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The Itinerary of the N-Type Map and Its Application

Author

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  • Ruisong Ye

    (Department of Mathematics, Shantou University, Shantou 515821, China)

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.

Suggested Citation

  • Ruisong Ye, 2025. "The Itinerary of the N-Type Map and Its Application," Mathematics, MDPI, vol. 13(7), pages 1-16, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1159-:d:1625219
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