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An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation

The School of Information and Safety Engineering, Zhongnan University of Economic and Law, Wuhan 430073, China
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Academic Editor: Stanisław Drożdż
Entropy 2021, 23(12), 1628; https://doi.org/10.3390/e23121628
Received: 15 October 2021 / Revised: 20 November 2021 / Accepted: 27 November 2021 / Published: 2 December 2021
Continuous chaos may collapse in the digital world. This study proposes a method of error compensation for a two-dimensional digital system based on the generalized mean value theorem of differentiation that can restore the fundamental performance of chaotic systems. Different from other methods, the compensation sequence of our method comes from the chaotic system itself and can be applied to higher-dimensional digital chaotic systems. The experimental results show that the improved system is highly consistent with the real chaotic system, and it has excellent chaotic characteristics such as high complexity, randomness, and ergodicity. View Full-Text
Keywords: chaos; digital Henon map; dynamical degradation; error compensation; entropy chaos; digital Henon map; dynamical degradation; error compensation; entropy
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MDPI and ACS Style

Deng, Y.; Shi, Y. An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation. Entropy 2021, 23, 1628. https://doi.org/10.3390/e23121628

AMA Style

Deng Y, Shi Y. An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation. Entropy. 2021; 23(12):1628. https://doi.org/10.3390/e23121628

Chicago/Turabian Style

Deng, Yashuang, and Yuhui Shi. 2021. "An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation" Entropy 23, no. 12: 1628. https://doi.org/10.3390/e23121628

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