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Study of Chaos, Fractals and Wave lets

Research Project

Project/Area Number 05650068
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Engineering fundamentals
Research InstitutionRYUKOKU UNIVERSITY

Principal Investigator

YAMAGUTI Masaya  PROFESSOR,RYUKOKU UNIVERSITY, 理工学部, 教授 (30025796)

Co-Investigator(Kenkyū-buntansha) OKADA Yoshihiro  PROFESSOR,RYUKOKU UNIVERSITY, 理工学部, 教授 (30127063)
IKEDA Tsutomu  PROFESSOR,RYUKOKU UNIVERSITY, 理工学部, 教授 (50151296)
有木 康雄  龍谷大学, 理工学部, 教授 (10135519)
池田 重良  龍谷大学, 理工学部, 教授 (20028070)
中村 宏  龍谷大学, 理工学部, 教授 (90198234)
Project Period (FY) 1993 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1995: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1994: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1993: ¥700,000 (Direct Cost: ¥700,000)
KeywordsCHAOS / Discretization / Difference method / Selforgatized-System / フラクタル / ウェーブレット / 疲労
Research Abstract

Masaya YAMAGUTI obtain some advanced results on chaos arizing from discretization of the ordinary differential equation. Namely, he worked with his student Yo-ichi MAEDA about Euler's discretization of O.D.E.
dx/=f (x). Under some natural condition on f.
They get several condition that assures chaos for sufficiently small DELTAt. This has a big implication on Mathematical Economy.
Tsutomu IKEDA has investigated about some systems of Diffusion and reaction.
Yoshihiro OKADA continued to work on the recognition problem using fractals.

Report

(4 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • 1993 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] M. YAMAGUTI, Y. MAEDA: "On the Discretization of O. D. E." Proceeding of ICAM'95. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 山口昌哉: "カオスと微分方程式-トライボロジーを意識しながら-" トライボロジスト. 40. 555-560 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. IKEDA: "Numerical Simulation for nonlinear oscillation of internal layers" Lecture Notes in Numerical and Applied Analysis. 14. 69-77 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 宮原あゆみ,池田勉: "界面活動における進行する脈動波解" 数理解析研究所講究録. 891. 127-132 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 上羽葵,武田哲也,岡田至弘: "等色線処理によるカラー画像からの文字領域の抽出" 信学技報. PRU94-28. 9-16 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.YAMAGUTI,Y.MAEDA: "On the Discretization of O.D.E." Proceeding of ICAM'95 to appear.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.YAMAGUTI: "An Introduction to Chaos, for Tribologists" Triborogists. 40-7. 555-560 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.YAMAGUTI: "Discrete Models in Social Sciences" Computers Math.Applic.vol.28, No.10-12. 263-267 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.IKEDA: "Numerical simulation for non linear oscillation of internal layrs" Lecture Notes in Num.Appl.Aim. 14. 69-77 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.UEBA,T.Takeda Y.OKADA: "The Extraction of Character Images from Color Images based on Processing of Color Cortour Line" Technical Report of IEICE. PRU94-28. 9-16 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M. YAMAGUTI, Y. MAEDA: "On the Discretization of O. D. E." Proceeding of ICAM' 95. to appear.

    • Related Report
      1995 Annual Research Report
  • [Publications] 山口昌哉: "カオスと微分方程式-トロイボロジーを意識しながら-" トライボロジスト. 40. 555-560 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.IKEDA: "Namerical simulation for nonlinear oscillation of internal layers" Lecture Notes in Numerical and Applied Analysis. 14. 69-77 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 宮原あゆみ,池田勉: "界面活動における進行する脈動波解" 数理解析研究所講究録. 891. 127-132 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 上羽葵,武田哲也,岡田至弘: "等色線処理によるカラー画像からの文字領域の抽出" 信学技報. PRU94-28. 9-16 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] Masaya Yamaguti: "Discrete Models in Social Sciences" Computers and Mathematics with Application. Vol.28,No.10-12. 263-267 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 岡田至弘: "等色線情報に基づくカラー画像の領域分割" 龍谷大学理工学部坂井・岡田研究質研究報文集. 24-49 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 山口昌哉、他: "禅と生命科学 カオスについてP.306-P.330" 紀伊國屋書店, 332 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Masaya Yamagnti: "Discrete Models in Social Sciences" Computers and Mathematics with Application. (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 山口昌哉: "フラクタルの数理" 岩波書店, 98 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 山口昌哉: "フラクタルとカオス" 岩波書店, 296 (1993)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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