Searching for determinism in observed data: a review of the issues involved
In this paper we present a review of advances made and problems still existing in the application of the theory of chaos and dynamical systems to time series. In particular we discuss issues pertaining the estimation of dimensions, Lyapunov exponents and nonlinear prediction from an observable. We a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
1994-01-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/1/12/1994/npg-1-12-1994.pdf |
| _version_ | 1819087000236457984 |
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| author | A. A. Tsonis G. N. Triantafyllou J. B. Elsner |
| author_facet | A. A. Tsonis G. N. Triantafyllou J. B. Elsner |
| author_sort | A. A. Tsonis |
| collection | DOAJ |
| description | In this paper we present a review of advances made and problems still existing in the application of the theory of chaos and dynamical systems to time series. In particular we discuss issues pertaining the estimation of dimensions, Lyapunov exponents and nonlinear prediction from an observable. We analyze the problems and discuss proper ways to deal with them. |
| first_indexed | 2024-12-21T21:29:11Z |
| format | Article |
| id | doaj.art-bb81ca8465aa42c3a0d487871334f920 |
| institution | Directory Open Access Journal |
| issn | 1023-5809 1607-7946 |
| language | English |
| last_indexed | 2024-12-21T21:29:11Z |
| publishDate | 1994-01-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj.art-bb81ca8465aa42c3a0d487871334f9202022-12-21T18:49:41ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79461994-01-01111225Searching for determinism in observed data: a review of the issues involvedA. A. TsonisG. N. TriantafyllouJ. B. ElsnerIn this paper we present a review of advances made and problems still existing in the application of the theory of chaos and dynamical systems to time series. In particular we discuss issues pertaining the estimation of dimensions, Lyapunov exponents and nonlinear prediction from an observable. We analyze the problems and discuss proper ways to deal with them.http://www.nonlin-processes-geophys.net/1/12/1994/npg-1-12-1994.pdf |
| spellingShingle | A. A. Tsonis G. N. Triantafyllou J. B. Elsner Searching for determinism in observed data: a review of the issues involved Nonlinear Processes in Geophysics |
| title | Searching for determinism in observed data: a review of the issues involved |
| title_full | Searching for determinism in observed data: a review of the issues involved |
| title_fullStr | Searching for determinism in observed data: a review of the issues involved |
| title_full_unstemmed | Searching for determinism in observed data: a review of the issues involved |
| title_short | Searching for determinism in observed data: a review of the issues involved |
| title_sort | searching for determinism in observed data a review of the issues involved |
| url | http://www.nonlin-processes-geophys.net/1/12/1994/npg-1-12-1994.pdf |
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