Introduction to hamiltonian dynamical systems and the n-body problem
This text grew out of graduate level courses in mathematics, engineering and physics given at several universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems...
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| 主要な著者: | , , |
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| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
New York, NY :
Springer New York
2009.
Cham : Springer Nature |
| 版: | 2nd ed. 2009. |
| シリーズ: | Applied Mathematical Sciences
90 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
L'impression du document génère 400 p. Description d'après consultation du 04 juillet 2011 Titre provenant de l'écran-titre Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2009 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to Hamiltonian dynamical systems and the N-body problem, Kenneth R. Meyer, Glenn R. Hall, Dan Offin, 2nd ed., New York, Springer Science+Business Media, 2009, 1 vol. (XIII-399 p.), Applied mathematical sciences, 978-0-387-09723-7 • Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, Texte imprimé, 9781441918864 • Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, Texte imprimé, 9780387097237 |
| 要約: | This text grew out of graduate level courses in mathematics, engineering and physics given at several universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to variational calculus and the Maslov index, the basics of the symplectic group, an introduction to reduction, applications of Poincaré's continuation to periodic solutions, the use of normal forms, applications of fixed point theorems and KAM theory. There is a special chapter devoted to finding symmetric periodic solutions by calculus of variations methods. The main examples treated in this text are the N-body problem and various specialized problems like the restricted three-body problem. The theory of the N-body problem is used to illustrate the general theory. Some of the topics covered are the classical integrals and reduction, central configurations, the existence of periodic solutions by continuation and variational methods, stability and instability of the Lagrange triangular point. Ken Meyer is an emeritus professor at the University of Cincinnati, Glen Hall is an associate professor at Boston University, and Dan Offin is a professor at Queen's University |
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| 記述事項: | L'impression du document génère 400 p. Description d'après consultation du 04 juillet 2011 Titre provenant de l'écran-titre Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2009 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| フォーマット: | Nécessite un lecteur de fichier PDF |
| 書誌: | Bibliogr. Index |
| ISBN: | 9780387097244 |
| ISSN: | 2196-968X |
| アクセス: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |