Digital model of a pseudo-random number generator based on a continuous chaotic system
It is shown that the choice of the time sampling parameter of the digital model of a continuous dynamic system with chaotic modes based on its dynamics makes it possible to control the characteristics of the output sequence, including avoiding short cycles and periodic behavior modes. On the example...
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| Format: | Article |
| Language: | Russian |
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National Academy of Sciences of Belarus, the United Institute of Informatics Problems
2021-01-01
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| Series: | Informatika |
| Subjects: | |
| Online Access: | https://inf.grid.by/jour/article/view/1113 |
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| _version_ | 1832543374556528640 |
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| author | Y. A. Drybin S. V. Sadau V. S. Sadau |
| author_facet | Y. A. Drybin S. V. Sadau V. S. Sadau |
| author_sort | Y. A. Drybin |
| collection | DOAJ |
| description | It is shown that the choice of the time sampling parameter of the digital model of a continuous dynamic system with chaotic modes based on its dynamics makes it possible to control the characteristics of the output sequence, including avoiding short cycles and periodic behavior modes. On the example of the Lorentz system, the analysis of the law of motion of a chaotic system, linearized in the vicinity of points of stable and unstable equilibrium, is carried out, on the basis of which the parameters of the mathematical model of the generator of pseudo-random numbers are selected. The output sequence of numbers generated in proposed way is subjected to statistical and correlation analysis. Based on the results of the tests carried out, we can say that the obtained pseudo-random sequences based on continuous chaotic systems have statistically random properties and can be used in steganographic and cryptographic systems. |
| format | Article |
| id | doaj-art-8cdeb145119f494dbe3d93ded5fc0161 |
| institution | Kabale University |
| issn | 1816-0301 |
| language | Russian |
| publishDate | 2021-01-01 |
| publisher | National Academy of Sciences of Belarus, the United Institute of Informatics Problems |
| record_format | Article |
| series | Informatika |
| spelling | doaj-art-8cdeb145119f494dbe3d93ded5fc01612025-02-03T11:46:28ZrusNational Academy of Sciences of Belarus, the United Institute of Informatics ProblemsInformatika1816-03012021-01-01174364710.37661/1816-0301-2020-17-4-36-47948Digital model of a pseudo-random number generator based on a continuous chaotic systemY. A. Drybin0S. V. Sadau1V. S. Sadau2Belarusian State UniversityBelarusian State UniversityBelarusian State UniversityIt is shown that the choice of the time sampling parameter of the digital model of a continuous dynamic system with chaotic modes based on its dynamics makes it possible to control the characteristics of the output sequence, including avoiding short cycles and periodic behavior modes. On the example of the Lorentz system, the analysis of the law of motion of a chaotic system, linearized in the vicinity of points of stable and unstable equilibrium, is carried out, on the basis of which the parameters of the mathematical model of the generator of pseudo-random numbers are selected. The output sequence of numbers generated in proposed way is subjected to statistical and correlation analysis. Based on the results of the tests carried out, we can say that the obtained pseudo-random sequences based on continuous chaotic systems have statistically random properties and can be used in steganographic and cryptographic systems.https://inf.grid.by/jour/article/view/1113time sampling, deterministic chaos, lorentz system, random sequences, digital model |
| spellingShingle | Y. A. Drybin S. V. Sadau V. S. Sadau Digital model of a pseudo-random number generator based on a continuous chaotic system Informatika time sampling, deterministic chaos, lorentz system, random sequences, digital model |
| title | Digital model of a pseudo-random number generator based on a continuous chaotic system |
| title_full | Digital model of a pseudo-random number generator based on a continuous chaotic system |
| title_fullStr | Digital model of a pseudo-random number generator based on a continuous chaotic system |
| title_full_unstemmed | Digital model of a pseudo-random number generator based on a continuous chaotic system |
| title_short | Digital model of a pseudo-random number generator based on a continuous chaotic system |
| title_sort | digital model of a pseudo random number generator based on a continuous chaotic system |
| topic | time sampling, deterministic chaos, lorentz system, random sequences, digital model |
| url | https://inf.grid.by/jour/article/view/1113 |
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