Progress in Mathematics

The Symmetry Perspective

From Equilibrium to Chaos in Phase Space and Physical Space

Authors: Golubitsky, Martin, Stewart, Ian

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Hardcover $109.99
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Softcover $74.99
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About this Textbook

Pattern formation in physical systems is one of the major research frontiers of mathematics. A central theme of this book is that many instances of pattern formation can be understood within a single framework: symmetry.

The book applies symmetry methods to increasingly complex kinds of dynamic behavior: equilibria, period-doubling, time-periodic states, homoclinic and heteroclinic orbits, and chaos. Examples are drawn from both ODEs and PDEs. In each case the type of dynamical behavior being studied is motivated through applications, drawn from a wide variety of scientific disciplines ranging from theoretical physics to evolutionary biology. An extensive bibliography is provided.

Reviews

From the reviews:

"This book was awarded the Ferran Sunyier i Balaguer Prize for 2001, and I am sure that it will be a very useful resource not only for researchers in this area but also for those who want to obtain the benefits of using this approach in applications." --Bulletin of the American Mathematical Society (Review of hardcover edition)

[The] rich collection of examples makes the book … extremely useful for motivation and for spreading the ideas to a large Community. This [review] is far from complete and cannot reflect the authors’ unique way of presenting examples, asking questions, giving answers or forming an intuition.”(MATHEMATICAL REVIEWS)


Table of contents (10 chapters)

  • Steady-State Bifurcation

    Golubitsky, Martin (et al.)

    Pages 1-31

  • Linear Stability

    Golubitsky, Martin (et al.)

    Pages 33-57

  • Time Periodicity and Spatio-Temporal Symmetry

    Golubitsky, Martin (et al.)

    Pages 59-86

  • Hopf Bifurcation with Symmetry

    Golubitsky, Martin (et al.)

    Pages 87-122

  • Steady-State Bifurcations in Euclidean Equivariant Systems

    Golubitsky, Martin (et al.)

    Pages 123-159

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-0348-8167-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA
  • ISBN 978-3-7643-6609-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.99
price for USA
  • ISBN 978-3-7643-2171-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Symmetry Perspective
Book Subtitle
From Equilibrium to Chaos in Phase Space and Physical Space
Authors
Series Title
Progress in Mathematics
Series Volume
200
Copyright
2002
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag
eBook ISBN
978-3-0348-8167-8
DOI
10.1007/978-3-0348-8167-8
Hardcover ISBN
978-3-7643-6609-4
Softcover ISBN
978-3-7643-2171-0
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XVII, 325
Topics