Nonlinear Dynamics and Statistics:
Saved in:
| Other Authors: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
2001
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | All models are lies. "The Earth orbits the sun in an ellipse with the sun at one focus" is false, but accurate enough for almost all purposes. This book describes the current state of the art of telling useful lies about time-varying systems in the real world. Specifically, it is about trying to "understand" (that is, tell useful lies about) dynamical systems directly from observations, either because they are too complex to model in the conventional way or because they are simply ill-understood. Because it overlaps with conventional time-series analysis, building models of nonlinear dynamical systems directly from data has been seen by some observers as a somewhat ill-informed attempt to reinvent time-series analysis. The truth is distinctly less trivial. It is surely impossible, except in a few special cases, to re-create Newton's astonishing feat of writing a short equation that is an excellent description of real-world phenomena. Real systems are connected to the rest of the world; they are noisy, nonstationary, and have high-dimensional dynamics; even when the dynamics contains lower-dimensional attractors there is almost never a coordinate system available in which these at tractors have a conventionally simple description |
| Physical Description: | 1 Online-Ressource (XXII, 473 p) |
| ISBN: | 9781461201779 9781461266488 |
| DOI: | 10.1007/978-1-4612-0177-9 |
Staff View
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0177-9 |
| format | Electronic eBook |
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| spelling | Mees, Alistair I. edt Nonlinear Dynamics and Statistics edited by Alistair I. Mees Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XXII, 473 p) txt rdacontent c rdamedia cr rdacarrier All models are lies. "The Earth orbits the sun in an ellipse with the sun at one focus" is false, but accurate enough for almost all purposes. This book describes the current state of the art of telling useful lies about time-varying systems in the real world. Specifically, it is about trying to "understand" (that is, tell useful lies about) dynamical systems directly from observations, either because they are too complex to model in the conventional way or because they are simply ill-understood. Because it overlaps with conventional time-series analysis, building models of nonlinear dynamical systems directly from data has been seen by some observers as a somewhat ill-informed attempt to reinvent time-series analysis. The truth is distinctly less trivial. It is surely impossible, except in a few special cases, to re-create Newton's astonishing feat of writing a short equation that is an excellent description of real-world phenomena. Real systems are connected to the rest of the world; they are noisy, nonstationary, and have high-dimensional dynamics; even when the dynamics contains lower-dimensional attractors there is almost never a coordinate system available in which these at tractors have a conventionally simple description Mathematics Engineering Operations Research, Management Science Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Computational Intelligence Ingenieurwissenschaften Mathematik Zeitreihenanalyse (DE-588)4067486-1 gnd rswk-swf Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1998 Cambridge gnd-content Zeitreihenanalyse (DE-588)4067486-1 s 2\p DE-604 Nichtlineare Dynamik (DE-588)4126141-0 s 3\p DE-604 https://doi.org/10.1007/978-1-4612-0177-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nonlinear Dynamics and Statistics Mathematics Engineering Operations Research, Management Science Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Computational Intelligence Ingenieurwissenschaften Mathematik Zeitreihenanalyse (DE-588)4067486-1 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd |
| subject_GND | (DE-588)4067486-1 (DE-588)4126141-0 (DE-588)1071861417 |
| title | Nonlinear Dynamics and Statistics |
| title_auth | Nonlinear Dynamics and Statistics |
| title_exact_search | Nonlinear Dynamics and Statistics |
| title_full | Nonlinear Dynamics and Statistics edited by Alistair I. Mees |
| title_fullStr | Nonlinear Dynamics and Statistics edited by Alistair I. Mees |
| title_full_unstemmed | Nonlinear Dynamics and Statistics edited by Alistair I. Mees |
| title_short | Nonlinear Dynamics and Statistics |
| title_sort | nonlinear dynamics and statistics |
| topic | Mathematics Engineering Operations Research, Management Science Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Computational Intelligence Ingenieurwissenschaften Mathematik Zeitreihenanalyse (DE-588)4067486-1 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd |
| topic_facet | Mathematics Engineering Operations Research, Management Science Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Computational Intelligence Ingenieurwissenschaften Mathematik Zeitreihenanalyse Nichtlineare Dynamik Konferenzschrift 1998 Cambridge |
| url | https://doi.org/10.1007/978-1-4612-0177-9 |
| work_keys_str_mv | AT meesalistairi nonlineardynamicsandstatistics |