Coverart for item
The Resource Global bifurcation of periodic solutions with symmetry, Bernold Fiedler

Global bifurcation of periodic solutions with symmetry, Bernold Fiedler

Label
Global bifurcation of periodic solutions with symmetry
Title
Global bifurcation of periodic solutions with symmetry
Statement of responsibility
Bernold Fiedler
Title variation
Periodic solutions with symmetry
Creator
Subject
Language
eng
Summary
This largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience
Member of
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Fiedler, Bernold
Dewey number
  • 510 s
  • 514/.74
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA372
LC item number
.L28 no. 1309
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1309
http://library.link/vocab/subjectName
  • Bifurcation theory
  • Singularities (Mathematics)
  • Nonlinear operators
  • Differential equations
  • Differential equations, Partial
  • Bifurcation, Théorie de la
  • Singularités (Mathématiques)
  • Opérateurs non linéaires
  • Équations différentielles
  • Équations aux dérivées partielles
  • Bifurcation theory
  • Differential equations
  • Differential equations, Partial
  • Nonlinear operators
  • Singularities (Mathematics)
  • Bifurcatie
  • Nichtlineares dynamisches System
  • Periodische Lösung
  • Globale Hopf-Verzweigung
Label
Global bifurcation of periodic solutions with symmetry, Bernold Fiedler
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 135-140) 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
Introduction -- Main Results -- No Symmetry -- A Survey -- Virtual Symmetry -- Generic Local Theory -- Generic Global Theory -- General Global Theory -- Applications -- Discussion -- Appendix on Genericity -- References -- Subject Index
Control code
294802397
Dimensions
unknown
Extent
1 online resource (viii, 144 pages)
Form of item
online
Isbn
9783540391500
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294802397
Label
Global bifurcation of periodic solutions with symmetry, Bernold Fiedler
Publication
Bibliography note
Includes bibliographical references (pages 135-140) 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
Introduction -- Main Results -- No Symmetry -- A Survey -- Virtual Symmetry -- Generic Local Theory -- Generic Global Theory -- General Global Theory -- Applications -- Discussion -- Appendix on Genericity -- References -- Subject Index
Control code
294802397
Dimensions
unknown
Extent
1 online resource (viii, 144 pages)
Form of item
online
Isbn
9783540391500
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294802397

Library Locations

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      38.944491 -92.326012
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