The Resource Bifurcation without parameters, Stefan Liebscher

Bifurcation without parameters, Stefan Liebscher

Label
Bifurcation without parameters
Title
Bifurcation without parameters
Statement of responsibility
Stefan Liebscher
Creator
Author
Subject
Genre
Language
eng
Summary
Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of center-manifold reductions and normal-form calculations will help the reader to appreciate the presentation. Bifurcations without parameters occur along manifolds of equilibria, at points where normal hyperbolicity of the manifold is violated. The general theory, illustrated by many applications, aims at a geometric understanding of the local dynamics near the bifurcation points
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Liebscher, Stefan
Dewey number
515/.392
Illustrations
illustrations
Index
no index present
LC call number
QA380
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture Notes in Mathematics,
Series volume
2117
http://library.link/vocab/subjectName
  • Bifurcation theory
  • Manifolds (Mathematics)
  • Bifurcation theory
  • Manifolds (Mathematics)
  • Mathematics
  • Physical Sciences & Mathematics
  • Calculus
  • Mathematics
  • Mathematics
  • Differential calculus & equations
  • Nonlinear science
Label
Bifurcation without parameters, Stefan Liebscher
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-10777-6
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Methods & Concepts -- Cosymmetries -- Codimension One -- Transcritical Bifurcation -- Poincar ́e-Andronov-Hopf Bifurcation -- Application: Decoupling in Networks -- Application: Oscillatory Profiles -- Codimension Two -- egenerate Transcritical Bifurcation -- egenerate Andronov-Hopf Bifurcation -- Bogdanov-Takens Bifurcation -- Zero-Hopf Bifurcation -- Double-Hopf Bifurcation -- Application: Cosmological Models -- Application: Planar Fluid Flow -- Beyond Codimension Two -- Codimension-One Manifolds of Equilibria -- Summary & Outlook
Dimensions
unknown
Extent
1 online resource (xii, 142 pages)
File format
unknown
Form of item
online
Isbn
9783319107769
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-10777-6
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)898067286
  • (OCoLC)ocn898067286
Label
Bifurcation without parameters, Stefan Liebscher
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-10777-6
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Methods & Concepts -- Cosymmetries -- Codimension One -- Transcritical Bifurcation -- Poincar ́e-Andronov-Hopf Bifurcation -- Application: Decoupling in Networks -- Application: Oscillatory Profiles -- Codimension Two -- egenerate Transcritical Bifurcation -- egenerate Andronov-Hopf Bifurcation -- Bogdanov-Takens Bifurcation -- Zero-Hopf Bifurcation -- Double-Hopf Bifurcation -- Application: Cosmological Models -- Application: Planar Fluid Flow -- Beyond Codimension Two -- Codimension-One Manifolds of Equilibria -- Summary & Outlook
Dimensions
unknown
Extent
1 online resource (xii, 142 pages)
File format
unknown
Form of item
online
Isbn
9783319107769
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-10777-6
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)898067286
  • (OCoLC)ocn898067286

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