Detecting low-dimensional chaos by the "noise titration" technique: Possible problems and remedies
文献类型：期刊论文
| 作者 | Gao JB(高剑波) ; Hu J; Mao X; Tung WW; Gao, JB; Gao, JB
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| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2012-03-01 |
| 卷号 | 45期号:3页码:213-223 |
| 通讯作者邮箱 | jbgao@pmbintelligence.com |
| 关键词 | Nonlinear Time-Series Direct Dynamical Test Power-Law Spectra Stochastic Resonance Embedding Dimension Deterministic Chaos Strange Attractors Predictability Multistability Equations |
| ISSN号 | 0960-0779 |
| 产权排序 | [Gao, Jianbo] PMB Intelligence LLC, W Lafayette, IN 47996 USA;[Gao, Jianbo] Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China; [Hu, Jing] Affymetrix Inc, Santa Clara, CA 95051 USA; [Mao, Xiang] Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA; [Tung, Wen-wen] Purdue Univ, Dept Earth & Atmospher Sci, W Lafayette, IN 47907 USA |
| 通讯作者 | Gao, JB ; PMB Intelligence LLC, POB 2077, W Lafayette, IN 47996 USA. |
| 合作状况 | 国际 |
| 中文摘要 | 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. |
| 学科主题 | 动力系统的分岔、混沌 |
| 分类号 | 二类 |
| 收录类别 | SCI ; EI |
| 资助信息 | 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. |
| 原文出处 | http://dx.doi.org/10.1016/j.chaos.2011.12.004 |
| 语种 | 英语 |
| WOS记录号 | WOS:000301617900003 |
| 公开日期 | 2013-01-18 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/46677]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 通讯作者 | Gao, JB; Gao, JB |
| 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. |
| APA | 高剑波,Hu J,Mao X,Tung WW,Gao, JB,&Gao, JB.(2012).Detecting low-dimensional chaos by the "noise titration" technique: Possible problems and remedies.CHAOS SOLITONS & FRACTALS,45(3),213-223. |
| 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. |
入库方式： OAI收割
来源：力学研究所
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