Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced Period
When chaotic systems are realized in digital circuits, their chaotic behavior will degenerate into short periodic behavior. Short periodic behavior brings hidden dangers to the application of digitized chaotic systems. In this paper, an approach based on the introduction of additional parameters to...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/5942121 |
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| _version_ | 1832545713146298368 |
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| author | Chuanfu Wang Qun Ding |
| author_facet | Chuanfu Wang Qun Ding |
| author_sort | Chuanfu Wang |
| collection | DOAJ |
| description | When chaotic systems are realized in digital circuits, their chaotic behavior will degenerate into short periodic behavior. Short periodic behavior brings hidden dangers to the application of digitized chaotic systems. In this paper, an approach based on the introduction of additional parameters to counteract the short periodic behavior of digitized chaotic time series is discussed. We analyze the ways that perturbation sources are introduced in parameters and variables and prove that the period of digitized chaotic time series generated by a digitized logistic map is improved efficiently. Furthermore, experimental implementation shows that the digitized chaotic time series has great complexity, approximate entropy, and randomness, and the perturbed digitized logistic map can be used as a secure pseudorandom sequence generator for information encryption. |
| format | Article |
| id | doaj-art-601126fcacd6412e8dab86ebd83eee5f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-601126fcacd6412e8dab86ebd83eee5f2025-02-03T07:24:55ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/59421215942121Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced PeriodChuanfu Wang0Qun Ding1Electronic Engineering College, Heilongjiang University, Harbin 150080, ChinaElectronic Engineering College, Heilongjiang University, Harbin 150080, ChinaWhen chaotic systems are realized in digital circuits, their chaotic behavior will degenerate into short periodic behavior. Short periodic behavior brings hidden dangers to the application of digitized chaotic systems. In this paper, an approach based on the introduction of additional parameters to counteract the short periodic behavior of digitized chaotic time series is discussed. We analyze the ways that perturbation sources are introduced in parameters and variables and prove that the period of digitized chaotic time series generated by a digitized logistic map is improved efficiently. Furthermore, experimental implementation shows that the digitized chaotic time series has great complexity, approximate entropy, and randomness, and the perturbed digitized logistic map can be used as a secure pseudorandom sequence generator for information encryption.http://dx.doi.org/10.1155/2019/5942121 |
| spellingShingle | Chuanfu Wang Qun Ding Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced Period Complexity |
| title | Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced Period |
| title_full | Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced Period |
| title_fullStr | Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced Period |
| title_full_unstemmed | Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced Period |
| title_short | Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced Period |
| title_sort | constructing digitized chaotic time series with a guaranteed enhanced period |
| url | http://dx.doi.org/10.1155/2019/5942121 |
| work_keys_str_mv | AT chuanfuwang constructingdigitizedchaotictimeserieswithaguaranteedenhancedperiod AT qunding constructingdigitizedchaotictimeserieswithaguaranteedenhancedperiod |