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Více informací o knize Singularity Theory and Equivariant Symplectic Maps

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Anotace knihy

The monograph is a study of the local bifurcations of§multiparameter symplectic maps of arbitrary dimension in the§neighborhood of a fixed point.The problem is reduced to a§study of critical points of an equivariant gradient§bifurcation problem, using the correspondence between orbits§ofa symplectic map and critical points of an action§functional. New results onsingularity theory for§equivariant gradient bifurcation problems are obtained and§then used to classify singularities of bifurcating period-q§points. Of particular interest is that a general framework§for analyzing group-theoretic aspects and singularities of§symplectic maps (particularly period-q points) is presented.§Topics include: bifurcations when the symplectic map has§spatial symmetry and a theory for the collision of§multipliers near rational points with and without spatial§symmetry. The monograph also includes 11 self-contained§appendices each with a basic result on symplectic maps. The§monograph will appeal to researchers and graduate students§in the areas of symplectic maps, Hamiltonian systems,§singularity theory and equivariant bifurcation theory.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Singularity Theory and Equivariant Symplectic Maps
• Autor: Thomas J. Bridges, Jacques E. Furter
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 230
• EAN: 9783540572961
• ISBN: 3540572961
• ID: 01565713
• Nakladatelství: Springer, Berlin
• Hmotnost: 366 g
• Rozměry: 234 × 156 × 12 mm
• Rok vydání: 1993

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