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Dynamics and symmetry

Author: Mike Field
Publisher: London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific, ©2007.
Series: Imperial College Press advanced texts in mathematics, v. 3.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This important book forms a theoretical basis of future work on equivariant reversible and Hamiltonian systems. This book also provides a general and comprehensive introduction to codimension one equivariant bifurcation theory. In particular, it includes the bifurcation theory developed with Roger Richardson on subgroups of reflection groups and the Maximal Isotropy Subgroup Conjecture. A number of general results  Read more...
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Document Type: Book
All Authors / Contributors: Mike Field
ISBN: 9781860948282 1860948286
OCLC Number: 166373567
Description: xiv, 478 pages : illustrations ; 24 cm.
Contents: Groups; Group Actions and Representations; Smooth G-Manifolds; Equivariant Bifurcation Theory: Steady State Bifurcation; Equivariant Bifurcation Theory: Dynamics; Equivariant Transversality; Applications of G-Transversality to Bifurcation Theory I; Equivariant Dynamics; Dynamical Systems on G-Manifolds; Applications of G-Transversality to Bifurcation Theory II.
Series Title: Imperial College Press advanced texts in mathematics, v. 3.
Responsibility: Michael J. Field.
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Abstract:

Contains systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant  Read more...

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