Difference in the dynamics of logistic maps.
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| Title: | Difference in the dynamics of logistic maps. |
|---|---|
| Authors: | Song, Tianshu1,2 (AUTHOR), Xia, Hui1 (AUTHOR) hxia@cumt.edu.cn |
| Source: | International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics. 8/10/2019, Vol. 33 Issue 20, pN.PAG-N.PAG. 22p. 20 Graphs. |
| Subjects: | Jigsaw puzzles, Attractors (Mathematics) |
| Abstract: | We investigate the evolution of the difference in the conventional logistic map and observed complicated but interesting dynamics. Our results show that the bifurcation, the attractor and the asymptotic measure depend on initial values. The reverse bifurcation, the multiple bifurcation and other bifurcation properties obtained here are different from those of the original logistic map. Furthermore, we find that attractors form a structure which looks like a jigsaw puzzle, and the corresponding distributions related to the Feigenbaum constant are also analyzed. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 138389799 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Difference in the dynamics of logistic maps. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Song%2C+Tianshu%22">Song, Tianshu</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xia%2C+Hui%22">Xia, Hui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hxia@cumt.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modern+Physics+B%3A+Condensed+Matter+Physics%3B+Statistical+Physics%3B+Applied+Physics%22">International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics</searchLink>. 8/10/2019, Vol. 33 Issue 20, pN.PAG-N.PAG. 22p. 20 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Jigsaw+puzzles%22">Jigsaw puzzles</searchLink><br /><searchLink fieldCode="DE" term="%22Attractors+%28Mathematics%29%22">Attractors (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We investigate the evolution of the difference in the conventional logistic map and observed complicated but interesting dynamics. Our results show that the bifurcation, the attractor and the asymptotic measure depend on initial values. The reverse bifurcation, the multiple bifurcation and other bifurcation properties obtained here are different from those of the original logistic map. Furthermore, we find that attractors form a structure which looks like a jigsaw puzzle, and the corresponding distributions related to the Feigenbaum constant are also analyzed. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217979219502266 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: N.PAG Subjects: – SubjectFull: Jigsaw puzzles Type: general – SubjectFull: Attractors (Mathematics) Type: general Titles: – TitleFull: Difference in the dynamics of logistic maps. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Song, Tianshu – PersonEntity: Name: NameFull: Xia, Hui IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 08 Text: 8/10/2019 Type: published Y: 2019 Identifiers: – Type: issn-print Value: 02179792 Numbering: – Type: volume Value: 33 – Type: issue Value: 20 Titles: – TitleFull: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics Type: main |
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