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...
שמור ב:
| Auteurs principaux: | , , |
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| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
New York, NY :
Springer New York
2009.
Cham : Springer Nature |
| מהדורה: | 2nd ed. 2009. |
| סדרה: | Applied Mathematical Sciences
90 |
| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
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 |
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| 100 | 1 | |a Hall, Glen R. | |
| 245 | 1 | 0 | |a Introduction to hamiltonian dynamical systems and the n-body problem |c by Kenneth Meyer, Glen Hall, Dan Offin. |
| 250 | |a 2nd ed. 2009. | ||
| 256 | |a Données textuelles | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2009. | ||
| 490 | 0 | |a Applied Mathematical Sciences |v 90 |x 2196-968X | |
| 500 | |a L'impression du document génère 400 p. | ||
| 500 | |a Description d'après consultation du 04 juillet 2011 | ||
| 500 | |a Titre provenant de l'écran-titre | ||
| 500 | |a Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2009 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Hamiltonian Systems Equations of Celestial Mechanics Linear Hamiltonian Systems Topics in Linear Theory Exterior Algebra and Differential Forms Symplectic Transformations Special Coordinates Geometric Theory Continuation of Solutions Normal Forms Bifurcations of Periodic Orbits Variational Techniques Stability and KAM Theory Twist Maps and Invariant Circle | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |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 | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 650 | |a Systèmes hamiltoniens | ||
| 650 | |a Problème des N corps | ||
| 700 | 1 | |a Meyer, Kenneth Ray, |d 1937- |4 aut | |
| 700 | 1 | |a Offin, Daniel C., |d 1953- |4 aut | |
| 776 | 0 | |0 137253591 |t Introduction to Hamiltonian dynamical systems and the N-body problem |f Kenneth R. Meyer, Glenn R. Hall, Dan Offin |e 2nd ed. |c New York |n Springer Science+Business Media |d 2009 |p 1 vol. (XIII-399 p.) |s Applied mathematical sciences |z 978-0-387-09723-7 | |
| 776 | 0 | |t Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |b Texte imprimé |z 9781441918864 | |
| 776 | 0 | |t Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |b Texte imprimé |z 9780387097237 | |
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