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ID 116702
著者
美井野, 優 Tokyo University of Technology
キーワード
homoclinic bifurcation
logistic map
global bifurcation
Feigenbaum constants
資料タイプ
学術雑誌論文
抄録
In this study, we have developed the method to obtain the homoclinic bifurcation parameter of an arbitrary targeted fixed point in the logistic map Tr. We have considered the geometrical structure of Tr around x =0.5 and derived the core condition of the bifurcation occurrence. As the result of numerical experiment, we have calculated the exact bifurcation parameter of the fixed point of Trℓ with ℓ≤256. We have also discussed the Feigenbaum constants found in the bifurcation parameter and the fixed point coordinate sequences. This fact implies the local stability of the fixed point and global structure around it are in association via the constants.
掲載誌名
Nonlinear Theory and Its Applications, IEICE
ISSN
21854106
出版者
The Institute of Electronics, Information and Communication Engineers
13
2
開始ページ
209
終了ページ
214
発行日
2022-04-01
権利情報
©IEICE 2022
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言語
eng
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