Singularity Theory and Equivariant Symplectic Maps
The monograph is a study of the local bifurcations of multiparameter symplectic maps of arbitrary dimension in the neighborhood of a fixed point.The problem is reduced to a study of critical points of an equivariant gradient bifurcation problem, using the correspondence between orbits ofa symplectic...
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| Autors principals: | , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1558 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Singularity theory and equivariant symplectic maps, Thomas J. Bridges, Jacques E. Furter, Berlin, Springer-Verlag, 1993, 1 vol. (VI-226 p.), Lecture notes in mathematics, 3-540-57296-1 • Singularity Theory and Equivariant Symplectic Maps, Texte imprimé, 9783662180600 |
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| 100 | 1 | |a Bridges, Thomas J., |d 1955- | |
| 245 | 1 | 0 | |a Singularity Theory and Equivariant Symplectic Maps |c Thomas J. Bridges, Jacques E. Furter. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1558 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Generic bifurcation of periodic points -- Singularity theory for equivariant gradient bifurcation problems -- Classification of Zq-equivariant gradient bifurcation problems -- Period-3 points of the generalized standard map -- Classification of Dq-equivariant gradient bifurcation problems -- Reversibility and degenerate bifurcation of period-q points of multiparameter maps -- Periodic points of equivariant symplectic maps -- Collision of multipliers at rational points for symplectic maps -- Equivariant maps and the collision of multipliers. | |
| 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 The monograph is a study of the local bifurcations of multiparameter symplectic maps of arbitrary dimension in the neighborhood of a fixed point.The problem is reduced to a study of critical points of an equivariant gradient bifurcation problem, using the correspondence between orbits ofa symplectic map and critical points of an action functional. New results onsingularity theory for equivariant gradient bifurcation problems are obtained and then used to classify singularities of bifurcating period-q points. Of particular interest is that a general framework for analyzing group-theoretic aspects and singularities of symplectic maps (particularly period-q points) is presented. Topics include: bifurcations when the symplectic map has spatial symmetry and a theory for the collision of multipliers near rational points with and without spatial symmetry. The monograph also includes 11 self-contained appendices each with a basic result on symplectic maps. The monograph will appeal to researchers and graduate students in the areas of symplectic maps, Hamiltonian systems, singularity theory and equivariant bifurcation theory. | ||
| 650 | |a Singularités (mathématiques) | ||
| 650 | |a Théorie de la bifurcation | ||
| 650 | |a Analyse mathématique | ||
| 700 | 1 | |a Furter, Jacques E., |d 1957- |4 aut | |
| 776 | 0 | |0 017620074 |t Singularity theory and equivariant symplectic maps |f Thomas J. Bridges, Jacques E. Furter |c Berlin |n Springer-Verlag |d 1993 |p 1 vol. (VI-226 p.) |s Lecture notes in mathematics |z 3-540-57296-1 | |
| 776 | 0 | |t Singularity Theory and Equivariant Symplectic Maps |b Texte imprimé |z 9783662180600 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0073471 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-BWDPWV4B-P |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750676388 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0073471 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754024733 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0073471 |z Accès INSA CVL | |
| 997 | |0 969216 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||