Introduction to Hamiltonian Dynamical Systems and the N-Body Problem:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1992
|
| Schriftenreihe: | Applied Mathematical Sciences
90 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XII, 294 p) |
| ISBN: | 9781475740738 9781475740752 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4757-4073-8 |
Internformat
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| 245 | 1 | 0 | |a Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |c by Kenneth R. Meyer, Glen R. Hall |
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| 500 | |a 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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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-4073-8 |
| format | Electronic eBook |
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| id | DE-604.BV042421567 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475740738 9781475740752 |
| issn | 0066-5452 |
| language | English |
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| physical | 1 Online-Ressource (XII, 294 p) |
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| spelling | Meyer, Kenneth R. Verfasser aut Introduction to Hamiltonian Dynamical Systems and the N-Body Problem by Kenneth R. Meyer, Glen R. Hall New York, NY Springer New York 1992 1 Online-Ressource (XII, 294 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 90 0066-5452 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 Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Vielkörperproblem (DE-588)4078900-7 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Vielkörperproblem (DE-588)4078900-7 s 1\p DE-604 Hall, Glen R. Sonstige oth https://doi.org/10.1007/978-1-4757-4073-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Meyer, Kenneth R. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Hamiltonsches System (DE-588)4139943-2 gnd Vielkörperproblem (DE-588)4078900-7 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4078900-7 |
| title | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |
| title_auth | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |
| title_exact_search | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |
| title_full | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem by Kenneth R. Meyer, Glen R. Hall |
| title_fullStr | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem by Kenneth R. Meyer, Glen R. Hall |
| title_full_unstemmed | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem by Kenneth R. Meyer, Glen R. Hall |
| title_short | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |
| title_sort | introduction to hamiltonian dynamical systems and the n body problem |
| topic | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Hamiltonsches System (DE-588)4139943-2 gnd Vielkörperproblem (DE-588)4078900-7 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Hamiltonsches System Vielkörperproblem |
| url | https://doi.org/10.1007/978-1-4757-4073-8 |
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