The Symmetry Perspective
Subtitle: From Equilibrium to Chaos in Phase Space and Physical Space
Edition: 1st ed. 2002. Corr. 2nd printing edition
Publisher: Birkhäuser Basel; Birkh�user Basel
Published: January 12, 2004
Language: eng
Format: Paperback
Number of pages: 325
ISBN-13: 9783764321710
Subjects: Differential Equations; Science; Mathematics; Science/Mathematics; Mathematical Analysis; Physics; Chaos; Dynamical Systems; Fractals; Mathematics / Differential Equations; Nuclear Physics
First sentence: Most research in dynamical systems theory is currently focused on exotic behavior such as chaos.
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.