Global Bifurcation of Periodic Solutions with Symmetry
This largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry?...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1309 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Global bifurcation of periodic solutions with symmetry, Bernold Fiedler, 1988, Berlin, Springer-Verlag, 1 volume (VIII-144 pages), Lecture notes in mathematics, 3-540-19234-4 • Global Bifurcation of Periodic Solutions with Symmetry, Texte imprimé, 9783662174357 |
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| 100 | 1 | |a Fiedler, Bernold, |d 1956- | |
| 245 | 1 | 0 | |a Global Bifurcation of Periodic Solutions with Symmetry |c Bernold Fiedler. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1309 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Main results -- No symmetry a survey -- Virtual symmetry -- Generic local theory -- Generic global theory -- General global theory -- Applications -- Discussion -- Appendix on genericity. | |
| 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 largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience. | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Singularités (mathématiques) | ||
| 650 | |a Théorie de la bifurcation | ||
| 650 | |a Équations différentielles |x Solutions numériques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Opérateurs non linéaires | ||
| 776 | 0 | |0 020712022 |t Global bifurcation of periodic solutions with symmetry |f Bernold Fiedler |d 1988 |c Berlin |n Springer-Verlag |p 1 volume (VIII-144 pages) |s Lecture notes in mathematics |z 3-540-19234-4 | |
| 776 | 0 | |t Global Bifurcation of Periodic Solutions with Symmetry |b Texte imprimé |z 9783662174357 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0082943 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-DWH7LSHV-0 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750632186 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0082943 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753988666 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0082943 |z Accès INSA CVL | |
| 997 | |0 972863 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||