E-Book, Englisch, Band 1728, 162 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Gatermann Computer Algebra Methods for Equivariant Dynamical Systems
Erscheinungsjahr 2007
ISBN: 978-3-540-46519-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1728, 162 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-46519-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.