Matches in SemOpenAlex for { <https://semopenalex.org/work/W2056334080> ?p ?o ?g. }
- W2056334080 abstract "In time series analysis, it has been considered of key importance to determine whether a complex time series measured from the system is regular, deterministically chaotic, or random. Recently, Gottwald and Melbourne have proposed an interesting test for chaos in deterministic systems. Their analyses suggest that the test may be universally applicable to any deterministic dynamical system. In order to fruitfully apply their test to complex experimental data, it is important to understand the mechanism for the test to work, and how it behaves when it is employed to analyze various types of data, including those not from clean deterministic systems. We find that the essence of their test can be described as to first constructing a random walklike process from the data, then examining how the variance of the random walk scales with time. By applying the test to three sets of data, corresponding to (i) 1/falpha noise with long-range correlations, (ii) edge of chaos, and (iii) weak chaos, we show that the test mis-classifies (i) both deterministic and weakly stochastic edge of chaos and weak chaos as regular motions, and (ii) strongly stochastic edge of chaos and weak chaos, as well as 1/falpha noise as deterministic chaos. Our results suggest that, while the test may be effective to discriminate regular motion from fully developed deterministic chaos, it is not useful for exploratory purposes, especially for the analysis of experimental data with little a priori knowledge. A few speculative comments on the future of multiscale nonlinear time series analysis are made." @default.
- W2056334080 created "2016-06-24" @default.
- W2056334080 creator A5025784292 @default.
- W2056334080 creator A5052735725 @default.
- W2056334080 creator A5084857367 @default.
- W2056334080 creator A5090792777 @default.
- W2056334080 date "2005-11-14" @default.
- W2056334080 modified "2023-09-30" @default.
- W2056334080 title "Reliability of the 0-1 test for chaos" @default.
- W2056334080 cites W1528904753 @default.
- W2056334080 cites W1963794312 @default.
- W2056334080 cites W1967671229 @default.
- W2056334080 cites W1968484714 @default.
- W2056334080 cites W1970788578 @default.
- W2056334080 cites W1972501654 @default.
- W2056334080 cites W1977360274 @default.
- W2056334080 cites W1980879180 @default.
- W2056334080 cites W1981405035 @default.
- W2056334080 cites W1984194768 @default.
- W2056334080 cites W1984391316 @default.
- W2056334080 cites W1984625617 @default.
- W2056334080 cites W1991755147 @default.
- W2056334080 cites W1998367480 @default.
- W2056334080 cites W2002187337 @default.
- W2056334080 cites W2003659790 @default.
- W2056334080 cites W2006324882 @default.
- W2056334080 cites W2011480164 @default.
- W2056334080 cites W2015351206 @default.
- W2056334080 cites W2018136689 @default.
- W2056334080 cites W2022044299 @default.
- W2056334080 cites W2027501869 @default.
- W2056334080 cites W2031647445 @default.
- W2056334080 cites W2032610607 @default.
- W2056334080 cites W2034164492 @default.
- W2056334080 cites W2036293044 @default.
- W2056334080 cites W2040713902 @default.
- W2056334080 cites W2041475039 @default.
- W2056334080 cites W2046328835 @default.
- W2056334080 cites W2049069484 @default.
- W2056334080 cites W2049975676 @default.
- W2056334080 cites W2050214465 @default.
- W2056334080 cites W2053073300 @default.
- W2056334080 cites W2053363673 @default.
- W2056334080 cites W2055084071 @default.
- W2056334080 cites W2055186626 @default.
- W2056334080 cites W2056651346 @default.
- W2056334080 cites W2057953526 @default.
- W2056334080 cites W2060264288 @default.
- W2056334080 cites W2065354509 @default.
- W2056334080 cites W2066395997 @default.
- W2056334080 cites W2069412142 @default.
- W2056334080 cites W2071806339 @default.
- W2056334080 cites W2078206416 @default.
- W2056334080 cites W2088270034 @default.
- W2056334080 cites W2088581336 @default.
- W2056334080 cites W2104833127 @default.
- W2056334080 cites W2105818147 @default.
- W2056334080 cites W2111271983 @default.
- W2056334080 cites W2113476905 @default.
- W2056334080 cites W2115122866 @default.
- W2056334080 cites W2128835353 @default.
- W2056334080 cites W2132687592 @default.
- W2056334080 cites W2141178737 @default.
- W2056334080 cites W2148275477 @default.
- W2056334080 cites W2152254020 @default.
- W2056334080 cites W2158359711 @default.
- W2056334080 cites W2162435139 @default.
- W2056334080 cites W2478227765 @default.
- W2056334080 cites W2963564550 @default.
- W2056334080 cites W3098272471 @default.
- W2056334080 cites W3104604174 @default.
- W2056334080 cites W3121619209 @default.
- W2056334080 cites W3212699936 @default.
- W2056334080 cites W4239340087 @default.
- W2056334080 cites W4249653603 @default.
- W2056334080 doi "https://doi.org/10.1103/physreve.72.056207" @default.
- W2056334080 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/16383727" @default.
- W2056334080 hasPublicationYear "2005" @default.
- W2056334080 type Work @default.
- W2056334080 sameAs 2056334080 @default.
- W2056334080 citedByCount "62" @default.
- W2056334080 countsByYear W20563340802012 @default.
- W2056334080 countsByYear W20563340802013 @default.
- W2056334080 countsByYear W20563340802014 @default.
- W2056334080 countsByYear W20563340802015 @default.
- W2056334080 countsByYear W20563340802017 @default.
- W2056334080 countsByYear W20563340802018 @default.
- W2056334080 countsByYear W20563340802019 @default.
- W2056334080 countsByYear W20563340802020 @default.
- W2056334080 countsByYear W20563340802021 @default.
- W2056334080 countsByYear W20563340802022 @default.
- W2056334080 countsByYear W20563340802023 @default.
- W2056334080 crossrefType "journal-article" @default.
- W2056334080 hasAuthorship W2056334080A5025784292 @default.
- W2056334080 hasAuthorship W2056334080A5052735725 @default.
- W2056334080 hasAuthorship W2056334080A5084857367 @default.
- W2056334080 hasAuthorship W2056334080A5090792777 @default.
- W2056334080 hasConcept C105795698 @default.
- W2056334080 hasConcept C111472728 @default.
- W2056334080 hasConcept C11413529 @default.