The Resource Computer Algebra Methods for Equivariant Dynamical Systems, by Karin Gatermann, (electronic resource)

Computer Algebra Methods for Equivariant Dynamical Systems, by Karin Gatermann, (electronic resource)

Label
Computer Algebra Methods for Equivariant Dynamical Systems
Title
Computer Algebra Methods for Equivariant Dynamical Systems
Statement of responsibility
by Karin Gatermann
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Gatermann, Karin
Dewey number
  • 510 s
  • 515/.352
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
0NoKjLaGNrk
Image bit depth
0
Language note
English
LC call number
QA150-272
Literary form
non fiction
Series statement
Lecture Notes in Mathematics,
Series volume
1728
http://library.link/vocab/subjectName
  • Algebra
  • Computer science
  • Global analysis (Mathematics)
  • Global analysis
  • Algebra
  • Mathematics of Computing
  • Computational Science and Engineering
  • Math Applications in Computer Science
  • Analysis
  • Global Analysis and Analysis on Manifolds
Label
Computer Algebra Methods for Equivariant Dynamical Systems, by Karin Gatermann, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Gröbner bases: Buchberger's algorithm -- The consequence of grading -- Definitions and the relation to Gröbner bases -- Computation of a Hilbert series -- The Hilbert series driven Buchberger algorithm -- The computation with algebraic extensions -- Detection of Gröbner 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
Dimensions
unknown
Edition
1st ed. 2000.
Extent
1 online resource (XVIII, 162 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540465195
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/BFb0104059
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000437286
  • (SSID)ssj0000322087
  • (PQKBManifestationID)12125875
  • (PQKBTitleCode)TC0000322087
  • (PQKBWorkID)10281231
  • (PQKB)11714861
  • (DE-He213)978-3-540-46519-5
  • (EXLCZ)991000000000437286
Label
Computer Algebra Methods for Equivariant Dynamical Systems, by Karin Gatermann, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Gröbner bases: Buchberger's algorithm -- The consequence of grading -- Definitions and the relation to Gröbner bases -- Computation of a Hilbert series -- The Hilbert series driven Buchberger algorithm -- The computation with algebraic extensions -- Detection of Gröbner 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
Dimensions
unknown
Edition
1st ed. 2000.
Extent
1 online resource (XVIII, 162 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540465195
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/BFb0104059
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000437286
  • (SSID)ssj0000322087
  • (PQKBManifestationID)12125875
  • (PQKBTitleCode)TC0000322087
  • (PQKBWorkID)10281231
  • (PQKB)11714861
  • (DE-He213)978-3-540-46519-5
  • (EXLCZ)991000000000437286

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