RECOGNITION OF TRANSITION PATTERNS IN A BUSINESS CYCLE MODEL USING UNSTABLE PERIODIC ORBITS-Reference-Cited by-同舟云学术

RECOGNITION OF TRANSITION PATTERNS IN A BUSINESS CYCLE MODEL USING UNSTABLE PERIODIC ORBITS

Published:2011-04 Issue:04 Volume:21 Page:1203-1214
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SAIKI YOSHITAKA¹,ISHIYAMA KEN-ICHI²

Affiliation:

1. Department of Mathematics, Hokkaido University, 060-0810 Sapporo, Japan

2. Faculty of Political Science and Economics, Kokushikan University, 154-8515 Tokyo, Japan

Abstract

More than a thousand unstable periodic orbits with relatively low periods are identified from a continuous dynamical system which represents business cycles of two countries with different fiscal policies. Patterns of regimes and regime transitions are clearly recognized by using the detected periodic orbits. Both regimes and regime transitions are essential structures in chaotic business fluctuations generated by interactive behavior among workers, entrepreneurs and governments.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127411028945

Reference24 articles.

1. A computer algorithm to determine the steady-state response of nonlinear oscillators

2. Exploring chaotic motion through periodic orbits

3. Topological entropy and Axiom A

4. Recurrence plots and unstable periodic orbits

5. Attractor merging crisis in chaotic business cycles

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Predicting the unstable period-1 orbit (UPO-1) of DC–DC converters by extracting harmonic content;COMPEL - The international journal for computation and mathematics in electrical and electronic engineering;2018-03-05

2. Economic intermittency in a two-country model of business cycles coupled by investment;Chaos, Solitons & Fractals;2011-06

3. EDITORIAL;International Journal of Bifurcation and Chaos;2011-04