| 一类三维混沌系统界的估计 |
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| 引用本文： | 郑宇, 张晓丹. 一类三维混沌系统界的估计[J]. 工程科学学报, 2008, 30(8): 959-962. DOI: 10.13374/j.issn1001-053x.2008.08.018 |
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| 作者姓名： | 郑宇 张晓丹 |
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| 作者单位： | 1.北京科技大学应用科学学院, 北京 100083 |
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| 基金项目： | 北京科技大学科研基金资助项目 |
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| 摘 要： | 对一类三维混沌系统的界进行了估计.首先运用参数法给出了该三维混沌系统在条件-1 ≤ c<0下两变量的一个上界估计定理并进行了证明,其次在两变量上界估计的基础上给出了该混沌系统三变量的一个上界估计定理并进行了证明;最后给出了具体参数下该三维混沌系统的上界估计值并进行了数值模拟.
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| 关 键 词： | 三维混沌系统 混沌 有界 李雅普诺夫函数 参数法 |
| 收稿时间： | 2007-06-12 |
| 修稿时间： | 2007-12-14 |
Estimatiion of bounds for a kind of three-dimensional chaotic system |
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| ZHENG Yu, ZHANG Xiaodan. Estimatiion of bounds for a kind of three-dimensional chaotic system[J]. Chinese Journal of Engineering, 2008, 30(8): 959-962. DOI: 10.13374/j.issn1001-053x.2008.08.018 |
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| Authors: | ZHENG Yu ZHANG Xiaodan |
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| Affiliation: | 1.School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | The bound of a kind of three-dimensional chaotic system was estimated. Firstly, under the condition of -1 ≤ c<0, the theorem about an upper bound estimate of two variables was given by parameterization and proved. Secondly, the theorem about an upper bound estimate of three variables was proposed and proved. Finally, the actual parameter bounds of the three-dimensional chaotic system were estimated and their numerical simulations were done. |
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| Keywords: | three-dimensional chaotic system chaos bound Lyapunov function parameter method |
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