Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2001
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book summarizes and highlights progress in our understanding of Dy namical Systems during six years of the German Priority Research Program "Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems" . The program was funded by the Deutsche Forschungsgemeinschaft (DFG) and aimed at combining, focussing, and enhancing research efforts of active groups in the field by cooperation on a federal level. The surveys in the book are addressed to experts and non-experts in the mathematical community alike. In addition they intend to convey the significance of the results for applications far into the neighboring disciplines of Science. Three fundamental topics in Dynamical Systems are at the core of our research effort: behavior for large time dimension measure, and chaos Each of these topics is, of course, a highly complex problem area in itself and does not fit naturally into the deplorably traditional confines of any of the disciplines of ergodic theory, analysis, or numerical analysis alone. The necessity of mathematical cooperation between these three disciplines is quite obvious when facing the formidahle task of establishing a bidirectional transfer which bridges the gap between deep, detailed theoretical insight and relevant, specific applications. Both analysis and numerical analysis playa key role when it comes to huilding that bridge. Some steps of our joint bridging efforts are collected in this volume. Neither our approach nor the presentations in this volume are monolithic |
| Beschreibung: | 1 Online-Ressource (XI, 820 p) |
| ISBN: | 9783642565892 9783642625244 |
| DOI: | 10.1007/978-3-642-56589-2 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Fiedler, Bernold |
| author_facet | Fiedler, Bernold |
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-56589-2 |
| format | Electronic eBook |
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| spelling | Fiedler, Bernold Verfasser aut Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems edited by Bernold Fiedler Berlin, Heidelberg Springer Berlin Heidelberg 2001 1 Online-Ressource (XI, 820 p) txt rdacontent c rdamedia cr rdacarrier This book summarizes and highlights progress in our understanding of Dy namical Systems during six years of the German Priority Research Program "Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems" . The program was funded by the Deutsche Forschungsgemeinschaft (DFG) and aimed at combining, focussing, and enhancing research efforts of active groups in the field by cooperation on a federal level. The surveys in the book are addressed to experts and non-experts in the mathematical community alike. In addition they intend to convey the significance of the results for applications far into the neighboring disciplines of Science. Three fundamental topics in Dynamical Systems are at the core of our research effort: behavior for large time dimension measure, and chaos Each of these topics is, of course, a highly complex problem area in itself and does not fit naturally into the deplorably traditional confines of any of the disciplines of ergodic theory, analysis, or numerical analysis alone. The necessity of mathematical cooperation between these three disciplines is quite obvious when facing the formidahle task of establishing a bidirectional transfer which bridges the gap between deep, detailed theoretical insight and relevant, specific applications. Both analysis and numerical analysis playa key role when it comes to huilding that bridge. Some steps of our joint bridging efforts are collected in this volume. Neither our approach nor the presentations in this volume are monolithic Mathematics Global analysis (Mathematics) Distribution (Probability theory) Analysis Statistical Physics, Dynamical Systems and Complexity Probability Theory and Stochastic Processes Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Ergodentheorie (DE-588)4015246-7 s Differenzierbares dynamisches System (DE-588)4137931-7 s 2\p DE-604 Analysis (DE-588)4001865-9 s 3\p DE-604 Dynamisches System (DE-588)4013396-5 s 4\p DE-604 https://doi.org/10.1007/978-3-642-56589-2 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fiedler, Bernold Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems Mathematics Global analysis (Mathematics) Distribution (Probability theory) Analysis Statistical Physics, Dynamical Systems and Complexity Probability Theory and Stochastic Processes Mathematik Analysis (DE-588)4001865-9 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4013396-5 (DE-588)4137931-7 (DE-588)4015246-7 (DE-588)4143413-4 |
| title | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems |
| title_auth | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems |
| title_exact_search | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems |
| title_full | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems edited by Bernold Fiedler |
| title_fullStr | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems edited by Bernold Fiedler |
| title_full_unstemmed | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems edited by Bernold Fiedler |
| title_short | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems |
| title_sort | ergodic theory analysis and efficient simulation of dynamical systems |
| topic | Mathematics Global analysis (Mathematics) Distribution (Probability theory) Analysis Statistical Physics, Dynamical Systems and Complexity Probability Theory and Stochastic Processes Mathematik Analysis (DE-588)4001865-9 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Distribution (Probability theory) Analysis Statistical Physics, Dynamical Systems and Complexity Probability Theory and Stochastic Processes Mathematik Dynamisches System Differenzierbares dynamisches System Ergodentheorie Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-642-56589-2 |
| work_keys_str_mv | AT fiedlerbernold ergodictheoryanalysisandefficientsimulationofdynamicalsystems |