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.
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Research Article|
May 20 2019
A cascading method for constructing new discrete chaotic systems with better randomness
Fang Yuan
;
Fang Yuan
a)
1
College of Electrical Engineering and Automation, Shandong University of Science and Technology
, Qingdao 266590, China
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Yue Deng;
Yue Deng
1
College of Electrical Engineering and Automation, Shandong University of Science and Technology
, Qingdao 266590, China
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Yuxia Li;
Yuxia Li
1
College of Electrical Engineering and Automation, Shandong University of Science and Technology
, Qingdao 266590, China
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Guanrong Chen
Guanrong Chen
2
Department of Electronic Engineering, City University of Hong Kong
, Hong Kong 999077, China
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a)
E-mail: yf210yf@163.com
Chaos 29, 053120 (2019)
Article history
Received:
March 07 2019
Accepted:
April 29 2019
Citation
Fang Yuan, Yue Deng, Yuxia Li, Guanrong Chen; A cascading method for constructing new discrete chaotic systems with better randomness. Chaos 1 May 2019; 29 (5): 053120. https://doi.org/10.1063/1.5094936
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