Direct dynamical test for deterministic chaos and optimal embedding of a chaotic time-series
文献类型：期刊论文
| 作者 | Gao JB(高剑波) ; ZhengZM(郑哲敏)
|
| 刊名 | Physical Review E
 |
| 出版日期 | 1994 |
| 卷号 | 49期号:5页码:3807-3814 |
| 关键词 | Power-Law Spectra Strange Attractors Lyapunov-Exponent Correlation Dimension Phase-Space Systems Entropy Noise |
| ISSN号 | 1063-651X |
| 通讯作者 | GAO, JB (reprint author), CHINESE ACAD SCI,INST MECH,NONLINEAR MECH CONTINUOUS MEDIA LAB,BEIJING 100080,PEOPLES R CHINA. |
| 中文摘要 | We propose here a local exponential divergence plot which is capable of providing an alternative means of characterizing a complex time series. The suggested plot defines a time-dependent exponent and a ''plus'' exponent. Based on their changes with the embedding dimension and delay time, a criterion for estimating simultaneously the minimal acceptable embedding dimension, the proper delay time, and the largest Lyapunov exponent has been obtained. When redefining the time-dependent exponent LAMBDA(k) curves on a series of shells, we have found that whether a linear envelope to the LAMBDA(k) curves exists can serve as a direct dynamical method of distinguishing chaos from noise. |
| 类目[WOS] | Physics, Fluids & Plasmas ; Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | POWER-LAW SPECTRA ; STRANGE ATTRACTORS ; LYAPUNOV-EXPONENT ; CORRELATION DIMENSION ; PHASE-SPACE ; SYSTEMS ; ENTROPY ; NOISE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:A1994NN99400039 |
| 公开日期 | 2009-08-03 ; 2010-08-20 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/39338]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Gao JB,ZhengZM. Direct dynamical test for deterministic chaos and optimal embedding of a chaotic time-series[J]. Physical Review E,1994,49(5):3807-3814. |
| APA | 高剑波,&ZhengZM.(1994).Direct dynamical test for deterministic chaos and optimal embedding of a chaotic time-series.Physical Review E,49(5),3807-3814. |
| MLA | 高剑波,et al."Direct dynamical test for deterministic chaos and optimal embedding of a chaotic time-series".Physical Review E 49.5(1994):3807-3814. |
入库方式： OAI收割
来源：力学研究所
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