An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation
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, th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/12/1628 |
| _version_ | 1797504949711536128 |
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| author | Yashuang Deng Yuhui Shi |
| author_facet | Yashuang Deng Yuhui Shi |
| author_sort | Yashuang Deng |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T04:11:41Z |
| format | Article |
| id | doaj.art-f69a45e2d3b34cd68f844516f33aecdb |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T04:11:41Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-f69a45e2d3b34cd68f844516f33aecdb2023-11-23T08:10:51ZengMDPI AGEntropy1099-43002021-12-012312162810.3390/e23121628An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of DifferentiationYashuang Deng0Yuhui Shi1The School of Information and Safety Engineering, Zhongnan University of Economic and Law, Wuhan 430073, ChinaThe School of Information and Safety Engineering, Zhongnan University of Economic and Law, Wuhan 430073, ChinaContinuous 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.https://www.mdpi.com/1099-4300/23/12/1628chaosdigital Henon mapdynamical degradationerror compensationentropy |
| spellingShingle | Yashuang Deng Yuhui Shi An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation Entropy chaos digital Henon map dynamical degradation error compensation entropy |
| title | An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation |
| title_full | An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation |
| title_fullStr | An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation |
| title_full_unstemmed | An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation |
| title_short | An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation |
| title_sort | error compensation method for improving the properties of a digital henon map based on the generalized mean value theorem of differentiation |
| topic | chaos digital Henon map dynamical degradation error compensation entropy |
| url | https://www.mdpi.com/1099-4300/23/12/1628 |
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