Reducing the Dynamical Degradation of Digital Chaotic Maps with Time-Delay Linear Feedback and Parameter Perturbation
Joint Authors
Liu, Lingfeng
Liu, Bocheng
Xiang, Hongyue
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Digital chaotic maps are not secure enough for cryptographic applications due to their dynamical degradation.
In order to improve their dynamics, in this paper, a novel method with time-delay linear feedback and parameter perturbation is proposed.
The delayed state variable is used to construct the linear feedback function and parameter perturbation function.
This method is universal for all different digital chaotic maps.
Here, two examples are presented: one is 1D logistic map and the other is 2D Baker map.
To show the effectiveness of this method, we take some numerical experiments, including trajectory and phase space analysis, correlation analysis, period analysis, and complexity analysis.
All the numerical results prove that the method can greatly improve the dynamics of digital chaotic maps and is quite competitive with other proposed methods.
Furthermore, a simple pseudorandom bit generator (PRBG) based on digital Baker map is proposed to show its potential application.
The proposed PRBG is completely constructed by the digital chaotic map, without any other complex operations.
Several numerical results indicate that this PRBG has good randomness and high complexity level.
American Psychological Association (APA)
Liu, Bocheng& Xiang, Hongyue& Liu, Lingfeng. 2020. Reducing the Dynamical Degradation of Digital Chaotic Maps with Time-Delay Linear Feedback and Parameter Perturbation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1195520
Modern Language Association (MLA)
Liu, Bocheng…[et al.]. Reducing the Dynamical Degradation of Digital Chaotic Maps with Time-Delay Linear Feedback and Parameter Perturbation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1195520
American Medical Association (AMA)
Liu, Bocheng& Xiang, Hongyue& Liu, Lingfeng. Reducing the Dynamical Degradation of Digital Chaotic Maps with Time-Delay Linear Feedback and Parameter Perturbation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1195520
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195520