Abstract
The randomness of chaos comes from its sensitivity to initial conditions, which can be used for cryptosystems and secure communications. The Lyapunov exponent is a typical measure of this sensitivity. In this paper, for a given discrete chaotic system, a cascading method is presented for constructing a new discrete chaotic system, which can significantly enlarge the maximum Lyapunov exponent and improve the complex dynamic characteristics. Conditions are derived to ensure the cascading system is chaotic. The simulation results demonstrate that proper cascading can significantly enlarge the system parameter space and extend the full mapping range of chaos. These new features have good potential for better secure communications and cryptography.
| Original language | English |
|---|---|
| Article number | 053120 |
| Journal | Chaos |
| Volume | 29 |
| Issue number | 5 |
| Online published | 20 May 2019 |
| DOIs | |
| Publication status | Published - May 2019 |
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Fang Yuan, Yue Deng, Yuxia Li, and Guanrong Chen , "A cascading method for constructing new discrete chaotic systems with better randomness", Chaos 29, 053120 (2019) and may be found at https://doi.org/10.1063/1.5094936.
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