Symmetries, Topology and Resonances in Hamiltonian Mechanics:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1996
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
31 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-642-78393-7 |
| Beschreibung: | John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how differential geometry, differential and algebraic topology, and Newton's laws make music together" (Amer. Math. Monthly, November 1989). Kozlov's book is a systematic introduction to the problem of exact integration of equations of dynamics. The key to the solution is to find nontrivial symmetries of Hamiltonian systems. After Poincaré's work it became clear that topological considerations and the analysis of resonance phenomena play a crucial role in the problem on the existence of symmetry fields and nontrivial conservation laws |
| Umfang: | 1 Online-Ressource (XI, 378p. 32 illus) |
| ISBN: | 9783642783937 9783642783951 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-78393-7 |
Internformat
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Datensatz im Suchindex
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| id | DE-604.BV042423004 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:47Z |
| institution | BVB |
| isbn | 9783642783937 9783642783951 |
| issn | 0071-1136 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858421 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XI, 378p. 32 illus) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |
| spellingShingle | Kozlov, Valerij V. Symmetries, Topology and Resonances in Hamiltonian Mechanics Mathematics Global analysis (Mathematics) Mathematical physics Analysis Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Integrables System (DE-588)4114032-1 gnd Hamilton-Formalismus (DE-588)4376155-0 gnd Hamiltonsches System (DE-588)4139943-2 gnd Hamiltonsches Prinzip (DE-588)4158958-0 gnd |
| subject_GND | (DE-588)4114032-1 (DE-588)4376155-0 (DE-588)4139943-2 (DE-588)4158958-0 |
| title | Symmetries, Topology and Resonances in Hamiltonian Mechanics |
| title_auth | Symmetries, Topology and Resonances in Hamiltonian Mechanics |
| title_exact_search | Symmetries, Topology and Resonances in Hamiltonian Mechanics |
| title_full | Symmetries, Topology and Resonances in Hamiltonian Mechanics by Valerij V. Kozlov |
| title_fullStr | Symmetries, Topology and Resonances in Hamiltonian Mechanics by Valerij V. Kozlov |
| title_full_unstemmed | Symmetries, Topology and Resonances in Hamiltonian Mechanics by Valerij V. Kozlov |
| title_short | Symmetries, Topology and Resonances in Hamiltonian Mechanics |
| title_sort | symmetries topology and resonances in hamiltonian mechanics |
| topic | Mathematics Global analysis (Mathematics) Mathematical physics Analysis Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Integrables System (DE-588)4114032-1 gnd Hamilton-Formalismus (DE-588)4376155-0 gnd Hamiltonsches System (DE-588)4139943-2 gnd Hamiltonsches Prinzip (DE-588)4158958-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Mathematical physics Analysis Mathematical Methods in Physics Numerical and Computational Physics Mathematik Mathematische Physik Integrables System Hamilton-Formalismus Hamiltonsches System Hamiltonsches Prinzip |
| url | https://doi.org/10.1007/978-3-642-78393-7 |
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