Computer algebra methods for equivariant dynamical systems [electronic resource] / Karin Gatermann
- Author
- Gatermann, Karin, 1961-
- Published
- Berlin ; New York : Springer, [2000]
- Copyright Date
- ©2000
- Physical Description
- xi, 153 pages : illustrations ; 24 cm.
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- License restrictions may limit access.
- Contents
- Machine generated contents note: 1.Grobner bases -- 1.1.Buchberger's algorithm -- 1.2.The consequence of grading -- 1.3.Detection of Grobner bases -- 1.4.Dynamic Buchberger algorithm -- 1.5.Elimination -- 2.Algorithms for the computation of invariants and equivariants -- 2.1.Using the Hilbert series -- 2.2.Using the nullcone -- 2.3.Using a homogeneous system of parameters -- 2.4.Computing uniqueness -- 3.Symmetric bifurcation theory -- 3.1.Local bifurcation analysis -- 3.2.An example of secondary Hopf bifurcation -- 4.Orbit space reduction -- 4.1.Exact computation of steady states -- 4.2.Differential equations on the orbit space -- 4.3.Using Noether normalization.
- Subject(s)
- Genre(s)
- ISBN
- 3540671617 (acid-free paper)
- Bibliography Note
- Includes bibliographical references (pages [139]-149) and index.
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