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Construction of Non-linear Economic Dynamics by Applying Complex Logistic Equation

Research Project

Project/Area Number 19530261
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic policy
Research InstitutionRyukoku University

Principal Investigator

NISHIGAKI Yasuyuki  Ryukoku University, 経済学部, 教授 (20180599)

Co-Investigator(Kenkyū-buntansha) ITO Toshikazu  龍谷大学, 経済学部, 教授 (60110178)
TERADA Hirokuni  龍谷大学, 経済学部, 教授 (40121628)
NISHIMOTO Hideki  龍谷大学, 経済学部, 教授 (70164605)
ARAI Jun  龍谷大学, 経済学部, 講師 (00298738)
SATAKE Mitsuhiko  同志社大学, 経済学部, 教授 (80196203)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords複素ロジスティック方程式 / 複素力学系 / 複雑系経済学 / カオス / 非線形マクロ経済動学 / 新S-カーブ理論
Research Abstract

In this project, we investigated global structure of Complex Logistic Equation and, by utilizing its out-come, we studied the complicated dynamics inherent in the economic time-series and tried to improve non-linear economic dynamic model and time-series empirical analysis. By applying Complex Logistic Equation, focuses of the studies are on 1) construction of the 'new S-curve' theory, 2) construction of the new non-linear economic dynamic model and studies of its policy implications, 3) applications of n-dimension limit cycles to non-linear economic dynamic model and investigation of its policy implications, 4) empirical studies based on complex logistic equation.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (40 results)

All 2010 2009 2008 2007 2000 Other

All Journal Article (28 results) (of which Peer Reviewed: 26 results) Presentation (12 results)

  • [Journal Article] Limit Cycles in Japanese Macroeconomic Data : Policy Implications from the View of Business Cycles2010

    • Author(s)
      M.Satake, D.Maki, Y.Nishigaki
    • Journal Title

      International Journal of Japan Economic Policy Associations forthcoming

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A non-existence theorem for Morse type holomorphic foliations of codimension one transverse to spheres2010

    • Author(s)
      T.Ito, B.Scardua
    • Journal Title

      International Journal of Mathematics Vol.21 No.4

      Pages: 435-452

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The eigenvalues of the(n-1)×(n-1)Hermitian matrix〓of the distance function l between a leaf of L of a holomorphic foliation F(ω)and the origin of Cn, n≧32009

    • Author(s)
      T. Ito
    • Journal Title

      The Ryukoku Journal of Humanities and Sciences Vol.31

      Pages: 71-78

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Theory of Logistic Curve-To explain the Transition of Japanese Economy after World WarII-2009

    • Author(s)
      H. Terada
    • Journal Title

      Ikoma Economic Review(生駒経済論叢) Vol.7

      Pages: 433-447

    • NAID

      120005737004

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Holomorphic Foliations Transverse to Manifolds with Corners2009

    • Author(s)
      T. Ito, B. Scardua
    • Journal Title

      Discrete and Continuous Dynamical Systems Vol.25-2

      Pages: 537-544

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Market discipline and bank efficiency2009

    • Author(s)
      H. Uchida, M. Satake
    • Journal Title

      Journal of International Financial Markets, Institutions & Money Vol.19

      Pages: 792-802

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear Keynesian Dynamics and Chaos2009

    • Author(s)
      H. Terada
    • Journal Title

      Ryukoku Journal of Economic Studies Vol.48

      Pages: 49-62

    • NAID

      110008720711

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Market discipline and bank efficiency2009

    • Author(s)
      H.Uchida, M.Satake
    • Journal Title

      Journal of International Financial Markets, Institutions & Money Vol.19

      Pages: 792-802

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Theory of Logistic Curve-To explain the Transition of Japanese Economy after World War II-2009

    • Author(s)
      H.Terada
    • Journal Title

      Ikoma Economic Review(生駒経済論叢) Vol.7

      Pages: 433-447

    • NAID

      120005737004

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The eigenvalues of the(n-1)×(n-1)Hermitian matrix(∂_21/∂z_i∂z_j)of the distance function 1 between a leaf of L of a holomorphic foliation F(ω)and the origin of C_n,n≧32009

    • Author(s)
      T.Ito
    • Journal Title

      The Ryukoku Journal of Humanities and Sciences Vol.31

      Pages: 71-78

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Limit Cycles in Japanese Macroeconomic Data : Policy Implications from the View of Business Cycles2009

