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The Symmetry Perspective: From Equilibrium to Chaos in Phase Space and Physical Space
by Martin Golubitsky ; Ian Stewart
Binding: Hardcover, 325 pages
Publisher: Birkhauser
ISBN 10: 0817621717
ISBN 13: 9780817621711
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Book 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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