The Resource Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases, by Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter, (electronic resource)

Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases, by Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter, (electronic resource)

Label
Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases
Title
Bifurcations in Hamiltonian Systems
Title remainder
Computing Singularities by Gröbner Bases
Statement of responsibility
by Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
The authors consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems. They restrict themselves to the case were the following simplification is possible. Near the equilibrium or (quasi-) periodic solution under consideration the linear part allows approximation by a normalized Hamiltonian system with a torus symmetry. It is assumed that reduction by this symmetry leads to a system with one degree of freedom. The volume focuses on two such reduction methods, the planar reduction (or polar coordinates) method and the reduction by the energy momentum mapping. The one-degree-of-freedom system then is tackled by singularity theory, where computer algebra, in particular, Gröbner basis techniques, are applied. The readership addressed consists of advanced graduate students and researchers in dynamical systems
Member of
http://library.link/vocab/creatorName
Broer, Henk
Image bit depth
0
LC call number
QA614-614.97
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Hoveijn, Igor.
  • Lunter, Gerton.
  • Vegter, Gert.
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1806
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis
  • Computer science
  • Mathematics
  • Global Analysis and Analysis on Manifolds
  • Computational Science and Engineering
Label
Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases, by Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- I. Applications: Methods I: Planar reduction; Method II: The energy-momentum map -- II. Theory: Birkhoff Normalization; Singularity Theory; Gröbner bases and Standard bases; Computing normalizing transformations -- Appendix A.1. Classification of term orders; Appendix A.2. Proof of Proposition 5.8 -- References -- Index
Dimensions
unknown
Extent
XVI, 172 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540363989
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b10414
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-36398-9
Label
Bifurcations in Hamiltonian Systems : Computing Singularities by Gröbner Bases, by Henk Broer, Igor Hoveijn, Gerton Lunter, Gert Vegter, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- I. Applications: Methods I: Planar reduction; Method II: The energy-momentum map -- II. Theory: Birkhoff Normalization; Singularity Theory; Gröbner bases and Standard bases; Computing normalizing transformations -- Appendix A.1. Classification of term orders; Appendix A.2. Proof of Proposition 5.8 -- References -- Index
Dimensions
unknown
Extent
XVI, 172 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540363989
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b10414
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-36398-9

Library Locations

  • African Studies LibraryBorrow it
    771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Alumni Medical LibraryBorrow it
    72 East Concord Street, Boston, MA, 02118, US
    42.336388 -71.072393
  • Astronomy LibraryBorrow it
    725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US
    42.350259 -71.105717
  • Fineman and Pappas Law LibrariesBorrow it
    765 Commonwealth Avenue, Boston, MA, 02215, US
    42.350979 -71.107023
  • Frederick S. Pardee Management LibraryBorrow it
    595 Commonwealth Avenue, Boston, MA, 02215, US
    42.349626 -71.099547
  • Howard Gotlieb Archival Research CenterBorrow it
    771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Mugar Memorial LibraryBorrow it
    771 Commonwealth Avenue, Boston, MA, 02215, US
    42.350723 -71.108227
  • Music LibraryBorrow it
    771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Pikering Educational Resources LibraryBorrow it
    2 Silber Way, Boston, MA, 02215, US
    42.349804 -71.101425
  • School of Theology LibraryBorrow it
    745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350494 -71.107235
  • Science & Engineering LibraryBorrow it
    38 Cummington Mall, Boston, MA, 02215, US
    42.348472 -71.102257
  • Stone Science LibraryBorrow it
    675 Commonwealth Avenue, Boston, MA, 02445, US
    42.350103 -71.103784
Processing Feedback ...