Yoshisuke Ueda’s

Papers on

Discovery of Chaos

 

 

(The first-published original article and others)

 

 

Akira AIZAWA

 President, International Informatics Institute

 

 

 

English Translation (1) by Scripta Publishing Co.:

“On the Behavior of Self-Oscillatory Systems with External Force”

Electronics & Communication in Japan,

Vol. 53, No. 3, pp. 31-39

March 1970

(with C. Hayashi, N. Akamatsu, and H. Itakura)

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English Translation (2) by Yoshisuke Ueda:

in Yoshisuke Ueda, “The Road to Chaos”

Aerial Press, P. O. Box 1360, Santa Cruz, CA 95061, USA

1992

(now the Second edition is available, revised and enlarged 2001)

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Japanese Original:

“On the Behavior of Self-Oscillatory Systems with External Force” (in Japanese)

Transactions of the Institute of Electronics and Communication Engineers of Japan

Vol. 53-A, No. 3, pp. 150-158

March 1970

(with C. Hayashi, N. Akamatsu, and H. Itakura)

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The Reasons Why Ueda’s Paper Is Important:

1. The Chaos Exhibited by an Analog Computer Is a Natural Phenomenon

Yoshi Ueda’s chaos was discovered by using an analog computer in November 1961.  The chaos exhibited by an analog computer is truly a natural phenomenon, in contrast with those discovered by a digital computer.

  Ed Lorenz used a digital computer and his paper of discovery of chaos was published in 1963.  His simulation computed by a digital computer is not a proof of the fact that Nature is chaotic.

 

2. Ueda Knew the Origin of the Research of Chaos

  Please see the references of Ueda’s paper.  He dug out the origin of chaos theory by himself, that is, Poincare’s paper!  Ueda is an experimentalist, but he knew the theoretical origin of chaos before 1970.

 

  Because of feudalistic atomosphere of Japanese academism, the first author of this extraordinarily important paper is not Ueda himself but his supervising professor, Hayashi.  Hayashi did not believe in chaos throughout his life, and more, he prohibited Ueda’s publication of the discovery of chaos in 1961 till 1970.

 

 

Yoshisuke Ueda’s Second Paper

(English Translation by Scripta Publishing Co.):

“Computer Simulation of Nonlinear Ordinary Differential Equations and Nonperiodic Oscillations”

Electronics & Communication in Japan,

Vol. 56, No. 4, pp. 27-34

April 1973

(with C. Hayashi and N. Akamatsu)

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New Information:  Yoshisuke Ueda Discovered Chaos in Nature in 1961 (April 28, 2003)

 

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