Computer algebra methods for equivariant dynamical systems
著者
書誌事項
Computer algebra methods for equivariant dynamical systems
(Lecture notes in mathematics, 1728)
Springer-Verlag, c2000
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注記
Includes bibliographical references (p. [139]-149) and index
内容説明・目次
内容説明
This book starts with an overview of the research of Groebner 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.
目次
Groebner bases.- Algorithms for the computation of invariants and equivariants.- Symmetric bifurcation theory.- 4. Orbit space reduction.
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