Dynamics and Symmetry

Dynamics and Symmetry
Author :
Publisher : World Scientific
Total Pages : 493
Release :
ISBN-10 : 9781860948282
ISBN-13 : 1860948286
Rating : 4/5 (286 Downloads)

Book Synopsis Dynamics and Symmetry by : Mike Field

Download or read book Dynamics and Symmetry written by Mike Field and published by World Scientific. This book was released on 2007 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Dynamics and Symmetry Related Books

Dynamics and Symmetry
Language: en
Pages: 493
Authors: Mike Field
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: World Scientific

GET EBOOK

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 gene
Symmetry and Perturbation Theory in Nonlinear Dynamics
Language: en
Pages: 218
Authors: Giampaolo Cicogna
Categories: Science
Type: BOOK - Published: 2003-07-01 - Publisher: Springer Science & Business Media

GET EBOOK

has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian a
Lectures on Bifurcations, Dynamics and Symmetry
Language: en
Pages: 172
Authors: Michael Field
Categories: Mathematics
Type: BOOK - Published: 1996-09-11 - Publisher: CRC Press

GET EBOOK

This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente
Dynamical Symmetry
Language: en
Pages: 459
Authors: Carl Wulfman
Categories: Science
Type: BOOK - Published: 2011 - Publisher: World Scientific

GET EBOOK

Whenever systems are governed by continuous chains of causes and effects, their behavior exhibits the consequences of dynamical symmetries, many of them far fro
Non-relativistic Quantum Theory: Dynamics, Symmetry And Geometry
Language: en
Pages: 458
Authors: Kai S Lam
Categories: Science
Type: BOOK - Published: 2009-08-24 - Publisher: World Scientific Publishing Company

GET EBOOK

This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its c