A New Two-Dimensional Map with Hidden Attractors
The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are a few investigations of hidden attractors in discrete-time dynamic systems. The classical chaotic attractors of the Logistic map, Tent map, Henon map, Arnold’s cat map, and other widely-kno...
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MDPI AG
2018-04-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/5/322 |
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doaj-7f8f47441e5649198eaa239404d613db2020-11-24T22:58:21ZengMDPI AGEntropy1099-43002018-04-0120532210.3390/e20050322e20050322A New Two-Dimensional Map with Hidden AttractorsChuanfu Wang0Qun Ding1Electronic Engineering College, Heilongjiang University, Harbin 150080, ChinaElectronic Engineering College, Heilongjiang University, Harbin 150080, ChinaThe investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are a few investigations of hidden attractors in discrete-time dynamic systems. The classical chaotic attractors of the Logistic map, Tent map, Henon map, Arnold’s cat map, and other widely-known chaotic attractors are those excited from unstable fixed points. In this paper, the hidden dynamics of a new two-dimensional map inspired by Arnold’s cat map is investigated, and the existence of fixed points and their stabilities are studied in detail.http://www.mdpi.com/1099-4300/20/5/322hidden attractorsfixed pointstability |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chuanfu Wang Qun Ding |
| spellingShingle |
Chuanfu Wang Qun Ding A New Two-Dimensional Map with Hidden Attractors Entropy hidden attractors fixed point stability |
| author_facet |
Chuanfu Wang Qun Ding |
| author_sort |
Chuanfu Wang |
| title |
A New Two-Dimensional Map with Hidden Attractors |
| title_short |
A New Two-Dimensional Map with Hidden Attractors |
| title_full |
A New Two-Dimensional Map with Hidden Attractors |
| title_fullStr |
A New Two-Dimensional Map with Hidden Attractors |
| title_full_unstemmed |
A New Two-Dimensional Map with Hidden Attractors |
| title_sort |
new two-dimensional map with hidden attractors |
| publisher |
MDPI AG |
| series |
Entropy |
| issn |
1099-4300 |
| publishDate |
2018-04-01 |
| description |
The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are a few investigations of hidden attractors in discrete-time dynamic systems. The classical chaotic attractors of the Logistic map, Tent map, Henon map, Arnold’s cat map, and other widely-known chaotic attractors are those excited from unstable fixed points. In this paper, the hidden dynamics of a new two-dimensional map inspired by Arnold’s cat map is investigated, and the existence of fixed points and their stabilities are studied in detail. |
| topic |
hidden attractors fixed point stability |
| url |
http://www.mdpi.com/1099-4300/20/5/322 |
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| _version_ |
1725647431965605888 |