Li–Yorke chaos on one-dimensional map lattices
Abstract In this paper, we consider a special, but important class of one-dimensional coupled map lattices, namely, in which the local dynamics including logistic map as a prototype possesses a snap-back repeller. For smaller coupling strengths, the existence of Li–Yorke scrambled set is proved.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-019-1962-2 |
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doaj-123f33ac3fb04cacb5d2cb6e6c751323 |
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Article |
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doaj-123f33ac3fb04cacb5d2cb6e6c7513232020-11-25T02:04:33ZengSpringerOpenAdvances in Difference Equations1687-18472019-05-01201911610.1186/s13662-019-1962-2Li–Yorke chaos on one-dimensional map latticesLili Wei0Chenxing Zhou1College of Mathematics, Changchun Normal UniversityCollege of Mathematics, Changchun Normal UniversityAbstract In this paper, we consider a special, but important class of one-dimensional coupled map lattices, namely, in which the local dynamics including logistic map as a prototype possesses a snap-back repeller. For smaller coupling strengths, the existence of Li–Yorke scrambled set is proved.http://link.springer.com/article/10.1186/s13662-019-1962-2ChaosLogistic mapSnap-back repeller |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lili Wei Chenxing Zhou |
| spellingShingle |
Lili Wei Chenxing Zhou Li–Yorke chaos on one-dimensional map lattices Advances in Difference Equations Chaos Logistic map Snap-back repeller |
| author_facet |
Lili Wei Chenxing Zhou |
| author_sort |
Lili Wei |
| title |
Li–Yorke chaos on one-dimensional map lattices |
| title_short |
Li–Yorke chaos on one-dimensional map lattices |
| title_full |
Li–Yorke chaos on one-dimensional map lattices |
| title_fullStr |
Li–Yorke chaos on one-dimensional map lattices |
| title_full_unstemmed |
Li–Yorke chaos on one-dimensional map lattices |
| title_sort |
li–yorke chaos on one-dimensional map lattices |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2019-05-01 |
| description |
Abstract In this paper, we consider a special, but important class of one-dimensional coupled map lattices, namely, in which the local dynamics including logistic map as a prototype possesses a snap-back repeller. For smaller coupling strengths, the existence of Li–Yorke scrambled set is proved. |
| topic |
Chaos Logistic map Snap-back repeller |
| url |
http://link.springer.com/article/10.1186/s13662-019-1962-2 |
| work_keys_str_mv |
AT liliwei liyorkechaosononedimensionalmaplattices AT chenxingzhou liyorkechaosononedimensionalmaplattices |
| _version_ |
1724942558402969600 |