Symmetries, topology, and resonances in Hamiltonian mechanics /
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. Mon...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1996]
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| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete ;
3. Folge, Bd. 31. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xi, 378 pages) : illustrations. |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages [367]-376) and index. |
| ISBN: | 9783642783937 (electronic bk.) 3642783937 (electronic bk.) |