Skip to main content
SpringerLink
Log in
Birkhäuser

Bifurcation, Symmetry and Patterns

  • Book
  • © 2003

Overview

Editors:
  1. Jorge Buescu

    1. Departamento de Matemática Instituto Superior Técnico, Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Lisboa, Portugal

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Sofia B. S. D. Castro

    1. Centro de Matemática Aplicada Faculdade de Economia, Universidade do Porto, Porto, Portugal

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Ana Paula Silva Dias

    1. Centro de Matemática Departamento de Matemática Pura, Universidade do Porto Praça Gomes Teixeira Faculdade de Ciências Universidade do Porto, Porto, Portugal

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Isabel Salgado Labouriau

    1. Departamento de Matemática Aplicada, Centro de Matemática Aplicada, Porto, Portugal

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Contains theoretical and experimental work
  • New original results in the field

Part of the book series: Trends in Mathematics (TM)

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Invited Lectures

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Symmetry-Breaking as an Origin of Species

      • Ian Stewart, Toby Elmhirst, Jack Cohen
      Pages 3-54

    3. Bifurcation and Planar Pattern Formation for a Liquid Crystal

      • Martin Golubitsky, David Chillingworth
      Pages 55-66

    4. Patchwork Patterns: Dynamics on Unbounded Domains

      • Peter Ashwin
      Pages 67-74

    5. Persistent Ergodicity and Stably Ergodic SRB Attractors in Equivariant Dynamics

      • Michael Field
      Pages 75-86

    6. Bistability of Vortex Modes in Annular Thermoconvection

      • Dan D. Rusu, William F. Langford
      Pages 87-99

    7. Secondary Instabilities of Hexagons: A Bifurcation Analysis of Experimentally Observed Faraday Wave Patterns

      • A. M. Rucklidge, M. Silber, J. Fineberg
      Pages 101-114

  3. Contributed Papers

    1. Front Matter

      Pages 115-115
      Download chapter PDF

    2. Spatially Resonant Interactions in Annular Convection

      • Arantxa Alonso, Marta Net, Juan Sánchez
      Pages 117-122

    3. Hopf Bifurcations on Cubic Lattices

      • T. K. Callahan
      Pages 123-127

    4. Normal Forms of Dynamical Systems and Bifurcations

      • Giampaolo Cicogna
      Pages 129-134

    5. One-dimensional Pattern Formation in Systems with a Conserved Quantity

      • S. M. Cox, P. C. Matthews
      Pages 135-140

    6. Invariance and Symmetry in a Year-class Model

      • O. Diekmann, Stephen van Gils
      Pages 141-150

    7. The Accumulation of Boundary Doubling for Modified Tent Maps

      • Paul Glendinning
      Pages 151-155

    8. Piecewise Rotations: Bifurcations, Attractors and Symmetries

      • Arek Goetz, Miguel Mendes
      Pages 157-165

    9. Bound States of Asymmetric Hot Spots in Solid Flame Propagation

      • A Bayliss, B. J. Matkowsky, A. P. Aldushin
      Pages 167-174

    10. Pattern Formation with Galilean Symmetry

      • P. C. Matthews, S. M. Cox
      Pages 175-180

    11. Semigroups of Functions and the Structure of Stationary Measures in Systems which Contract-on-average

      • Matthew Nicol, Nikita Sidorov, David Broomhead
      Pages 181-187

    12. Rayleigh-Bénard Convection with Experimental Boundary Conditions

      • Joana Prat, Isabel Mercader, Edgar Knobloch
      Pages 189-195
Back to top

Keywords

About this book

This book represents the latest developments on both the theory and applications of bifurcations with symmetry. It includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.

Editors and Affiliations

  • Departamento de Matemática Instituto Superior Técnico, Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Lisboa, Portugal

    Jorge Buescu

  • Centro de Matemática Aplicada Faculdade de Economia, Universidade do Porto, Porto, Portugal

    Sofia B. S. D. Castro

  • Centro de Matemática Departamento de Matemática Pura, Universidade do Porto Praça Gomes Teixeira Faculdade de Ciências Universidade do Porto, Porto, Portugal

    Ana Paula Silva Dias

  • Departamento de Matemática Aplicada, Centro de Matemática Aplicada, Porto, Portugal

    Isabel Salgado Labouriau

Bibliographic Information

  • Book Title: Bifurcation, Symmetry and Patterns

  • Editors: Jorge Buescu, Sofia B. S. D. Castro, Ana Paula Silva Dias, Isabel Salgado Labouriau

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-7982-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2003

  • Hardcover ISBN: 978-3-7643-7020-6Published: 24 July 2003

  • Softcover ISBN: 978-3-0348-9642-9Published: 01 November 2012

  • eBook ISBN: 978-3-0348-7982-8Published: 06 December 2012

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XIII, 210

  • Topics: Dynamical Systems and Ergodic Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation