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The Symmetry Perspective : From Equilibrium to Chaos in Phase Space and Physical Space - M. Golubitsky

The Symmetry Perspective

From Equilibrium to Chaos in Phase Space and Physical Space

Paperback Published: 24th October 2003
ISBN: 9783764321710
Number Of Pages: 325

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  • Hardcover View Product Published: 1st January 2002

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.

Industry 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)

Steady-State Bifurcation
Linear Stability
Time Periodicity and Spatio-Temporal Symmetry
Hopf Bifurcation with Symmetry
Steady-State Bifurcations in Euclidean Equivariant Systems
Bifurcation From Group Orbits
Hidden Symmetry and Genericity
Heteroclinic Cycles
Symmetric Chaos
Periodic Solutions of Symmetric Hamiltonian Systems.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783764321710
ISBN-10: 3764321717
Series: Progress in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 325
Published: 24th October 2003
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 18.03 x 23.93  x 1.75
Weight (kg): 0.65