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Understanding Synchronization of Business Cycles Using Wavelet Analysis and Nonlinear Coupled Oscillator Models

Research Project

Project/Area Number 24653050
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Economic theory
Research InstitutionRissho University

Principal Investigator

ONOZAKI Tamotsu  立正大学, 経済学部, 教授 (10233595)

Co-Investigator(Kenkyū-buntansha) SAIKI Yoshitaka  一橋大学大学院, 商学研究科, 准教授 (20433740)
ISHIYAMA Kenichi  国士舘大学, 政経学部, 准教授 (30610133)
Co-Investigator(Renkei-kenkyūsha) YANAGITA Tatsuo  大阪電気通信大学, 工学部, 教授 (80242262)
Project Period (FY) 2012-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywords景気循環 / 同期現象 / 鉱工業生産指数 / ウェーブレット解析 / 結合振動子系 / 大域結合写像モデル / カオス的遍歴 / マクロ経済学 / ウェーブレット / 非線形振動子
Research Abstract

By applying wavelet analysis to Japan's industrial production indices, for all pairs of prefectures, we obtained a matrix of 'distance' to express whether the degree of business-cycle-synchronization was high or low. In addition, by considering a set of prefectures with high synchronization level at each time point as a cluster, and checking the time change of its number, it was observed that the synchronization level became higher in the economic recession period, especially after a bubble burst, than in the upbeat period. This kind of phenomenon that the synchronization level varies with time is robustly observed as 'chaotic itinerancy' in a model of regional business cycles where all regions are homogeneous and connected with each other through producers' expectations. Chaotic itinerancy is complex behavior in high-dimensional dynamical systems, where chaotic trajectories exhibit itinerant motion among many different ordered states.

Report

(3 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report

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

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