Authors:
- Winner of the Ferran Sunyer i Balaguer Prize 2000
- New revised softbound edition
Part of the book series: Progress in Mathematics (PM, volume 200)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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)
Authors and Affiliations
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Department of Mathematics, University of Houston, Houston, USA
Martin Golubitsky
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Mathematics Institute, University of Warwick, Coventry, UK
Ian Stewart
Bibliographic Information
Book Title: The Symmetry Perspective
Book Subtitle: From Equilibrium to Chaos in Phase Space and Physical Space
Authors: Martin Golubitsky, Ian Stewart
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-0348-8167-8
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Verlag 2002
Hardcover ISBN: 978-3-7643-6609-4Published: 01 January 2002
Softcover ISBN: 978-3-7643-2171-0Published: 24 October 2003
eBook ISBN: 978-3-0348-8167-8Published: 06 December 2012
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XVII, 325
Topics: Mathematical and Computational Engineering, Applications of Mathematics, Dynamical Systems and Ergodic Theory, Functions of a Complex Variable, Complex Systems, Statistical Physics and Dynamical Systems