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| 动力系统时间延迟重构变换的行为 | |
| 引用本文： | 杨志安 陈式刚. 动力系统时间延迟重构变换的行为[J]. 计算物理, 1996, 13(3): 315-322 |
| 作者姓名： | 杨志安 陈式刚 |
| 作者单位： | 1. 中国工程物理研究院北京研究生部北京 100088;2. 北京应用物理与计算数学研究所北京 100088;3. 新疆大学物理系乌鲁木齐 830046 |
| 基金项目： | 国家基础性研究重大项目"非线性科学"和国家自然科学基金资助课题 |
| 摘 要： | 利用延迟重构变换的雅可比行列式,分析了动力系统重构中的拓朴性质。讨论了延迟时间的选择和重构变量本身的条件稳定性对重构拓朴的影响。利用条件Lyapunov指数分析了重构变量本身的好坏。文中以强迫Brusselator系统为例进行了讨论 |
| 关 键 词： | 时间序列 重构变换 雅可比行列式 |
| 收稿时间： | 1995-04-14 |
ANALYSIS OF TIME SERIES RECONSTRUCTION FOR FORCED BRUSSELATOR SYSTEM |
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| Zhi an Yang,Shi gang Chen. ANALYSIS OF TIME SERIES RECONSTRUCTION FOR FORCED BRUSSELATOR SYSTEM[J]. Chinese Journal of Computational Physics, 1996, 13(3): 315-322 | |
| Authors: | Zhi an Yang Shi gang Chen |
| Affiliation: | 1. Graduate School, China Academy of Engineering Physics, P. O. Box 8009, Beijing 100088, R. R. China;2. Center for Nonlinear Studies Institute of Applied Physics and Computation Mathematics, P. O. Box 8009, Beijing 100088, P. R. China |
| Abstract: | The topological properties of the delay-time reconstruction transformation of the forced Brusselator system are analysed by means of the Jacobian of the transformation. Topological properties depending on the delay time and on the conditional stability of a time series itself are discussed. The conditional Lyapunov exponent is used to judge whether a time series is good or bad. Results show that the choice of the embedding dimension by using saturation of system invariants is not appropriate. |
| Keywords: | time series reconstruction Jacobian.PACC number(s):0540 |
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