Computer Algebra Methods for Equivariant Dynamical Systems
This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables...
সংরক্ষণ করুন:
| অন্যান্য লেখক: | |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| মালা: | Lecture notes in mathematics
1728 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Computer algebra methods for equivariant dynamical systems, Karin Gatermann, 2000, Berlin, Springer, 1 vol. (XI-153 p.), Lecture notes in mathematics, 3-540-67161-7 • Computer Algebra Methods for Equivariant Dynamical Systems, Texte imprimé, 9783662199626 |
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| 245 | 0 | 0 | |a Computer Algebra Methods for Equivariant Dynamical Systems |c Karin Gatermann. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1728 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Gröbner bases: Buchberger's algorithm -- The consequence of grading -- Definitions and the relation to Gröbner bases -- Computation of a Hilbert series -- The Hilbert series driven Buchberger algorithm -- The computation with algebraic extensions -- Detection of Gröbner bases -- Dynamic Buchberger algorithm -- Elimination -- Algorithms of the computation of invariants and equivariants: Using the Hilbert series -- Invariants -- Equivariants -- Using the nullcone -- Using a homogeneous system of parameters -- Computing uniqueness -- Symmetric bifurcation theory -- Local bifurcation analysis -- An example of secondary Hopf bifurcation -- Orbit space reduction -- Exact computation of steady states -- Differential equations on the orbit space -- Using Noether normalization -- Further reading -- References -- Index. | |
| 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 starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics. This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics. | ||
| 650 | |a Algèbre | ||
| 650 | |a Systèmes dynamiques | ||
| 650 | |a Dynamique différentiable | ||
| 650 | |a Informatique |x Mathématiques | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Bases de Gröbner | ||
| 700 | 1 | |a Gatermann, Karin, |d 1961-2005. |4 edt | |
| 776 | 0 | |0 066771455 |t Computer algebra methods for equivariant dynamical systems |f Karin Gatermann |d 2000 |c Berlin |n Springer |p 1 vol. (XI-153 p.) |s Lecture notes in mathematics |z 3-540-67161-7 | |
| 776 | 0 | |t Computer Algebra Methods for Equivariant Dynamical Systems |b Texte imprimé |z 9783662199626 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0104059 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-VXBP27VN-Q |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750661186 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0104059 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754010759 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0104059 |z Accès INSA CVL | |
| 997 | |0 970631 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||