    • Author(s)
      Satake, M., D. Maki, Y. Nishigaki
    • Journal Title

      International Journal of Japan Economic Policy Association (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonlinear Keynesian Dynamics and Chaos2009

    • Author(s)
      Hirokuni Terada
    • Journal Title

      Ryukoku Journal of Econoomic Studies Vol. 48

      Pages: 49-62

    • NAID

      110008720711

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Market Discipline and Bank Efficiency2009

    • Author(s)
      Uchida. H., M. Satake
    • Journal Title

      Journal of International Financial Markets, Institutions & Money (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Poincare-Hopf index theorem for the comolex cases2009

    • Author(s)
      T. Ito, B. Scardua
    • Journal Title

      Open Access Mathematical Journal (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Holomorphic foliations transverse to manifolds with corners2009

    • Author(s)
      T. Ito, B. Scardua
    • Journal Title

      Discrete and Continuous Dynamical Systems (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Poincare-Hopf Index Theorem for the complex case2008

    • Author(s)
      T. Ito, B. Scardua
    • Journal Title

      The Open Mathematics Journal

      Pages: 1-10

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Codimension one holomorphic foliations transverse to spheres2008

    • Author(s)
      T. Ito, B. Scardua
    • Journal Title

      The proceedings of 10th international workshop on real and complex singularities

      Pages: 1-17

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Complex Logistic Knowledge Base System and Its Applications2008

    • Author(s)
      Y. Nishigaki, H. Nishimoto, H. Terada
    • Journal Title

      Proceedings of The 12th World Multi-Conference on Systemics, Cybernetics and Informatics Vol. 4

      Pages: 235-36

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Complex Knowledge Base System and Its Applications2008

    • Author(s)
      Y.Nishigaki, H.Nishimoto and H.Terada
    • Journal Title

      Proceedings of the 4th International Symposium on Management, Engineering and Informatics (Forthcoming)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ボアンカレ=ベンディクソンの定理の非強制ダッフィング振動子への応用2008

    • Author(s)
      寺田 宏洲
    • Journal Title

      龍谷大学経済学論集 (掲載確定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Non-linear Approach to Japanese Business Cycles2007

    • Author(s)
      Y. Nishigaki, T. Satake, Y. Ikeda
    • Journal Title

      Global Business and Finance Review vol.12

      Pages: 41-50

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Nonlinear Approach to Japanese Business Cycles2007

    • Author(s)
      Y.Nishigaki, Y.Ikeda and M.Satake
    • Journal Title

      Global Business and Finance Review Vol.12,No.3

      Pages: 41-50

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-linear Keynesian Dynamics and Chaos:An Application of Rienard's Differential Equation to Economics2007

    • Author(s)
      H.Tbrada
    • Journal Title

      Proceedings of the 10th International Conference of the Society of Global Business and Economic Development Vol.1

      Pages: 839-844

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Holomorphic Foliations Transverse to Manifolds with Corners2000

    • Author(s)
      Ito, B.Scardua
    • Journal Title

      Discrete and Continuous Dynamical Systems Vol.25-2

      Pages: 537-544

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An effective approach of non-linear macro-economic dynamics with Complex Logistic Knowledge Base Systems.

    • Author(s)
      Y. Nishigaki, H. Nishimoto, H. Terada
    • Journal Title

      mimeo. (投稿中)

    • Related Report
      2009 Final Research Report
  • [Journal Article] Transversality of linear distributions with spheres in the complex space

    • Author(s)
      T. Ito, B. Scardua, Y. Yamagishi
    • Journal Title

      mimeo. (投稿中)

    • Related Report
      2009 Final Research Report
  • [Journal Article] A non-existence theorem for Morse type holomorphic foliations of codimension one transverse to spheres

    • Author(s)
      T. Ito, B. Scardua
    • Journal Title

      International Journal of Mathematics, to appear.

