| Detecting low-dimensional chaos by the "noise titration" technique: Possible problems and remedies |
| Gao JB(高剑波) ; Hu J; Mao X; Tung WW; Gao, JB; PMB Intelligence LLC, POB 2077, W Lafayette, IN 47996 USA.
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| 发表期刊 | CHAOS SOLITONS & FRACTALS
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| 2012-03-01
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| 卷号 | 45期号:3页码:213-223 |
| ISSN | 0960-0779
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| 摘要 | Distinguishing low-dimensional chaos from noise is an important issue in time series analysis. Among the many methods proposed for this purpose is the noise titration technique, which quantifies the amount of noise that needs to be added to the signal to fully destroy its nonlinearity. Two groups of researchers recently have questioned the validity of the technique. In this paper, we report a broad range of situations where the noise titration technique fails, and offer solutions to fix the problems identified. |
| 关键词 | Nonlinear Time-series
Direct Dynamical Test
Power-law Spectra
Stochastic Resonance
Embedding Dimension
Deterministic Chaos
Strange Attractors
Predictability
Multistability
Equations
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| 学科领域 | 动力系统的分岔、混沌
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| URL | 查看原文
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000301617900003
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| 项目资助者 | The authors are grateful for Professor Leon Glass's suggestion of examining intermittent chaos and the 2nd model of Freitas et al., and two anonymous reviewers very constructive comments. This work is supported in part by NSF Grants CMMI-0825311 and 0826119.
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| 论文分区 | 二类
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/46677
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| 专题 | 非线性力学国家重点实验室
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| 通讯作者 | Gao, JB; PMB Intelligence LLC, POB 2077, W Lafayette, IN 47996 USA. |
推荐引用方式
GB/T 7714 |
Gao JB,Hu J,Mao X,et al. Detecting low-dimensional chaos by the "noise titration" technique: Possible problems and remedies[J]. CHAOS SOLITONS & FRACTALS,2012,45,3,:213-223.
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| APA |
高剑波,Hu J,Mao X,Tung WW,Gao, JB,&PMB Intelligence LLC, POB 2077, W Lafayette, IN 47996 USA..(2012).Detecting low-dimensional chaos by the "noise titration" technique: Possible problems and remedies.CHAOS SOLITONS & FRACTALS,45(3),213-223.
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| MLA |
高剑波,et al."Detecting low-dimensional chaos by the "noise titration" technique: Possible problems and remedies".CHAOS SOLITONS & FRACTALS 45.3(2012):213-223.
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