The Symmetry Perspective
From Equilibrium to Chaos in Phase Space and Physical Space
1st ed. 2002. Corr. 2nd printing edition
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Word Count
81,250 words, Guess
Page Count
325 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9089964M
- ISBN-139783764321710
- ISBN-103764321717
- Library of Congress Control Number2003063014
- Goodreads164556
and 1 more
- LibraryThing4542951
Classifications
- LCCQ172.5.S95 G65 2003
Description
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.
First Sentence
Most research in dynamical systems theory is currently focused on exotic behavior such as chaos.
Subjects
Topics
Other Editions
- The Symmetry Perspective: From Equilibrium to Chaos in Phase Space and Physical Space
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