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