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Averaging Methods in Nonlinear Dynamical Systems
Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, correctio...
| Auteurs principaux : | , , |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Averaging Methods in Nonlinear Dynamical Systems / Jan A. Sanders, Ferdinand Verhulst, James Murdock. |
| Édition : | 2nd ed. |
| Publié : |
New York, NY :
Springer New York
, [20..] Cham : Springer Nature |
| Collection : | Applied mathematical sciences (Internet) ; 59 |
| Accès en ligne : |
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| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Reproduction de : | Numérisation de l'édition de New York : Springer, cop. 2007 |
| Contenu : | Basic Material and Asymptotics. Averaging: the Periodic Case. Methodology of Averaging. Averaging: the General Case. Attraction. Periodic Averaging and Hyperbolicity. Averaging over Angles. Passage Through Resonance. From Averaging to Normal Forms. Hamiltonian Normal Form Theory. Classical (First-Level) Normal Form Theory. Nilpotent (Classical) Normal Form. Higher-Level Normal Form Theory. The History of the Theory of Averaging. A 4-Dimensional Example of Hopf Bifurcation. Invariant Manifolds by Averaging. Some Elementary Exercises in Celestial Mechanics. On Averaging Methods for Partial Differential Equations |
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| Documents associés : | Autre format:
Averaging methods in nonlinear dynamical systems Autre format: Averaging Methods in Nonlinear Dynamical Systems Autre format: Averaging methods in nonlinear dynamical systems Autre format: Averaging methods in nonlinear dynamical systems |