Global bifurcation of periodic solutions with symmetry
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The work Global bifurcation of periodic solutions with symmetry represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Global bifurcation of periodic solutions with symmetry
Resource Information
The work Global bifurcation of periodic solutions with symmetry represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Global bifurcation of periodic solutions with symmetry
 Statement of responsibility
 Bernold Fiedler
 Title variation
 Periodic solutions with symmetry
 Subject

 Bifurcation theory
 Bifurcation theory
 Bifurcation theory
 Bifurcation, Théorie de la
 Differential equations  Numerical solutions
 Differential equations  Numerical solutions
 Differential equations  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Globale HopfVerzweigung
 Nichtlineares dynamisches System
 Nonlinear operators
 Nonlinear operators
 Nonlinear operators
 Opérateurs non linéaires
 Periodische Lösung
 Singularities (Mathematics)
 Singularities (Mathematics)
 Singularities (Mathematics)
 Singularités (Mathématiques)
 Équations aux dérivées partielles  Solutions numériques
 Équations différentielles  Solutions numériques
 Bifurcatie
 Language
 eng
 Summary
 This largely selfcontained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some builtin 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
 Cataloging source
 SPLNM
 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
Context
Context of Global bifurcation of periodic solutions with symmetryWork of
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