The Itinerary of the N-Type Map and Its Application

Ruisong Ye ()
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Ruisong Ye: Department of Mathematics, Shantou University, Shantou 515821, China

Mathematics, 2025, vol. 13, issue 7, 1-16

Abstract: 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.

Keywords: N-type map; itinerary; chaos; image scrambling encryption (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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