| ID | 116702 |
| Author |
Miino, Yuu
Tokyo University of Technology
Ueta, Tetsushi
Tokushima University
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| Keywords | homoclinic bifurcation
logistic map
global bifurcation
Feigenbaum constants
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| Content Type |
Journal Article
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| Description | 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.
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| Journal Title |
Nonlinear Theory and Its Applications, IEICE
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| ISSN | 21854106
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| Publisher | The Institute of Electronics, Information and Communication Engineers
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| Volume | 13
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| Issue | 2
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| Start Page | 209
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| End Page | 214
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| Published Date | 2022-04-01
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| Rights | ©IEICE 2022
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| EDB ID | |
| DOI (Published Version) | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
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| TextVersion |
Publisher
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| departments |
Center for Administration of Information Technology
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