2022年4月
Homoclinic bifurcation analysis for logistic map
Nonlinear Theory and Its Applications, IEICE
- ,
- 巻
- Vol.E13-N
- 号
- No.2
- 開始ページ
- 209
- 終了ページ
- 214
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1587/nolta.13.209
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 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.
- リンク情報
- ID情報
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- DOI : 10.1587/nolta.13.209
- ISSN : 2185-4106