A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications
Joint Authors
Min, Lequan
Zhang, Mei
Wang, Danling
Wang, Xue
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Firstly, this study introduces a definition of generalized stability (GST) in discrete-time nonautonomous chaos system (DNCS), which is an extension for chaos generalized synchronization.
Secondly, a constructive theorem of DNCS has been proposed.
As an example, a GST DNCS is constructed based on a novel 4-dimensional discrete chaotic map.
Numerical simulations show that the dynamic behaviors of this map have chaotic attractor characteristics.
As one application, we design a chaotic pseudorandom number generator (CPRNG) based on the GST DNCS.
We use the SP800-22 test suite to test the randomness of four 100-key streams consisting of 1,000,000 bits generated by the CPRNG, the RC4 algorithm, the ZUC algorithm, and a 6-dimensional CGS-based CPRNG, respectively.
The numerical results show that the randomness performances of the two CPRNGs are promising.
In addition, theoretically the key space of the CPRNG is larger than 21116.
As another application, this study designs a stream avalanche encryption scheme (SAES) in RGB image encryption.
The results show that the GST DNCS is able to generate the avalanche effects which are similar to those generated via ideal CPRNGs.
American Psychological Association (APA)
Zhang, Mei& Wang, Danling& Min, Lequan& Wang, Xue. 2015. A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1072933
Modern Language Association (MLA)
Zhang, Mei…[et al.]. A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1072933
American Medical Association (AMA)
Zhang, Mei& Wang, Danling& Min, Lequan& Wang, Xue. A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1072933
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1072933