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

应用复杂Logistic方程构建非线性经济动力学

• 批准号: 19530261
• 负责人: NISHIGAKI Yasuyuki
• 金额: $ 2.66万
• 依托单位: Ryukoku University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2007
• 资助国家: 日本
• 起止时间: 2007 至 2009
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19530261/
• 关键词: 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

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.

本课题研究了复Logistic方程的全局结构，并利用其结果研究了经济时间序列内在的复杂动态，试图改进非线性经济动态模型和时间序列实证分析。运用复逻辑斯谛方程，重点研究了“新S曲线”理论的构建、新非线性经济动态模型的构建及其政策含义的研究、n维极限环在非线性经济动态模型中的应用及其政策含义的研究、基于复逻辑斯谛方程的实证研究。

项目成果

Transversality of linear distributions with spheres in the complex space

复空间中球体线性分布的横截性

• 期刊: mimeo. (投稿中)
• 作者: T. Ito;B. Scardua;Y. Yamagishi
• 通讯作者: Y. Yamagishi

A Complex Knowledge Base System and Its Applications

复杂知识库系统及其应用

• 发表时间: 2008
• 作者: Y. Nishigaki;H. Nishimoto;H. Terada
• 通讯作者: H. Terada

Market discipline and bank efficiency

市场纪律与银行效率

• 发表时间: 2009
• 期刊: Journal of International Financial Markets, Institutions & Money Vol.19
• 作者: H.Uchida;M.Satake
• 通讯作者: M.Satake

A Nonlinear Approach to Japanese Business Cycles

日本经济周期的非线性方法

• 发表时间: 2007
• 期刊: Global Business and Finance Review Vol.12,No.3
• 作者: Y.Nishigaki;Y.Ikeda and M.Satake
• 通讯作者: Y.Ikeda and M.Satake

Morse type holomorphic transverse to spheres

莫尔斯型全纯横切球面

• 发表时间: 2008
• 作者: Satake;M.;D. Maki;Y. Nishigaki;Toshikazu Ito
• 通讯作者: Toshikazu Ito