Computer Algebra Methods for Equivariant Dynamical Systems : Lecture Notes in Mathematics - Karin Gatermann

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Computer Algebra Methods for Equivariant Dynamical Systems

By: Karin Gatermann

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Paperback | 1 April 2000

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184 Pages

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22.86 x 15.24 x 0.64

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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.

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Grobner bases	p. 1
Buchberger's algorithm	p. 1
The consequence of grading	p. 13
Detection of Grobner bases	p. 31
Dynamic Buchberger algorithm	p. 39
Elimination	p. 42
Algorithms for the computation of invariants and equivariants	p. 47
Using the Hilbert series	p. 47
Using the nullcone	p. 67
Using a homogeneous system of parameters	p. 73
Computing uniqueness	p. 85
Symmetric bifurcation theory	p. 95
Local bifurcation analysis	p. 95
An example of secondary Hopf bifurcation	p. 99
Orbit space reduction	p. 105
Exact computation of steady states	p. 106
Differential equations on the orbit space	p. 114
Using Noether normalization	p. 116
Further Reading	p. 135
References	p. 139
Index	p. 151
Table of Contents provided by Blackwell. All Rights Reserved.

Computer Algebra Methods for Equivariant Dynamical Systems

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Paperback

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How to return your order

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