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Japanese Contributions to Nonlinear Cycle Theory in the 1950s

Japanese Contributions to Nonlinear Cycle Theory in the 1950s Abstract In the early 1950s pioneering contributions were made to the nonlinear theory of Keynesian macrodynamics by Shinichi Ichimura, Michio Morishima and Takuma Yasui. They were the first to formally investigate the existence, stability and uniqueness of limit cycles in macrodynamics. An attempt is made to place the contributions of this Japanese school of nonlinear trade cycle theorists within the context and development of math-ematical economics in early post-war Japan. As an additional, although minor, exercise, Morishima’s model of the cycle is simplified and generalized to show, using the Andronov-Hopf bifurcation theorem, the existence of a periodic orbit. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Japanese Economic Review Springer Journals

Japanese Contributions to Nonlinear Cycle Theory in the 1950s

The Japanese Economic Review , Volume 59 (1): 21 – Mar 1, 2008

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References (68)

Publisher
Springer Journals
Copyright
2007 Japanese Economic Association
ISSN
1352-4739
eISSN
1468-5876
DOI
10.1111/j.1468-5876.2007.00382.x
Publisher site
See Article on Publisher Site

Abstract

Abstract In the early 1950s pioneering contributions were made to the nonlinear theory of Keynesian macrodynamics by Shinichi Ichimura, Michio Morishima and Takuma Yasui. They were the first to formally investigate the existence, stability and uniqueness of limit cycles in macrodynamics. An attempt is made to place the contributions of this Japanese school of nonlinear trade cycle theorists within the context and development of math-ematical economics in early post-war Japan. As an additional, although minor, exercise, Morishima’s model of the cycle is simplified and generalized to show, using the Andronov-Hopf bifurcation theorem, the existence of a periodic orbit.

Journal

The Japanese Economic ReviewSpringer Journals

Published: Mar 1, 2008

Keywords: economics, general; microeconomics; macroeconomics/monetary economics//financial economics; econometrics; development economics; economic history

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