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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Bibliographic Details
Published in:Mathematics
Main Author: Ruisong Ye
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Subjects:
N-type map
itinerary
chaos
image scrambling encryption
Online Access:https://www.mdpi.com/2227-7390/13/7/1159
Description
Summary: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.
ISSN:2227-7390

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