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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.
Source PublicationCHAOS SOLITONS & FRACTALS
2012-03-01
Volume45Issue:3Pages:213-223
ISSN0960-0779
AbstractDistinguishing 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.
KeywordNonlinear Time-series Direct Dynamical Test Power-law Spectra Stochastic Resonance Embedding Dimension Deterministic Chaos Strange Attractors Predictability Multistability Equations
Subject Area动力系统的分岔、混沌
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000301617900003
Funding OrganizationThe 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.
Classification二类
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/46677
Collection非线性力学国家重点实验室
Corresponding AuthorGao, JB; PMB Intelligence LLC, POB 2077, W Lafayette, IN 47996 USA.
Recommended Citation
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,&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.
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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