Stable and random motions in dynamical systems: with special emphasis on celestial mechanics
For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
1973
|
| Ausgabe: | with a new foreword by Philip J. Holmes |
| Schriftenreihe: | Annals of Mathematics Studies
number 77 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1515/9781400882694?locatt=mode:legacy |
| Zusammenfassung: | For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Mar. 30, 2016) |
| Umfang: | 1 online resource |
| ISBN: | 9781400882694 |
| DOI: | 10.1515/9781400882694 |
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| 520 | |a For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics | ||
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Datensatz im Suchindex
| _version_ | 1818982030700969984 |
|---|---|
| any_adam_object | |
| author | Moser, Jürgen 1928-1999 |
| author_GND | (DE-588)118939513 |
| author_facet | Moser, Jürgen 1928-1999 |
| author_role | aut |
| author_sort | Moser, Jürgen 1928-1999 |
| author_variant | j m jm |
| building | Verbundindex |
| bvnumber | BV043598897 |
| classification_rvk | SI 830 |
| collection | ZDB-23-DGG ZDB-23-PST |
| ctrlnum | (ZDB-23-DGG)9781400882694 (OCoLC)1165457666 (DE-599)BVBBV043598897 |
| dewey-full | 521/.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 521 - Celestial mechanics |
| dewey-raw | 521/.1 |
| dewey-search | 521/.1 |
| dewey-sort | 3521 11 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1515/9781400882694 |
| edition | with a new foreword by Philip J. Holmes |
| format | Electronic eBook |
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| id | DE-604.BV043598897 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:40:44Z |
| institution | BVB |
| isbn | 9781400882694 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029013110 |
| oclc_num | 1165457666 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-PST |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Moser, Jürgen 1928-1999 (DE-588)118939513 aut Stable and random motions in dynamical systems with special emphasis on celestial mechanics Jurgen Moser with a new foreword by Philip J. Holmes Princeton, NJ Princeton University Press 1973 © 1973 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 77 Description based on online resource; title from PDF title page (publisher's Web site, viewed Mar. 30, 2016) For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics In English Celestial mechanics Mechanik (DE-588)4038168-7 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Himmelsmechanik (DE-588)4127484-2 gnd rswk-swf Vielkörperproblem (DE-588)4078900-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Stabilität (DE-588)4056693-6 s 1\p DE-604 Himmelsmechanik (DE-588)4127484-2 s 2\p DE-604 Mechanik (DE-588)4038168-7 s 3\p DE-604 Vielkörperproblem (DE-588)4078900-7 s 4\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-08132-8 Annals of Mathematics Studies number 77 (DE-604)BV040389493 77 https://doi.org/10.1515/9781400882694?locatt=mode:legacy Verlag URL des Erstveröffentlichers 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 | Moser, Jürgen 1928-1999 Stable and random motions in dynamical systems with special emphasis on celestial mechanics Annals of Mathematics Studies Celestial mechanics Mechanik (DE-588)4038168-7 gnd Stabilität (DE-588)4056693-6 gnd Himmelsmechanik (DE-588)4127484-2 gnd Vielkörperproblem (DE-588)4078900-7 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4056693-6 (DE-588)4127484-2 (DE-588)4078900-7 (DE-588)4013396-5 |
| title | Stable and random motions in dynamical systems with special emphasis on celestial mechanics |
| title_auth | Stable and random motions in dynamical systems with special emphasis on celestial mechanics |
| title_exact_search | Stable and random motions in dynamical systems with special emphasis on celestial mechanics |
| title_full | Stable and random motions in dynamical systems with special emphasis on celestial mechanics Jurgen Moser |
| title_fullStr | Stable and random motions in dynamical systems with special emphasis on celestial mechanics Jurgen Moser |
| title_full_unstemmed | Stable and random motions in dynamical systems with special emphasis on celestial mechanics Jurgen Moser |
| title_short | Stable and random motions in dynamical systems |
| title_sort | stable and random motions in dynamical systems with special emphasis on celestial mechanics |
| title_sub | with special emphasis on celestial mechanics |
| topic | Celestial mechanics Mechanik (DE-588)4038168-7 gnd Stabilität (DE-588)4056693-6 gnd Himmelsmechanik (DE-588)4127484-2 gnd Vielkörperproblem (DE-588)4078900-7 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Celestial mechanics Mechanik Stabilität Himmelsmechanik Vielkörperproblem Dynamisches System |
| url | https://doi.org/10.1515/9781400882694?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT moserjurgen stableandrandommotionsindynamicalsystemswithspecialemphasisoncelestialmechanics |