書誌事項
- タイトル別名
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- Starting Curve of Rolling Friction and Chaos.
- コロガリ ダシ ヘンイ キョクセン ト カオス
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抄録
The starting curves of rolling friction have been used for study of bifurcation-chaotic characteristics. The curve has the parameters m, A and B, which can change the patterns of the curve. In the case of m=3, the curve is symmetric with respect to a vertical axis, and agrees fundamentally with the logistic equation. For 1<m<3, the peak value of the curve shifts to the left side. On the other hand, for m>3, the peak value shifts to the right side. In the case of m=4, the curve agrees with the equation proposed by Feigenbaum. Thus the equations (curves) shown here are expanded mathematical models which contain the map functions presented previously. The following properties were elucidated after studying simulated results of the bifurcation phenomenon. The vertical distance of bifurcation points decreases uniformly with increase of m. However, the threshold points of bifurcation occur most rapidly in the case of m=2, and move to larger values of A as m increases or decreases. Since parameter m is related to loss energy, it is suggested that the bifurcation phenomena are also closely related to the loss energy of a system.
収録刊行物
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- 日本機械学会論文集C編
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日本機械学会論文集C編 60 (572), 1382-1386, 1994
一般社団法人 日本機械学会
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詳細情報 詳細情報について
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- CRID
- 1390282681306082816
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- NII論文ID
- 130004230523
- 110002381477
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- NII書誌ID
- AN00187463
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- ISSN
- 18848354
- 03875024
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- NDL書誌ID
- 3873070
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
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