Skip to main content
SpringerLink
Log in
Book cover

Global Bifurcation of Periodic Solutions with Symmetry

  • Book
  • © 1988

Overview

Authors:
  1. Bernold Fiedler
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1309)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Introduction

    • Bernold Fiedler
    Pages 1-14

  3. Main results

    • Bernold Fiedler
    Pages 15-26

  4. No symmetry — a survey

    • Bernold Fiedler
    Pages 27-34

  5. Virtual symmetry

    • Bernold Fiedler
    Pages 35-47

  6. Generic local theory

    • Bernold Fiedler
    Pages 48-67

  7. Generic global theory

    • Bernold Fiedler
    Pages 68-83

  8. General global theory

    • Bernold Fiedler
    Pages 84-91

  9. Applications

    • Bernold Fiedler
    Pages 92-105

  10. Discussion

    • Bernold Fiedler
    Pages 106-115

  11. Appendix on genericity

    • Bernold Fiedler
    Pages 116-134

  12. Back Matter

    Pages 135-144
    Download chapter PDF
Back to top

Keywords

About this book

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.

Bibliographic Information

  • Book Title: Global Bifurcation of Periodic Solutions with Symmetry

  • Authors: Bernold Fiedler

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0082943

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-19234-3Published: 11 May 1988

  • eBook ISBN: 978-3-540-39150-0Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 154

  • Topics: Analysis, Theoretical, Mathematical and Computational Physics

Publish with us

Policies and ethics

Back to top

Search

Navigation