日本流体力学会誌「ながれ」
Online ISSN : 2185-4912
Print ISSN : 0286-3154
ISSN-L : 0286-3154
カオスの一つの数値実験
単振り子の場合
肥田 金三
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ジャーナル フリー

1987 年 6 巻 4 号 p. 359-366

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抄録
Numerical experiment on breakdown of KAM tori is carried out for the motion of a simple pendulum.
As a time step of the difference equation increases, integral curve in the phase plane for a certain fixed initial value deviates from the exact solution until it diverges.
Whole curve of a periodic solution is mapped into a rather curious figure with a few blank regions, before it diverges for larger time steps.
Comparison with the simple harmonic motion as well as the effect of a resistance term on torus are also shown.
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© 社団法人日本流体力学会誌
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