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Více informací o knize Dynamics and Symmetry

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Algebra

• Plný název: Dynamics and Symmetry
• Autor: Michael J Field
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 500
• EAN: 9781860948282
• ID: 04306001
• Nakladatelství: World Scientific Publishing
• Hmotnost: 833 g
• Rozměry: 233 × 161 × 32 mm
• Datum vydání: 15. October 2007

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