Symmetries, Topology and Resonances in Hamiltonian Mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1996
|
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
31 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XI, 378p. 32 illus) |
| ISBN: | 9783642783937 9783642783951 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-78393-7 |
Staff View
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Record in the Search Index
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| discipline | Mathematik |
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| id | DE-604.BV042423004 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642783937 9783642783951 |
| issn | 0071-1136 |
| language | English |
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| 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 |
| spelling | Kozlov, Valerij V. Verfasser aut Symmetries, Topology and Resonances in Hamiltonian Mechanics by Valerij V. Kozlov Berlin, Heidelberg Springer Berlin Heidelberg 1996 1 Online-Ressource (XI, 378p. 32 illus) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 31 0071-1136 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 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 rswk-swf Hamilton-Formalismus (DE-588)4376155-0 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Hamiltonsches Prinzip (DE-588)4158958-0 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Integrables System (DE-588)4114032-1 s 1\p DE-604 Hamiltonsches Prinzip (DE-588)4158958-0 s 2\p DE-604 Hamilton-Formalismus (DE-588)4376155-0 s 3\p DE-604 https://doi.org/10.1007/978-3-642-78393-7 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 | 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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