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| Direct dynamical test for deterministic chaos | |
Gao JB(高剑波) ; ZhengZM(郑哲敏); GAO, J (reprint author), CHINESE ACAD SCI,INST MECH,NONLINEAR MECH CONTINUOUS MEDIA LAB,BEIJING 100080,PEOPLES R CHINA.
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| Source Publication | Europhysics Letters
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| 1994 | |
| Volume | 25Issue:7Pages:485-490 |
| ISSN | 0295-5075 |
| Abstract | We present a direct and dynamical method to distinguish low-dimensional deterministic chaos from noise. We define a series of time-dependent curves which are closely related to the largest Lyapunov exponent. For a chaotic time series, there exists an envelope to the time-dependent curves, while for a white noise or a noise with the same power spectrum as that of a chaotic time series, the envelope cannot be defined. When a noise is added to a chaotic time series, the envelope is eventually destroyed with the increasing of the amplitude of the noise. |
| Keyword | Power-law Spectra Time-series Strange Attractors Lyapunov Exponents Dimension Entropy |
| DOI | 10.1209/0295-5075/25/7/002 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:A1994NB73700002 |
| WOS Keyword | POWER-LAW SPECTRA ; TIME-SERIES ; STRANGE ATTRACTORS ; LYAPUNOV EXPONENTS ; DIMENSION ; ENTROPY |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/39342 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | GAO, J (reprint author), CHINESE ACAD SCI,INST MECH,NONLINEAR MECH CONTINUOUS MEDIA LAB,BEIJING 100080,PEOPLES R CHINA. |
| Recommended Citation GB/T 7714 | Gao JB,ZhengZM,GAO, J . Direct dynamical test for deterministic chaos[J]. Europhysics Letters,1994,25,7,:485-490. |
| APA | 高剑波,ZhengZM,&GAO, J .(1994).Direct dynamical test for deterministic chaos.Europhysics Letters,25(7),485-490. |
| MLA | 高剑波,et al."Direct dynamical test for deterministic chaos".Europhysics Letters 25.7(1994):485-490. |
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