Computer Algebra Methods for Equivariant Dynamical Systems

ISBN-13: 9783540671619 / Angielski / Miękka / 2000 / 162 str.

Karin Gatermann

Opis

This book starts with an overview of the research of Grobner 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.

Spis treści

Gröbner bases.- Algorithms for the computation of invariants and equivariants.- Symmetric bifurcation theory.- 4. Orbit space reduction.