The Itinerary of the N-Type Map and Its Application
The itinerary computation approach for the N-type map is proposed. Based on this itinerary approach, the topological conjugation between the N-type map and the shift map on the three-symbol space is proven. Additionally, the calculation of periodic points and the demonstration of the chaotic propert...
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MDPI AG
2025-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/7/1159 |
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| author | Ruisong Ye |
| author_facet | Ruisong Ye |
| author_sort | Ruisong Ye |
| collection | DOAJ |
| description | The itinerary computation approach for the N-type map is proposed. Based on this itinerary approach, the topological conjugation between the N-type map and the shift map on the three-symbol space is proven. Additionally, the calculation of periodic points and the demonstration of the chaotic property of the N-type map are presented. As a practical application in the field of image security, two image scrambling encryption algorithms are proposed and implemented. |
| format | Article |
| id | doaj-art-e9b9e22caefb4be4b06b7308c27e72d2 |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-e9b9e22caefb4be4b06b7308c27e72d22025-08-20T02:09:17ZengMDPI AGMathematics2227-73902025-03-01137115910.3390/math13071159The Itinerary of the N-Type Map and Its ApplicationRuisong Ye0Department of Mathematics, Shantou University, Shantou 515821, ChinaThe itinerary computation approach for the N-type map is proposed. Based on this itinerary approach, the topological conjugation between the N-type map and the shift map on the three-symbol space is proven. Additionally, the calculation of periodic points and the demonstration of the chaotic property of the N-type map are presented. As a practical application in the field of image security, two image scrambling encryption algorithms are proposed and implemented.https://www.mdpi.com/2227-7390/13/7/1159N-type mapitinerarychaosimage scrambling encryption |
| spellingShingle | Ruisong Ye The Itinerary of the N-Type Map and Its Application Mathematics N-type map itinerary chaos image scrambling encryption |
| title | The Itinerary of the N-Type Map and Its Application |
| title_full | The Itinerary of the N-Type Map and Its Application |
| title_fullStr | The Itinerary of the N-Type Map and Its Application |
| title_full_unstemmed | The Itinerary of the N-Type Map and Its Application |
| title_short | The Itinerary of the N-Type Map and Its Application |
| title_sort | itinerary of the n type map and its application |
| topic | N-type map itinerary chaos image scrambling encryption |
| url | https://www.mdpi.com/2227-7390/13/7/1159 |
| work_keys_str_mv | AT ruisongye theitineraryofthentypemapanditsapplication AT ruisongye itineraryofthentypemapanditsapplication |