Dynamics and Symmetry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Michael J. Field 作者

译者

2007-9 出版日期

492 页数

$ 170.00 价格

丛书系列

9781860948282 图书编码

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发表于2025-02-18

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Dynamics and Symmetry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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Dynamics and Symmetry 在线电子书图书描述

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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