research-article
Authors: Hongjun Liu, Yujun Niu, and Mengdi Zhao
Volume 251, Issue C
Published: 24 July 2024 Publication History
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Abstract
The characteristics of state point trajectory in phase space of a chaotic map, such as ergodicity, aperiodicity, broadband and noise-like, have been proved to be suitable for cryptography. However, some weaknesses, such as small key space, multiple bifurcations and dense windows that exist in some classic 1D and 2D chaotic maps, effect their practical application. To solve these problems, we constructed a non-degeneracy nD chaotic model, and instantiated it to obtain a 3D chaotic map (3D-NDCM), the dynamics analysis results demonstrated that the 3D-NDCM has a sufficiently large chaotic range, its state point trajectories has ergodicity in phase space. To counteract dynamic degradation and extend the aperiodic length of state time sequences, we further constructed a 6D-NDCM based on the model. Experimental analysis results demonstrated that, a state time sequence with longer aperiodicity can be obtained, through both dimension expansion and adaptive impulsive perturbation.
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Published In
Expert Systems with Applications: An International Journal Volume 251, Issue C
Oct 2024
1592 pages
ISSN:0957-4174
Issue’s Table of Contents
Elsevier Ltd.
Publisher
Pergamon Press, Inc.
United States
Publication History
Published: 24 July 2024
Author Tags
- Non-degeneracy multi-dimension chaotic map
- Dynamic degradation
- Adaptive impulsive perturbation
- Extending aperiodic length
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