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...

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijät: Sanders, Jan Anton, 19..-, Verhulst, Ferdinand, 1939- (Tekijä), Murdock, James A. (Tekijä), Verhulst, Ferdinand (Tekijä), Murdock, James (Tekijä)
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: New York, NY : Springer New York [20..].
Cham : Springer Nature
Painos:2nd ed.
Sarja:Applied Mathematical Sciences 59
Aiheet:
Linkit:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Huomautus: L'impression du document génère 451 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Numérisation de l'édition de New York : Springer, cop. 2007
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Averaging methods in nonlinear dynamical systems, J.A. Sanders, F. Verhulst, J. Murdock, 2nd ed., 2007, New York, Springer, 1 vol. (XXI- 431 p.), Applied mathematical sciences, 978-0-387-48916-2
• Averaging Methods in Nonlinear Dynamical Systems, Texte imprimé, 9780387516998
• Averaging methods in nonlinear dynamical systems, J.A. Sanders, F. Verhulst, J. Murdock, 2nd ed., 2007, New York, Springer, 1 vol. (XXI- 431 p.), Applied mathematical sciences, 978-0-387-48916-2
• Averaging methods in nonlinear dynamical systems, J.A. Sanders, F. Verhulst, J. Murdock, 2nd ed., 2007, New York, Springer, 1 vol. (XXI- 431 p.), Applied mathematical sciences, 978-0-387-48916-2
Sisällysluettelo:
  • 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