The Resource Computer algebra methods for equivariant dynamical systems, Karin Gatermann
Computer algebra methods for equivariant dynamical systems, Karin Gatermann
Resource Information
The item Computer algebra methods for equivariant dynamical systems, Karin Gatermann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Computer algebra methods for equivariant dynamical systems, Karin Gatermann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (xi, 153 pages)
- 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
- Isbn
- 9783540465195
- Label
- Computer algebra methods for equivariant dynamical systems
- Title
- Computer algebra methods for equivariant dynamical systems
- Statement of responsibility
- Karin Gatermann
- Subject
-
- Algebra -- Data processing
- Algebra -- Data processing
- Algebra -- Data processing
- Algebra comutativa
- Algoritmen
- Algèbre -- Informatique
- Computeralgebra
- Computermethoden
- Differentiable dynamical systems
- Differentiable dynamical systems
- Differentiable dynamical systems
- Dynamique différentiable
- Dynamische systemen
- Dynamisches System
- Gröbner bases
- Gröbner bases
- Gröbner bases
- Gröbner, Bases de
- Gröbner-Basis
- Äquivariantes Vektorfeld
- Algebra
- 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
- 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
- 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
- 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
Subject
- Algebra -- Data processing
- Algebra -- Data processing
- Algebra -- Data processing
- Algebra comutativa
- Algoritmen
- Algèbre -- Informatique
- Computeralgebra
- Computermethoden
- Differentiable dynamical systems
- Differentiable dynamical systems
- Differentiable dynamical systems
- Dynamique différentiable
- Dynamische systemen
- Dynamisches System
- Gröbner bases
- Gröbner bases
- Gröbner bases
- Gröbner, Bases de
- Gröbner-Basis
- Äquivariantes Vektorfeld
- Algebra
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Computer-algebra-methods-for-equivariant/1ObFU2VHAbY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Computer-algebra-methods-for-equivariant/1ObFU2VHAbY/">Computer algebra methods for equivariant dynamical systems, Karin Gatermann</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
