9783540572961
Singularity Theory And Equivariant Symplectic Maps (Lecture Notes In Mathematics) - Thomas J. Bridges, Jacques E. Furter
Springer (1993)
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Differentiable mappings, Singularities (Mathematics), Bifurcation theory

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.

Product Details
LoC Classification QA613.64 .B75 1993
Dewey 514/.74
Format Paperback
Cover Price 46,00 €
No. of Pages 226
Height x Width 240 mm
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