Coverart for item
The Resource Computer algebra methods for equivariant dynamical systems, Karin Gatermann

Computer algebra methods for equivariant dynamical systems, Karin Gatermann

Label
Computer algebra methods for equivariant dynamical systems
Title
Computer algebra methods for equivariant dynamical systems
Statement of responsibility
Karin Gatermann
Creator
Subject
Language
eng
Summary
This book starts with an overview of the research of Grbner 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
Member of
Cataloging source
COO
http://library.link/vocab/creatorDate
1961-
http://library.link/vocab/creatorName
Gatermann, Karin
Dewey number
  • 510 s
  • 515/.352
Illustrations
illustrations
Index
index present
Language note
English
LC call number
  • QA3
  • QA155.7.E4
LC item number
.L28 no. 1728
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1728
http://library.link/vocab/subjectName
  • Algebra
  • Gröbner bases
  • Differentiable dynamical systems
  • Algèbre
  • Gröbner, Bases de
  • Dynamique différentiable
  • Algebra
  • Differentiable dynamical systems
  • Gröbner bases
  • Computeralgebra
  • Algebra
  • Gröbner-Basis
  • Computermethoden
  • Dynamisches System
  • Dynamische systemen
  • Äquivariantes Vektorfeld
  • Algoritmen
  • Algebra comutativa
Label
Computer algebra methods for equivariant dynamical systems, Karin Gatermann
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 139-149) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Grbner bases: Buchberger's algorithm -- The consequence of grading -- Definitions and the relation to Grbner bases -- Computation of a Hilbert series -- The Hilbert series driven Buchberger algorithm -- The computation with algebraic extensions -- Detection of Grbner bases -- Dynamic Buchberger algorithm -- Elimination -- Algorithms of the computation of invariants and equivariants: Using the Hilbert series -- Invariants -- Equivariants -- Using the nullcone -- Using a homogeneous system of parameters -- Computing uniqueness -- Symmetric bifurcation theory -- Local bifurcation analysis -- An example of secondary Hopf bifurcation -- Orbit space reduction -- Exact computation of steady states -- Differential equations on the orbit space -- Using Noether normalization -- Further reading -- References -- Index
Control code
162121579
Dimensions
unknown
Extent
1 online resource (xi, 153 pages)
Form of item
online
Isbn
9783540465195
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/BFb0104059
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)162121579
Label
Computer algebra methods for equivariant dynamical systems, Karin Gatermann
Publication
Bibliography note
Includes bibliographical references (pages 139-149) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Grbner bases: Buchberger's algorithm -- The consequence of grading -- Definitions and the relation to Grbner bases -- Computation of a Hilbert series -- The Hilbert series driven Buchberger algorithm -- The computation with algebraic extensions -- Detection of Grbner bases -- Dynamic Buchberger algorithm -- Elimination -- Algorithms of the computation of invariants and equivariants: Using the Hilbert series -- Invariants -- Equivariants -- Using the nullcone -- Using a homogeneous system of parameters -- Computing uniqueness -- Symmetric bifurcation theory -- Local bifurcation analysis -- An example of secondary Hopf bifurcation -- Orbit space reduction -- Exact computation of steady states -- Differential equations on the orbit space -- Using Noether normalization -- Further reading -- References -- Index
Control code
162121579
Dimensions
unknown
Extent
1 online resource (xi, 153 pages)
Form of item
online
Isbn
9783540465195
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/BFb0104059
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)162121579

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