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Design and Implementation of Autonomous and Non-Autonomous Time-Delay Chaotic System Based on Field Programmable Analog Array

1
School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China
2
Key Laboratory of Image Information Processing and Intelligent Control, Ministry of Education, Wuhan 430074, China
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(5), 437; https://doi.org/10.3390/e21050437
Received: 20 March 2019 / Revised: 22 April 2019 / Accepted: 23 April 2019 / Published: 26 April 2019
(This article belongs to the Section Multidisciplinary Applications)
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PDF [10521 KB, uploaded 26 April 2019]
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Abstract

Time-delay chaotic systems can have hyperchaotic attractors with large numbers of positive Lyapunov exponents, and can generate highly stochastic and unpredictable time series with simple structures, which is very suitable as a secured chaotic source in chaotic secure communications. But time-delay chaotic systems are generally designed and implemented by using analog circuit design techniques. Analog implementations require a variety of electronic components and can be difficult and time consuming. At this stage, we can now solve this question by using FPAA (Field-Programmable Analog Array). FPAA is a programmable device for implementing multiple analog functions via dynamic reconfiguration. In this paper, we will introduce two FPAA-based design examples: An autonomous Ikeda system and a non-autonomous Duffing system, to show how a FPAA device is used to design programmable analog time-delay chaotic systems and analyze Shannon entropy and Lyapunov exponents of time series output by circuit and simulation systems. View Full-Text
Keywords: chaos; time-delay; chaotic secure communications; FPAA; Ikeda system; Duffing system chaos; time-delay; chaotic secure communications; FPAA; Ikeda system; Duffing system
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Hu, H.-P.; Liu, X.-H.; Xie, F.-L. Design and Implementation of Autonomous and Non-Autonomous Time-Delay Chaotic System Based on Field Programmable Analog Array. Entropy 2019, 21, 437.

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