Computer Algebra Methods for Equivariant Dynamical Systems

Karin Gatermann (eds.)3540671617, 9783540671619

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.

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Table of contents :
Gröbner bases….Pages 1-45
Algorithms for the computation of invariants and equivariants….Pages 47-93
Symmetric bifurcation theory….Pages 95-103
4. Orbit space reduction….Pages 105-134