Symmetry and perturbation theory in nonlinear dynamics
This book deals with the theory of Poincaré--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical syst...
Kaydedildi:
| Asıl Yazarlar: | , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture notes in physics. M, Monographs
57 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Symmetry and perturbation theory in nonlinear dynamics, Giampaolo Cicogna, Giuseppe Gaeta, 1999, Berlin, Springer, 1 vol. (XI-208 p.), Lecture notes in physics, 3-540-65904-8 • Symmetry and perturbation theory in nonlinear dynamics, Giampaolo Cicogna, Giuseppe Gaeta, 1999, Berlin, Springer, 1 vol. (XI-208 p.), Lecture notes in physics, 3-540-65904-8 • Symmetry and Perturbation Theory in Nonlinear Dynamics, Texte imprimé, 9783662142264 |
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| 100 | 1 | |a Cicogna, Giampaolo. | |
| 245 | 1 | 0 | |a Symmetry and perturbation theory in nonlinear dynamics |c Giampaolo Cicogna, Giuseppe Gaeta. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in physics. M, Monographs |v 57 |x 1619-3407 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Symmetry and Differential Equations -- Dynamical Systems -- Symmetries of Dynamical Systems -- Normal Forms and Symmetries for Dynamical Systems -- Normal Forms and Symmetries for Hamiltonian Systems -- Convergence of the Normalizing Transformations -- Invariant Manifolds -- Further Normalization -- Asymptotic Symmetries. | |
| 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 book deals with the theory of Poincaré--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting. | ||
| 650 | |a Symétrie (physique) | ||
| 650 | |a Perturbation (mathématiques) | ||
| 650 | |a Dynamique différentiable | ||
| 650 | |a Formes normales (mathématiques) | ||
| 700 | 1 | |a Gaeta, Giuseppe, |d 1959-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 052350355 |t Symmetry and perturbation theory in nonlinear dynamics |f Giampaolo Cicogna, Giuseppe Gaeta |d 1999 |c Berlin |n Springer |p 1 vol. (XI-208 p.) |s Lecture notes in physics |z 3-540-65904-8 | |
| 776 | 0 | |0 052350355 |t Symmetry and perturbation theory in nonlinear dynamics |f Giampaolo Cicogna, Giuseppe Gaeta |d 1999 |c Berlin |n Springer |p 1 vol. (XI-208 p.) |s Lecture notes in physics |z 3-540-65904-8 | |
| 776 | 0 | |t Symmetry and Perturbation Theory in Nonlinear Dynamics |b Texte imprimé |z 9783662142264 | |
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| 997 | |0 970451 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||