Singularity Theory and Equivariant Symplectic Maps

Beschreibung

Neuware -The monograph is a study of the local bifurcations ofmultiparameter 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. 236 pp. Englisch.

Bestandsnummer des Verkäufers 9783540572961

Verkäufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel

Singularity Theory and Equivariant Symplectic Maps

Verlag

Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1993

Erscheinungsjahr

1993

Sprache

Englisch

ISBN-10

3540572961

ISBN-13

9783540572961

Einband

Taschenbuch

Zustand

Neu

Abmessungen

235B x 155 H x 13 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 13 mm

Gewicht

365 Gramm

Über diesen Titel