Singularity Theory and Equivariant Symplectic Maps is popular PDF and ePub book, written by Thomas J. Bridges in 2006-11-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Singularity Theory and Equivariant Symplectic Maps can be Read Online from any device for your convenience.
Singularity Theory and Equivariant Symplectic Maps Book PDF Summary
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.
Detail Book of Singularity Theory and Equivariant Symplectic Maps PDF
- Author : Thomas J. Bridges
- Release : 15 November 2006
- Publisher : Springer
- ISBN : 9783540480402
- Genre : Mathematics
- Total Page : 227 pages
- Language : English
- PDF File Size : 7,8 Mb
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