Chaotic dynamics in a flexible exchange rate system:A study of noise effects

In this paper, we investigate by means of analytical method and numerical simulations the properties of three-dimensional business cycle model, in which foreign exchange rate is flexible and a parameter is fluctuated by noise. The model is a discrete time version of Asada (Journal of Economics, 62,...

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Main Authors: Toichiro Asada, Tetsuya Misawa, Toshio Inaba
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022600000297
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author Toichiro Asada
Tetsuya Misawa
Toshio Inaba
author_facet Toichiro Asada
Tetsuya Misawa
Toshio Inaba
author_sort Toichiro Asada
collection DOAJ
description In this paper, we investigate by means of analytical method and numerical simulations the properties of three-dimensional business cycle model, in which foreign exchange rate is flexible and a parameter is fluctuated by noise. The model is a discrete time version of Asada (Journal of Economics, 62, 239–269,1995)'s continuous time open economy model without noise. We show (1) noise may suppress the burst of flexible foreign exchange rate when its behavior begins to burst as a bifurcation parameter (adjustment speed of the goods market) is increased, (2) the windows of cycles can be broken by noise, and (3) noise may reveal the hidden structures.
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spelling doaj-art-96a87107daca4b7ebedec93742e646b32025-08-20T02:10:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-014430931710.1155/S1026022600000297Chaotic dynamics in a flexible exchange rate system:A study of noise effectsToichiro Asada0Tetsuya Misawa1Toshio Inaba2Faculty of Economics, Chuo University, 742-1, Higashinakano, Hachioji, Tokyo 192-0393, JapanFaculty of Economics, Nagoya City University, Mizuho-cho, Mizuho-ku, Nagoya 467-0001, JapanSchool of Education, Wasada University, 1-6-1, Nishiwaseda, Shinjuku-ku, Tokyo 169-0051, JapanIn this paper, we investigate by means of analytical method and numerical simulations the properties of three-dimensional business cycle model, in which foreign exchange rate is flexible and a parameter is fluctuated by noise. The model is a discrete time version of Asada (Journal of Economics, 62, 239–269,1995)'s continuous time open economy model without noise. We show (1) noise may suppress the burst of flexible foreign exchange rate when its behavior begins to burst as a bifurcation parameter (adjustment speed of the goods market) is increased, (2) the windows of cycles can be broken by noise, and (3) noise may reveal the hidden structures.http://dx.doi.org/10.1155/S1026022600000297Chaotic dynamicsFlexible exchange ratesNoise effectsSmall open economy.
spellingShingle Toichiro Asada
Tetsuya Misawa
Toshio Inaba
Chaotic dynamics in a flexible exchange rate system:A study of noise effects
Discrete Dynamics in Nature and Society
Chaotic dynamics
Flexible exchange rates
Noise effects
Small open economy.
title Chaotic dynamics in a flexible exchange rate system:A study of noise effects
title_full Chaotic dynamics in a flexible exchange rate system:A study of noise effects
title_fullStr Chaotic dynamics in a flexible exchange rate system:A study of noise effects
title_full_unstemmed Chaotic dynamics in a flexible exchange rate system:A study of noise effects
title_short Chaotic dynamics in a flexible exchange rate system:A study of noise effects
title_sort chaotic dynamics in a flexible exchange rate system a study of noise effects
topic Chaotic dynamics
Flexible exchange rates
Noise effects
Small open economy.
url http://dx.doi.org/10.1155/S1026022600000297
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