ENGLISH

The Symmetry Perspective: From Equilibrium to Chaos in Phase Space and Physical Space

By Martin Golubitsky , Ian Stewart (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2002
ISBN
978-3-7643-6609-4, 978-3-0348-8167-8
DOI
10.1007/978-3-0348-8167-8
Language
english
Format
PDF
Filesize
24 MB (25577485 bytes)
Series
Progress in Mathematics 200
Edition
1
Pages
325\337
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Dynamical Systems and ComplexityDynamical Systems and Ergodic Theory;Functions of

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.

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