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Limit Cycles in Japanese Macroeconomic Data: Policy Implications from the View of Business Cycles

    • Author(s)
      M. Satake, D. Maki, Y. Nishigaki
    • Journal Title

      International Journal of Japan Economic Policy Associations (forthcoming)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Presentation] An effective approach of non-linear macro-economic dynamics with Complex Logistic Knowledge Base Systems2009

    • Author(s)
      Y. Nishigaki, H. Nishimoto, H. Terada
    • Organizer
      2009 Singapore Economic Review Conference
    • Place of Presentation
      Singapore
    • Year and Date
      2009-08-08
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Limit Cycles in Japanese Macroeconomic Data: Policy Implications from the View of Business Cycles2008

    • Author(s)
      Satake, M., D. Maki, Y. Nishigaki
    • Organizer
      The 7th International Conference of the Japan Economic Policy Association
    • Place of Presentation
      Doshisya University, Kyoto, Japan
    • Year and Date
      2008-12-06
    • Related Report
      2009 Final Research Report
  • [Presentation] Limit Cycles in Japanese Macroeconomic Data : Policy Implications from the View of Business Cycles2008

    • Author(s)
      Satake, M., D. Maki, Y. Nishigaki
    • Organizer
      The 7th International Conference of the Japan Economic Policy Association
    • Place of Presentation
      Doshisya University, Kyoto, Japan
    • Year and Date
      2008-12-06
    • Related Report
      2008 Annual Research Report
  • [Presentation] Morse type holomorphic transverse to spheres2008

    • Author(s)
      Toshikazu Ito
    • Organizer
      10th International Workshop on Real and Complex Singularities
    • Place of Presentation
      San Carlos, Brazil
    • Year and Date
      2008-08-23
    • Related Report
      2009 Final Research Report 2008 Annual Research Report
  • [Presentation] A Complex Logistic Knowledge Base System and Its Applications2008

    • Author(s)
      Y. Nishigaki, H. Nishimoto, H. Terada
    • Organizer
      The 12th World Multi-Conference on Systemics, Cybernetics and Informatics
    • Place of Presentation
      Orland. Frolida
    • Year and Date
      2008-07-02
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Complex Knowledge Base System and Its Applications2008

    • Author(s)
      Y. Nishigaki, H. Nishimoto, H. Terada
    • Organizer
      4th International Symposium on Management, Engineering and Informatics
    • Place of Presentation
      Orland, Florida, USA.
    • Related Report
      2009 Final Research Report
  • [Presentation] A Complex Knowledge Base System and Its Applications2008

    • Author(s)
      Y.Nishigaki, H.Nishimoto and H.Terada
    • Organizer
      4th International Symposium on Management, Engineering and Informatics
    • Place of Presentation
      Orland,Florida,USA
    • Related Report
      2007 Annual Research Report
  • [Presentation] A Nonlinear Approach to the Japanese Business Cycles2007

    • Author(s)
      Y.Nishigaki, M.Satake and Y.Ikeda
    • Organizer
      10th International Conference of the Society of Global Business and Econmic Development
    • Place of Presentation
      Ryukoku University,Kyoto,Japan
    • Year and Date
      2007-08-09
    • Related Report
      2007 Annual Research Report
  • [Presentation] Non-linear Keynesian Dynamics and Chaos:An Application of Rineard's Differential Equation to Economics2007

    • Author(s)
      H.Terada
    • Organizer
      10th International Conference of the Society of Global Business and Econmic Development
    • Place of Presentation
      Ryukoku University,Kyoto,Japan
    • Year and Date
      2007-08-09
    • Related Report
      2007 Annual Research Report
  • [Presentation] 電子政府サービス評価のための日本における省庁・自治体のウエブ・アセスメント2007

    • Author(s)
      西本 秀樹
    • Organizer
      日本経営情報学会全国大会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2007-06-17
    • Related Report
      2007 Annual Research Report
  • [Presentation] A Nonlinear Approach to the Japanese Business Cycles2007

    • Author(s)
      Y. Nishigaki, M. Satake, Y. Ikeda
    • Organizer
      10th International Conference of the Society of Global Business and Economic Development
    • Place of Presentation
      Ryukoku University, Kyoto, Japan
    • Related Report
      2009 Final Research Report
  • [Presentation] Non-linear Keynesian Dynamics and Chaos: An Application of Rineard's Differential Equation to Economics2007

    • Author(s)
      H. Terada
    • Organizer
      10th International Conference of the Society of Global Business and Economic Development
    • Place of Presentation
      Ryukoku University, Kyoto, Japan
    • Related Report
      2009 Final Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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