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portada Dynamics and Symmetry
Dynamics and SymmetryDynamics and SymmetryDynamics and Symmetry
Type
Physical Book
Author
Publisher
Language
English
Pages
492
Format
Hardcover
Dimensions
22.9x16.6x3.1 cm
Weight
0.84 kg.
ISBN
1860948286
ISBN13
9781860948282
Categories

Dynamics and Symmetry

Michael Field (Author) · Imperial College Press · Hardcover

Dynamics and Symmetry - Field, Michael

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Synopsis "Dynamics and Symmetry"

This book contains the first 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 bifurcation, it describes many general families of examples of equivariant bifurcation and includes a number of novel geometric techniques, in particular, equivariant transversality. 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 are also given on the global theory. Introductory material on groups, representations and G-manifolds are covered in the first three chapters of the book. In addition, a self-contained introduction of equivariant transversality is given, including necessary results on stratifications as well as results on equivariant jet transversality developed by Edward Bierstone.

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