| 书目名称 | Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems |
| 副标题 | Results and Examples |
| 编辑 | Heinz Hanβmann |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form .n-.parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way. |
| 出版日期 | Book 2007 |
| 关键词 | Cantor; Invariant; KAM Theory; dynamical systems; multiparameter bifurcation; proof; ramified torus bundle |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-540-38894-X |
| isbn_softcover | 978-3-540-38894-4 |
| isbn_ebook | 978-3-540-38896-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2007 |
发表于 2025-3-21 18:06:08
