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  • Book
  • © 1988

Singularities and Groups in Bifurcation Theory

Volume II

Authors:

  1. Martin Golubitsky

    1. Mathematics Department, University of Houston, Houston, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Ian Stewart

    1. Mathematics Institute, University of Warwick, Coventry, England

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. David G. Schaeffer

    1. Mathematics Department, Duke University, Durham, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Mathematical Sciences (AMS, volume 69)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xvi
    PDF

  2. Introduction

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 1-22

  3. Group-Theoretic Preliminaries

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 23-66

  4. Symmetry-Breaking in Steady-State Bifurcation

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 67-140

  5. The Planar Bénard Problem

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 141-163

  6. Equivariant Normal Forms

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 164-207

  7. Equivariant Unfolding Theory

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 208-246

  8. The Traction Problem for Mooney—Rivlin Material

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 247-257

  9. Symmetry-Breaking in Hopf Bifurcation

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 258-323

  10. Hopf Bifurcation with O(2) Symmetry

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 324-362

  11. Further Examples of Hopf Bifurcation with Symmetry

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 363-411

  12. Mode Interactions

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 412-445

  13. Mode Interactions with O(2) Symmetry

    • Martin Golubitsky, Ian Stewart, David G. Schaeffer
    Pages 446-484

  14. The Taylor—Couette System

    • William F. Langford
    Pages 485-512

  15. Back Matter

    Pages 513-536
    PDF
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About this book

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.
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Keywords

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Authors and Affiliations

  • Mathematics Department, University of Houston, Houston, USA

    Martin Golubitsky

  • Mathematics Institute, University of Warwick, Coventry, England

    Ian Stewart

  • Mathematics Department, Duke University, Durham, USA

    David G. Schaeffer

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Bibliographic Information

  • Book Title: Singularities and Groups in Bifurcation Theory

  • Book Subtitle: Volume II

  • Authors: Martin Golubitsky, Ian Stewart, David G. Schaeffer

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-4574-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1988

  • Hardcover ISBN: 978-0-387-96652-6Published: 24 June 1988

  • Softcover ISBN: 978-1-4612-8929-6Published: 08 October 2011

  • eBook ISBN: 978-1-4612-4574-2Published: 06 December 2012

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XVI, 536

  • Topics: Group Theory and Generalizations

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Buy it now

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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