The Symmetry Perspective. From Equilibrium to Chaos in Phase Space and Physical Space
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Author(s): M. Golubitsky and I. Stewart
Publisher: Birkhäuser
ISBN: 3764321717
Format: softback
323pp
Price: €42
Review Date: 10 December 2003
Review: 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, the viewpoint of symmetry. This symmetry can be used to gain an insight into the mechanisms by which a pattern forms. Chapters cover: linear stability; time periodicity and spatio-temporal symmetry; the Hopf bifurcation with symmetry; steady-state bifurcations in Euclidean equivariant systems; bifurcations from group orbits; hidden symmetry and genericity; heteroclinic cycles; symmetric chaos; and periodic solutions of symmetric Hamiltonian systems.