| 书目名称 | Singularity Theory and Equivariant Symplectic Maps |
| 编辑 | Thomas J. Bridges,Jacques E. Furter |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The monograph is a study of the local bifurcations ofmultiparametersymplectic maps of arbitrary dimension in theneighborhood of a fixed point.The problem is reduced to astudy of critical points of an equivariantgradientbifurcation problem, using the correspondence between orbitsofa symplectic map and critical points of an actionfunctional. New results onsingularity theory forequivariant gradient bifurcation problems areobtained andthen used to classify singularities of bifurcating period-qpoints. Of particular interest is that a general frameworkfor analyzing group-theoretic aspects and singularities ofsymplectic maps(particularly period-q points) is presented.Topics include: bifurcations when the symplectic map hasspatial symmetry and a theory for the collision ofmultipliers near rational points with and without spatialsymmetry.The monograph also includes 11 self-containedappendices each with a basicresult on symplectic maps. Themonograph will appeal to researchers and graduate studentsin the areas of symplectic maps, Hamiltoniansystems,singularity theory and equivariant bifurcation theory. |
| 出版日期 | Book 1993 |
| 关键词 | Area; Hamiltonian systems; bifurcation; classification; framework; function; functional; hamiltonian system |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0073471 |
| isbn_softcover | 978-3-540-57296-1 |
| isbn_ebook | 978-3-540-48040-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1993 |
发表于 2025-3-21 17:59:01
