and Date
      2010-09-14
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Experimental study on halting sets defined by a decision procedure2010

    • Author(s)
      Asaki Saito
    • Organizer
      Workshop "Computability of discontinuous functions and related topics 09-2"
    • Place of Presentation
      京都産業大学(京都府)
    • Year and Date
      2010-01-08
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] Computation of true chaotic orbits using cubic surds2009

    • Author(s)
      Asaki Saito, Shunji Ito
    • Organizer
      Workshop "Computability of discontinuous functions and related topics 09-1"
    • Place of Presentation
      京都産業大学(京都府)
    • Year and Date
      2009-12-18
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] 3次無理数を用いたカオス真軌道の計算2009

    • Author(s)
      斉藤朝輝、伊藤俊次
    • Organizer
      日本物理学会2009年秋季大会
    • Place of Presentation
      熊本大学(熊本県)
    • Year and Date
      2009-09-26
    • Related Report
      2010 Final Research Report 2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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